diff --git a/README.md b/README.md
index 228b0c0c..e89b0db2 100644
--- a/README.md
+++ b/README.md
@@ -1,37 +1,431 @@
-# optyx
+# Optyx: A ZX-based Python library for networked quantum architectures
 
-Compiler for photonics technologies
+Optyx is an open-source Python library for designing, simulating, and optimizing networked, hybrid qubit–photon architectures. It offers a compositional, ZX/ZW-based, string-diagram front end (built within the [DisCoPy](https://github.com/discopy/discopy) ecosystem) that lets you specify experiments mixing qubit registers with discrete-variable photonic modes, lossy channels, heralded measurements, and classical/quantum feedback. Optyx compiles these diagrams to optimized tensor networks and executes them with state-of-the-art contraction backends ([Quimb](https://github.com/jcmgray/quimb) and [Cotengra](https://github.com/jcmgray/cotengra)), delivering substantial speedups on hybrid circuits. The result is an end-to-end workflow—from high-level syntax to numerics—well-suited for rapid prototyping of qubit-photon experiments.
 
-# Development
+## Basic syntax: the CNOT gate
 
-## Format the code
+Circuits in Optyx are **diagrams** made of **wires** and **boxes**. Wires represent different types of data such as quantum `qubit` and `qmode` or classical `bit` and `mode`. Boxes are basic processes with input and output wires that can be composed, in sequence or in parallel, to form diagrams.
 
+### Monoidal syntax
+
+In monoidal syntax, `>>` denotes sequential composition and `@` denotes parallel composition (also known as tensor product).
+For example, you can build the CNOT gate from the **Z** and **X** generators of the **ZX caluclus** (don't forget the scalar!).
+
+```python
+from optyx import qubit
+from optyx.qubits import Z, X, Scalar
+
+cnot = Z(1, 2) @ qubit >> qubit @ X(2, 1) @ Scalar(2 ** 0.5)
+cnot.draw()
 ```
-black optyx/
+
+### Function syntax
+
+Alternatively, you can treat each generator as a **function** acting on **labelled wires** and **call the generators** 
+directly on the labels. This makes complex diagrams easier to read and write, and mirrors the style used in [Guppy](https://github.com/CQCL/guppylang).
+
+```python
+@Channel.from_callable(
+  dom=qubit @ qubit, cod=qubit @ qubit
+)
+def cnot(a, b):
+  c, d = Z(1, 2)(a)
+  e = X(2, 1)(d, b)
+  Scalar(2 ** 0.5)()
+  return c, e
 ```
 
-## Lint the code
+## Qubit example: teleportation protocol
+
+Quantum teleportation transfers an unknown qubit state from sender (Alice) to receiver (Bob) using shared entanglement and feedforward of two classical bits. Alice performs a joint Bell-state measurement on the unknown qubit and her half of an entangled pair, and sends the two-bit outcome to Bob, who applies a corresponding Pauli correction (I, X, Z, or XZ) to recover the exact state.
+
+https://en.wikipedia.org/wiki/Quantum_teleportation#/media/File:Quantum_teleportation_circuit.svg :
+
+<img src="./docs/notebooks/teleport.svg" alt="Teleportation Protocol" width="800" style="max-width:100%;">
 
+### Define the protocol
+
+Write the protocol using function syntax:
+
+```python
+from optyx import bit
+from optyx.qubits import Measure
+from optyx.classical import CtrlX, CtrlZ
+
+bell = Scalar(0.5 ** 0.5) @ Z(0, 2)
+
+@Channel.from_callable(
+  dom=qubit, cod=qubit
+)
+def teleportation(c):
+  a, b = bell()
+  cc, aa = cnot(c, a)
+  c_ = Measure(1)(H()(cc))
+  a_ = Measure(1)(aa)
+  bb = CtrlX(a_, b)
+  return CtrlZ(c_, bb)
 ```
-pflake8 optyx/
-pylint optyx/
+
+Or using monoidal syntax:
+
+```python
+teleportation_monoidal_syntax = (
+    qubit @ bell >>
+    cnot @ qubit >>
+    H() @ qubit ** 2 >>
+    Measure(1) @ Measure(1) @ qubit >>
+    bit @ CtrlX >>
+    CtrlZ
+)
 ```
 
-## Test the code
+### Simulate using backends
+
 
+```python
+import numpy as np
+from optyx.qubits import Id
+
+np.allclose(
+    teleportation.eval().tensor.array,
+    teleportation_monoidal_syntax.eval().tensor.array,
+    Id(1).double().to_tensor().eval().array
+)
 ```
-pytest .
+
+Optyx evaluates diagrams via pluggable backends. By default it compiles a diagram to a tensor network, optimizes a contraction path with **cotengra**, and contracts it with **quimb** (CPU/GPU; dense/sparse). For linear-optical circuits, Optyx also exposes a **Perceval** backend using permanent-based algorithms, and a tensor-network-based **DisCoPy** backend; you can choose among these depending on the task.
+
+```python
+from optyx.core.backends import (
+    DiscopyBackend,
+    QuimbBackend
+)
+
+np.allclose(
+    teleportation.eval(DiscopyBackend()).tensor.array,
+    teleportation.eval(QuimbBackend()).tensor.array
+)
 ```
 
-## Test the code and produce coverage statistics
 
+### Verify with PyZX
+
+We can obtain the underlying CPTP map by doubling (CP-construction) an Optyx diagram:
+
+
+```python
+teleportation_monoidal_syntax.double().draw(figsize=(8, 8))
 ```
-coverage run -m pytest .
-coverage report --fail-under=95 --show-missing
+
+
+
+![svg](./docs/notebooks/readme_example_files/readme_example_25_0.svg)
+
+
+
+This way we can use [PyZX](https://github.com/zxcalc/pyzx) and its optimisation/simplifications functionalities:
+
+
+```python
+import pyzx
+pyzx_graph = teleportation_monoidal_syntax.double().to_pyzx()
+pyzx.full_reduce(pyzx_graph, quiet=True)
+pyzx_graph.normalize()
+pyzx.draw(pyzx_graph)
 ```
 
-## Build the documentation
+![png](./docs/notebooks/readme_example_files/pyzx_identity.png)
+
+The diagram (a doubled identity) is the identity CPTP map as expected.
+
+
+## Photonic example: the Hong-Ou-Mandel effect
+
+he Hong–Ou–Mandel (HOM) effect is a two-photon interference phenomenon where indistinguishable photons entering a 50:50 beamsplitter “bunch” and exit together through the same output register. This effect is a standard benchmark for photon indistinguishability in photonic experiments. We show via simulation how both distinguishability and photon loss affect the effect.
+
+### Noiseless setting
 
+```python
+from optyx.photonic import BS, Create
+
+beam_splitter = BS
+beam_splitter.draw()
+
+HOM = (
+    Create(1) @ Create(1) >>
+    beam_splitter
+)
+
+HOM.eval().prob_dist()
 ```
-sphinx-build docs docs/_build/html
+
+
+
+
+    {(0, 2): 0.5, (1, 1): 0, (2, 0): 0.5}
+
+
+### Photon loss
+
+We model photon loss in optyx using the `PhotonLoss` generator. We can check that the HOM circuit gives a non-zero probability of detecting one photon, in the presence of loss.
+
+```python
+from optyx.photonic import Id, PhotonLoss, NumberResolvingMeasurement
+from optyx.classical import AddN
+
+lossy_HOM = Create(1, 1) >> PhotonLoss(0.8) @ Id(1) >> BS 
+lossy_HOM = lossy_HOM >> NumberResolvingMeasurement(2) >> AddN(2)
+assert np.isclose(lossy_HOM.eval().prob_dist()[(1,)], 0.2)
 ```
+
+
+### Distinguishability
+
+We model distinshability in optyx by assigning **internal states** to photons in the circuit.
+The overlap between internal states defines the pairwise distinguishability of the corresponding photons.
+
+```python
+import numpy as np
+from optyx.photonic import BS
+
+internal_state_1 = [1, 0]
+internal_state_2 = [np.sqrt(0.9), np.sqrt(0.1)]
+
+create = Create(1, 1, internal_states=(
+    internal_state_1, internal_state_2))
+
+distinguishable_HOM = create >> BS >> NumberResolvingMeasurement(2)
+result = distinguishable_HOM.inflate(
+    len(internal_state_1)).eval().prob_dist()
+
+theoretical_result = 0.5 - 0.5 * np.abs(
+    np.array(internal_state_1).dot(
+        np.array(internal_state_2).conjugate()))**2
+assert np.isclose(result[(1, 1)], theoretical_result, 3)
+```
+
+ 
+## Hybrid example: distributed entanglement generation
+
+Distributed entanglement generation links two distant quantum nodes (A and B) by creating a shared entangled pair. Each node emits a photon that travels to a shared site, where the photons interfere and a joint Bell measurement flags success — instantly projecting A and B into an entangled state. Because attempts often fail due to loss, the process is repeated-until-success with timing. This is the core primitive behind quantum networks and repeaters, enabling long-distance QKD, teleportation, and multi-node protocols.
+
+Main, D., Drmota, P., Nadlinger, D.P. et al. Distributed quantum computing across an optical network link. Nature 638, 383–388 (2025). https://doi.org/10.1038/s41586-024-08404-x~ :
+
+![Distributed entanglement](./docs/notebooks/distributed_entanglement.png "An example of distributed entanglement generation")
+
+
+### Define the protocol
+
+Bell measurements on photonic qubits can be performed probabilistically using a circuit known as Type II fusion.
+Since the photons are emitted from distinct processors, they will be partially distinguishable. 
+This is modeled in optyx by assigning internal states to the `DualRail` boxes that encode a qubit into two photonic modes.
+
+
+```python
+from optyx.qubits import Z, Scalar, Id, Measure
+from optyx.photonic import DualRail
+from optyx.classical import PostselectBit
+from discopy.drawing import Equation
+
+bell_state = Z(0, 2) @ Scalar(0.5 ** 0.5)
+
+internal_state_1 = [1, 0]
+internal_state_2 = [0, 1]
+dual_rail_encoding = lambda state: DualRail(1, internal_states=[state])
+encoding_layer =  dual_rail_encoding(internal_state_1) @ dual_rail_encoding(internal_state_2)
+
+# postselect on fusion success and no Pauli byproducts
+post_select = PostselectBit(1) @ PostselectBit(0)
+
+protocol = (
+    bell_state @ bell_state >>
+    Id(1) @ (encoding_layer >> FusionTypeII() >> post_select) @ Id(1)
+)
+measure = Measure(2)
+
+Equation(protocol >> measure, bell_state >> measure).draw(figsize=(8, 8))
+```
+
+![svg](./docs/notebooks/readme_example_files/readme_example_54_0.svg)
+
+
+#### Test the protocol for different internal states
+
+We test how partial photon distinguishability affects the heralded entanglement link. We compute the **process fidelity** of the protocol(overlap between the noisy and ideal states).
+
+```python
+import math
+from optyx.qubits import Discard
+
+def rotated_unit_vectors(n: int = 10):
+    for i in range(n):
+        theta = i * (math.pi / 2) / (n - 1)
+        yield (math.cos(theta), math.sin(theta))
+
+unit_vectors = list(rotated_unit_vectors(15))
+
+inner_product_states = []
+inner_product_bell_states = []
+
+for vector in unit_vectors:
+    encoding_layer =  dual_rail_encoding(internal_state_1) @ dual_rail_encoding(vector)
+    experiment = bell_state @ bell_state >> Id(1) @ (encoding_layer >> FusionTypeII()
+                                                                                >> post_select) @ Id(1)
+
+    process_fidelity = (experiment >> bell_state.dagger()).inflate(2).eval().tensor.array
+    normalisation = (experiment >> Discard(2)).inflate(2).eval().tensor.array
+
+    inner_product_states.append(np.inner(vector, internal_state_1))
+    inner_product_bell_states.append(process_fidelity/normalisation)
+```
+
+The simulation data reveals how distinguishability affects the fidelity of the entanglement generation protocol.
+
+```python
+import matplotlib.pyplot as plt
+
+plt.figure(figsize=(6, 4))
+plt.plot(inner_product_states, inner_product_bell_states, marker='o')
+plt.xlabel('<Internal state 1 | Internal state 2>')
+plt.ylabel('<Result | Bell State> (fidelity)')
+plt.title('Fidelity of the resulting state with the perfect Bell state')
+plt.grid(True)
+plt.show()
+```
+
+![svg](./docs/notebooks/readme_example_files/readme_example_59_0.svg)
+
+
+## Interfaces with external libraries
+
+### Graphix interface
+
+Import an `OpenGraph` from [graphix](https://github.com/TeamGraphix/graphix).
+
+
+```python
+import graphix
+
+circuit = graphix.Circuit(2)
+circuit.cnot(0, 1)
+
+pattern = circuit.transpile().pattern
+
+simulator = graphix.simulator.PatternSimulator(pattern, backend="statevector")
+graphix_result = simulator.run().psi.conj()
+```
+
+
+```python
+from optyx.qubits import Circuit, Ket
+
+optyx_zx = Circuit(pattern)
+
+optyx_res = (
+    qubits.Ket("+")**2 >> optyx_zx
+).eval().amplitudes()
+
+for keys in optyx_res.keys():
+    assert np.isclose(optyx_res[keys], graphix_result[keys], atol=1e-6)
+```
+
+### Perceval circuits and processors
+
+Interface with both processors and circuits in [Perceval](https://github.com/Quandela/Perceval).
+
+
+```python
+import perceval as pcvl
+
+p = pcvl.Processor("SLOS", 6)
+p.add(0, pcvl.catalog["postprocessed cnot"].build_processor())
+
+p.add(0, pcvl.BS.H())
+p.add(0, pcvl.Detector.pnr())
+p.add(1, pcvl.Detector.pnr())
+p.add(2, pcvl.Detector.pnr())
+p.add(3, pcvl.Detector.pnr())
+
+ff_X = pcvl.FFCircuitProvider(
+  2, 0, pcvl.Circuit(2)
+)
+ff_X.add_configuration(
+  [0, 1], pcvl.PERM([1, 0])
+)
+p.add(2, ff_X)
+
+phi = pcvl.P("phi")
+ff_Z = pcvl.FFConfigurator(
+  2, 3,
+  pcvl.PS(phi),
+  {"phi": 0}
+).add_configuration(
+  [0, 1],
+  {"phi": np.pi}
+)
+p.add(0, ff_Z)
+
+pcvl.pdisplay(p, recursive=True)
+```
+
+
+
+
+![svg](./docs/notebooks/readme_example_files/readme_example_68_0.svg)
+
+
+
+
+
+Evaluate the protocol in Perceval.
+
+```python
+
+to_transmit = (complex(state_array[0])*pcvl.BasicState([1, 0]) +
+               complex(state_array[1])*pcvl.BasicState([0, 1]))
+
+sg = pcvl.StateGenerator(pcvl.Encoding.DUAL_RAIL)
+bell_state = sg.bell_state("phi+")
+
+input_state = to_transmit * bell_state
+p.min_detected_photons_filter(2)
+
+input_state *= pcvl.BasicState([0, 0])
+
+p.with_input(input_state)
+
+result_perceval = p.probs()
+```
+
+Convert to optyx and check that the results agree.
+
+
+```python
+optyx_diagram = Channel.from_perceval(p)
+
+bell_state = Z(0, 2) @ Scalar(0.5**0.5)
+transmit = Ket("+") >> Z(1, 1, 0.3)
+
+input_state = transmit @ bell_state
+
+protocol = (
+    input_state >>
+    DualRail(3) >>
+    Channel.from_perceval(p)
+)
+
+result_optyx = protocol.eval().prob_dist()
+
+def check_dict_agreement(d1, d2, rtol=1e-5, atol=1e-8):
+    for key in d1.keys() - d2.keys():
+        assert np.isclose(d1[key], 0, rtol=rtol, atol=atol)
+    for key in d2.keys() - d1.keys():
+        assert np.isclose(d2[key], 0, rtol=rtol, atol=atol)
+    for key in d1.keys() & d2.keys():
+        assert np.isclose(d1[key], d2[key], rtol=rtol, atol=atol)
+
+check_dict_agreement(
+    {tuple(k): v for k, v in dict(result_perceval["results"]).items()},
+    result_optyx
+)
+```
\ No newline at end of file
diff --git a/docs/notebooks.rst b/docs/notebooks.rst
index a7b78f4a..2b6e74e8 100644
--- a/docs/notebooks.rst
+++ b/docs/notebooks.rst
@@ -11,5 +11,4 @@ Here we give examples of using ``optyx``:
     notebooks/optyx-compilation.ipynb
     notebooks/optyx-vqe-experiment.ipynb
     notebooks/bosonic-vqe.ipynb
-    notebooks/compile_to_semm.ipynb
     notebooks/photon_distinguishability.ipynb
diff --git a/docs/notebooks/bosonic-vqe-2.ipynb b/docs/notebooks/bosonic-vqe-2.ipynb
index c558f36d..d028b85c 100644
--- a/docs/notebooks/bosonic-vqe-2.ipynb
+++ b/docs/notebooks/bosonic-vqe-2.ipynb
@@ -17,11 +17,11 @@
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+       "    <g clip-path=\"url(#p3b4158f82d)\">\n",
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@@ -1699,15 +1699,15 @@
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-       "    <g clip-path=\"url(#pdf91bd2a9d)\">\n",
+       "    <g clip-path=\"url(#p3b4158f82d)\">\n",
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@@ -1761,71 +1761,6 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "05f93f4b",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "import numpy as np\n",
-    "sum = np.sum([(term.double().to_tensor(input_dims = [3,3,3,3], max_dim=3).to_quimb()^...).data for term in terms])"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 4,
-   "id": "4351a6e7",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "(67.9411254969543+0j)"
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-     },
-     "execution_count": 4,
-     "metadata": {},
-     "output_type": "execute_result"
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-   ],
-   "source": [
-    "sum"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 5,
-   "id": "a9759ff9",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "terms_2 = hamiltonian.double().terms\n",
-    "\n",
-    "sum = np.sum([(term_2.to_tensor(input_dims = [3,3,3,3], max_dim=3).to_quimb()^...).data for term_2 in terms_2])"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 6,
-   "id": "c21af673",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "(67.9411254969543+0j)"
-      ]
-     },
-     "execution_count": 6,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "sum"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 7,
    "id": "8a02308c-aba4-4a39-9325-faee4c1f0c2d",
    "metadata": {},
    "outputs": [],
@@ -1835,11 +1770,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": null,
    "id": "f4e5462d-464d-4b09-8574-6867522b61ea",
    "metadata": {},
    "outputs": [],
    "source": [
+    "from optyx.core.backends import DiscopyBackend\n",
+    "\n",
     "def to_float(x):\n",
     "    if isinstance(x, complex):\n",
     "        assert x.imag < 1e-10, x\n",
@@ -1848,18 +1785,18 @@
     "\n",
     "free_syms = list(expectation.free_symbols)\n",
     "\n",
-    "f_exp = lambda xs: to_float(expectation.lambdify(*free_syms)(*xs).eval().array[0, 0])\n",
+    "f_exp = lambda xs: to_float(expectation.lambdify(*free_syms)(*xs).eval().tensor.array)\n",
     "\n",
     "def d_f_exp(xs):\n",
     "    return [\n",
-    "        expectation.grad(s).lambdify(*free_syms)(*xs).eval().array[0, 0]\n",
+    "        expectation.grad(s).lambdify(*free_syms)(*xs).eval().tensor.array\n",
     "        for s in free_syms\n",
     "    ]"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 7,
    "id": "24355282-4c9c-40b3-b643-461981f9475f",
    "metadata": {},
    "outputs": [],
@@ -1890,7 +1827,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 8,
    "id": "e96227b0-db8e-4871-8c12-b1d034a4bc86",
    "metadata": {},
    "outputs": [
@@ -1898,7 +1835,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "100%|██████████| 10/10 [06:35<00:00, 39.56s/it]\n"
+      "100%|██████████| 10/10 [04:56<00:00, 29.62s/it]\n"
      ]
     }
    ],
@@ -1908,10 +1845,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 9,
    "id": "088c8fa8-76b3-45bd-a5dd-b337be0d33b1",
    "metadata": {},
    "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/matplotlib/cbook.py:1719: ComplexWarning: Casting complex values to real discards the imaginary part\n",
+      "  return math.isfinite(val)\n",
+      "/home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/matplotlib/cbook.py:1355: ComplexWarning: Casting complex values to real discards the imaginary part\n",
+      "  return np.asarray(x, float)\n"
+     ]
+    },
     {
      "data": {
       "image/svg+xml": [
@@ -1923,11 +1870,11 @@
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        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2025-07-01T15:06:04.533106</dc:date>\n",
+       "    <dc:date>2025-09-05T20:15:39.618171</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.10.0, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.10.5, https://matplotlib.org/</dc:title>\n",
        "     </cc:Agent>\n",
        "    </dc:creator>\n",
        "   </cc:Work>\n",
@@ -1958,12 +1905,12 @@
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        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"m0e5b5a5bae\" d=\"M 0 0 \n",
+       "       <path id=\"mb60952e2f5\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m0e5b5a5bae\" x=\"54.71554\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb60952e2f5\" x=\"54.71554\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
@@ -1999,7 +1946,7 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m0e5b5a5bae\" x=\"119.646449\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb60952e2f5\" x=\"119.646449\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
@@ -2038,7 +1985,7 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m0e5b5a5bae\" x=\"184.577358\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb60952e2f5\" x=\"184.577358\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
@@ -2072,7 +2019,7 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m0e5b5a5bae\" x=\"249.508267\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb60952e2f5\" x=\"249.508267\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
@@ -2117,7 +2064,7 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m0e5b5a5bae\" x=\"314.439176\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb60952e2f5\" x=\"314.439176\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
@@ -2171,7 +2118,7 @@
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m0e5b5a5bae\" x=\"379.370085\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb60952e2f5\" x=\"379.370085\" y=\"273.312\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
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@@ -2203,12 +2150,12 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <defs>\n",
-       "       <path id=\"m99fbb71ef4\" d=\"M 0 0 \n",
+       "       <path id=\"m020a1198a5\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m99fbb71ef4\" x=\"38.482813\" y=\"236.616595\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m020a1198a5\" x=\"38.482813\" y=\"236.616595\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
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        "     </g>\n",
        "     <g id=\"text_7\">\n",
@@ -2240,7 +2187,7 @@
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m99fbb71ef4\" x=\"38.482813\" y=\"184.874401\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m020a1198a5\" x=\"38.482813\" y=\"184.874401\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
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@@ -2256,7 +2203,7 @@
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m99fbb71ef4\" x=\"38.482813\" y=\"133.132207\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m020a1198a5\" x=\"38.482813\" y=\"133.132207\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
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        "     <g id=\"text_9\">\n",
@@ -2272,7 +2219,7 @@
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m99fbb71ef4\" x=\"38.482813\" y=\"81.390013\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m020a1198a5\" x=\"38.482813\" y=\"81.390013\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
@@ -2287,7 +2234,7 @@
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m99fbb71ef4\" x=\"38.482813\" y=\"29.647819\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m020a1198a5\" x=\"38.482813\" y=\"29.647819\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
@@ -2302,7 +2249,7 @@
        "   </g>\n",
        "   <g id=\"line2d_12\">\n",
        "    <defs>\n",
-       "     <path id=\"m4e524198b8\" d=\"M 0 1.5 \n",
+       "     <path id=\"ma4aef5440d\" d=\"M 0 1.5 \n",
        "C 0.397805 1.5 0.77937 1.341951 1.06066 1.06066 \n",
        "C 1.341951 0.77937 1.5 0.397805 1.5 0 \n",
        "C 1.5 -0.397805 1.341951 -0.77937 1.06066 -1.06066 \n",
@@ -2314,18 +2261,18 @@
        "z\n",
        "\" style=\"stroke: #0000ff\"/>\n",
        "    </defs>\n",
-       "    <g clip-path=\"url(#p99f766aeba)\">\n",
-       "     <use xlink:href=\"#m4e524198b8\" x=\"54.71554\" y=\"19.296\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
-       "     <use xlink:href=\"#m4e524198b8\" x=\"87.180994\" y=\"128.674625\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
-       "     <use xlink:href=\"#m4e524198b8\" x=\"119.646449\" y=\"172.191339\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
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-       "     <use xlink:href=\"#m4e524198b8\" x=\"184.577358\" y=\"224.024215\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
-       "     <use xlink:href=\"#m4e524198b8\" x=\"217.042813\" y=\"240.624501\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
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-       "     <use xlink:href=\"#m4e524198b8\" x=\"281.973722\" y=\"256.858981\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
-       "     <use xlink:href=\"#m4e524198b8\" x=\"314.439176\" y=\"259.810304\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
-       "     <use xlink:href=\"#m4e524198b8\" x=\"346.904631\" y=\"261.06328\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
-       "     <use xlink:href=\"#m4e524198b8\" x=\"379.370085\" y=\"261.216\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
+       "    <g clip-path=\"url(#pdb3284be10)\">\n",
+       "     <use xlink:href=\"#ma4aef5440d\" x=\"54.71554\" y=\"19.296\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
+       "     <use xlink:href=\"#ma4aef5440d\" x=\"87.180994\" y=\"128.674625\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
+       "     <use xlink:href=\"#ma4aef5440d\" x=\"119.646449\" y=\"172.191339\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
+       "     <use xlink:href=\"#ma4aef5440d\" x=\"152.111903\" y=\"200.84295\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
+       "     <use xlink:href=\"#ma4aef5440d\" x=\"184.577358\" y=\"224.024215\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
+       "     <use xlink:href=\"#ma4aef5440d\" x=\"217.042813\" y=\"240.624501\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
+       "     <use xlink:href=\"#ma4aef5440d\" x=\"249.508267\" y=\"251.094574\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
+       "     <use xlink:href=\"#ma4aef5440d\" x=\"281.973722\" y=\"256.858981\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
+       "     <use xlink:href=\"#ma4aef5440d\" x=\"314.439176\" y=\"259.810304\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
+       "     <use xlink:href=\"#ma4aef5440d\" x=\"346.904631\" y=\"261.06328\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
+       "     <use xlink:href=\"#ma4aef5440d\" x=\"379.370085\" y=\"261.216\" style=\"fill: #0000ff; stroke: #0000ff\"/>\n",
        "    </g>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
@@ -2351,7 +2298,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p99f766aeba\">\n",
+       "  <clipPath id=\"pdb3284be10\">\n",
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        "  </clipPath>\n",
        " </defs>\n",
@@ -2371,19 +2318,11 @@
     "plt.plot(range(len(xs)),fxs,'b.')\n",
     "plt.show()"
    ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "id": "ce3cd5e4-f9b5-4f29-b805-7bee285dfed7",
-   "metadata": {},
-   "outputs": [],
-   "source": []
   }
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": ".venv",
    "language": "python",
    "name": "python3"
   },
@@ -2397,7 +2336,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.12"
+   "version": "3.12.3"
   }
  },
  "nbformat": 4,
diff --git a/docs/notebooks/compile_to_semm.ipynb b/docs/notebooks/compile_to_semm.ipynb
index 101cd911..05c69408 100644
--- a/docs/notebooks/compile_to_semm.ipynb
+++ b/docs/notebooks/compile_to_semm.ipynb
@@ -28,7 +28,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -52,10 +52,24 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 3,
    "id": "573c939f-f521-4663-a843-7aac795fefd6",
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "ename": "ValueError",
+     "evalue": "Output node cannot be measured.",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[31m---------------------------------------------------------------------------\u001b[39m",
+      "\u001b[31mValueError\u001b[39m                                Traceback (most recent call last)",
+      "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[3]\u001b[39m\u001b[32m, line 7\u001b[39m\n\u001b[32m      4\u001b[39m inputs = {\u001b[32m0\u001b[39m}\n\u001b[32m      5\u001b[39m outputs = {\u001b[32m2\u001b[39m}\n\u001b[32m----> \u001b[39m\u001b[32m7\u001b[39m og = \u001b[43mOpenGraph\u001b[49m\u001b[43m(\u001b[49m\u001b[43mg\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mmeas\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43minputs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43moutputs\u001b[49m\u001b[43m)\u001b[49m\n",
+      "\u001b[36mFile \u001b[39m\u001b[32m<string>:7\u001b[39m, in \u001b[36m__init__\u001b[39m\u001b[34m(self, inside, measurements, inputs, outputs)\u001b[39m\n",
+      "\u001b[36mFile \u001b[39m\u001b[32m~/Documents/optyx/.venv/lib/python3.12/site-packages/graphix/opengraph.py:84\u001b[39m, in \u001b[36mOpenGraph.__post_init__\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m     82\u001b[39m     \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[33m\"\u001b[39m\u001b[33mAll output nodes must be part of the graph\u001b[39m\u001b[33m'\u001b[39m\u001b[33ms nodes.\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m     83\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28many\u001b[39m(node \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m.outputs \u001b[38;5;28;01mfor\u001b[39;00m node \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m.measurements):\n\u001b[32m---> \u001b[39m\u001b[32m84\u001b[39m     \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[33m\"\u001b[39m\u001b[33mOutput node cannot be measured.\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m     85\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(\u001b[38;5;28mset\u001b[39m(\u001b[38;5;28mself\u001b[39m.inputs)) != \u001b[38;5;28mlen\u001b[39m(\u001b[38;5;28mself\u001b[39m.inputs):\n\u001b[32m     86\u001b[39m     \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[33m\"\u001b[39m\u001b[33mInput nodes contain duplicates.\u001b[39m\u001b[33m\"\u001b[39m)\n",
+      "\u001b[31mValueError\u001b[39m: Output node cannot be measured."
+     ]
+    }
+   ],
    "source": [
     "from optyx.compiler import OpenGraph, Measurement\n",
     "\n",
@@ -76,7 +90,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": null,
    "id": "412aa1a5-6959-447b-b1d0-fe8891060229",
    "metadata": {},
    "outputs": [
@@ -106,7 +120,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3 (ipykernel)",
+   "display_name": ".venv",
    "language": "python",
    "name": "python3"
   },
@@ -120,7 +134,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.11.9"
+   "version": "3.12.3"
   }
  },
  "nbformat": 4,
diff --git a/docs/notebooks/distributed-412-code.ipynb b/docs/notebooks/distributed-412-code.ipynb
index 2745afbb..90f19ffa 100644
--- a/docs/notebooks/distributed-412-code.ipynb
+++ b/docs/notebooks/distributed-412-code.ipynb
@@ -95,11 +95,11 @@
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        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2025-07-01T15:29:41.334534</dc:date>\n",
+       "    <dc:date>2025-09-05T12:03:16.012191</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.10.0, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.10.5, https://matplotlib.org/</dc:title>\n",
        "     </cc:Agent>\n",
        "    </dc:creator>\n",
        "   </cc:Work>\n",
@@ -124,177 +124,177 @@
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        "L 7.2 7.2 \n",
        "z\n",
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+       "\" clip-path=\"url(#p76c1da9424)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Calculated fidelity a whole round of error detection: 0.49714692979130937\n"
+      "Calculated fidelity a whole round of error detection: 0.4971469297913094\n"
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diff --git a/docs/notebooks/distributed-422-code.ipynb b/docs/notebooks/distributed-422-code.ipynb
index 7943c846..e27600c1 100644
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        " <defs>\n",
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      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Calculated fidelity for Z error detection: 0.9864120233027301\n"
+      "Calculated fidelity for Z error detection: 0.9864120233027304\n"
      ]
     }
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      "output_type": "stream",
      "text": [
-      "Calculated fidelity a whole round of error detection: 0.9732135897032679\n"
+      "Calculated fidelity a whole round of error detection: 0.973213589703268\n"
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-       "    <dc:date>2025-07-01T15:35:13.938848</dc:date>\n",
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-       "   </g>\n",
-       "   <g id=\"text_50\">\n",
-       "    <g clip-path=\"url(#p2c1bab663b)\">\n",
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@@ -17663,10 +17635,38 @@
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        "   </g>\n",
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-       "    <g clip-path=\"url(#p2c1bab663b)\">\n",
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        "   <g id=\"text_57\">\n",
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-       "    <dc:date>2025-07-01T15:35:47.385694</dc:date>\n",
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        "    <dc:creator>\n",
        "     <cc:Agent>\n",
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        "      <defs>\n",
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@@ -18815,7 +18815,7 @@
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        " <defs>\n",
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        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2025-07-01T15:35:47.466024</dc:date>\n",
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        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.10.0, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.10.5, https://matplotlib.org/</dc:title>\n",
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@@ -18874,12 +18874,12 @@
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        "      <defs>\n",
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+       "       <path id=\"m94844d99f1\" d=\"M 0 0 \n",
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@@ -19474,7 +19474,7 @@
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@@ -19862,7 +19862,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": ".venv",
    "language": "python",
    "name": "python3"
   },
@@ -19876,7 +19876,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.12"
+   "version": "3.12.3"
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diff --git a/docs/notebooks/feed_forward_example.ipynb b/docs/notebooks/feed_forward_example.ipynb
index 1991706e..2a98f6a8 100644
--- a/docs/notebooks/feed_forward_example.ipynb
+++ b/docs/notebooks/feed_forward_example.ipynb
@@ -71,21 +71,18 @@
    "outputs": [],
    "source": [
     "from optyx import qmode\n",
-    "\n",
+    "from optyx.core.channel import Diagram, bit, qubit\n",
     "from optyx.photonic import (\n",
     "    DualRail,\n",
-    "    Swap,\n",
     "    HadamardBS\n",
     ")\n",
     "\n",
-    "fusion = (\n",
-    "    HadamardBS() @ HadamardBS() >>\n",
-    "    qmode @ Swap(1, 1) @ qmode >>\n",
-    "    qmode @ HadamardBS() @ qmode >>\n",
-    "    Swap(1, 1) @ qmode @ qmode >>\n",
-    "    qmode @ Swap(1, 1) @ qmode >>\n",
-    "    qmode @ qmode @ HadamardBS()\n",
-    ")"
+    "@Diagram.from_callable(dom=qmode**4, cod=qmode**4)\n",
+    "def fusion(*a):\n",
+    "    b = (HadamardBS() @ HadamardBS())(*a)\n",
+    "    c1, c2 = HadamardBS()(b[2], b[1])\n",
+    "    d1, d2 = HadamardBS()(b[0], b[3])\n",
+    "    return c1, c2, d1, d2"
    ]
   },
   {
@@ -234,16 +231,16 @@
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        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2025-07-11T08:58:10.336908</dc:date>\n",
+       "    <dc:date>2025-09-04T14:54:28.447721</dc:date>\n",
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        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.10.0, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.10.5, https://matplotlib.org/</dc:title>\n",
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@@ -254,393 +251,616 @@
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        "    </g>\n",
        "   </g>\n",
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        "   </g>\n",
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        "   </g>\n",
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        "   </g>\n",
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        "   </g>\n",
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       "text/plain": [
-       "<Figure size 650x1200 with 1 Axes>"
+       "<Figure size 800x1000 with 1 Axes>"
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      "metadata": {},
@@ -2152,7 +2552,7 @@
     }
    ],
    "source": [
-    "teleportation.foliation().draw()"
+    "teleportation.foliation().draw(figsize=(8, 10))"
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   {
@@ -2161,7 +2561,7 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "array_teleportation = teleportation.double().to_tensor().eval().array"
+    "array_teleportation = teleportation.eval().tensor.array"
    ]
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   {
@@ -2173,7 +2573,7 @@
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+   "execution_count": 14,
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@@ -2186,7 +2586,7 @@
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+   "execution_count": 15,
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@@ -2195,7 +2595,7 @@
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       ]
      },
-     "execution_count": 10,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -2216,7 +2616,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": ".venv",
    "language": "python",
    "name": "python3"
   },
@@ -2230,7 +2630,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.12"
+   "version": "3.12.3"
   }
  },
  "nbformat": 4,
diff --git a/docs/notebooks/optyx-compilation.ipynb b/docs/notebooks/optyx-compilation.ipynb
deleted file mode 100644
index b22db722..00000000
--- a/docs/notebooks/optyx-compilation.ipynb
+++ /dev/null
@@ -1,279 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# Transpilation to Linear Optics via ZX Dual-Rail Encoding"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "Start with a simple qubit quantum circuit."
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 1,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANwAAAFACAYAAADXiRINAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAEGtJREFUeJzt3U9I1Pn/wPHXZ0xKDd1Bw5uBidhBCDdR8LJrEamj7UEoosMaXVsWvGgdRwjqEoXsRccVRSq8NG0oSrIXDxETZQdRSiP2kgjukDM6TDuv3+H7U2q3P6Yzr49+5vkAL+PH97zEnn5mPn4+nxxVVQFgwuf2AEA2ITjAEMEBhggOMERwgCGCAwwRHGCI4ABDBAcYyqrg2trapK2tze0x8P+y8eeRVcEBbiM4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDq5IpVKSSCRkbW1NlpaWJJVKuT2SiX1uD4DssbCwIKFQSKanpyUSici7d+9ERKS0tFQKCwulpqZGGhoa5OLFi1JeXu7ytJnBHg4ZNzMzI83NzVJRUSG9vb1SXFwsnZ2dm58fGRmRrq4uKS4ult7eXqmoqJDm5mZ58eKFi1NniGaR1tZWbW1tdXuMrJFMJjUYDGpubq5WVVVpKBTSWCymqqqrq6sqIioiurq6uvk1sVhMQ6GQVlVVaW5urgaDQU0mk259C2mXNcHNzc1pfX29Hj9+XCcmJnRubs7tkTwtHo9rS0uL5uTk6JUrV3R9ff2jz38uuA3r6+va3d2tPp9PA4GAxuNxq9EzytPBra2t6dDQkNbW1m7+cD/8qK2t1aGhIV1bW3N7VE9JJpPa0tKieXl5Oj4+/sltvhbchvHxcc3Ly9NAIOCJPZ1ngwuHw+r3+1VE1OfzfTK4jcf9fr+Gw2G3R/aMYDCoOTk5n41NdevBqaqOjY1pTk6O9vT0pHtUc54Mrq+vTx3HUcdxPhnavz82tu3r63N79D3v+fPnmpubq93d3V/c7luCU1Xt7u7W3NxcnZmZSdeornBUVQ2OzZh58OCBnDlzRrbzbTmOI/fv35fW1tYMTJYdmpubZXFxUZ49eyb79+//7HaxWEwOHjwoIiKrq6tSUFDwxXUTiYQcO3ZMysvL5eHDh2md2ZTLwafV2tqa+v3+Le/Z/v3hOI76/f7/vMHH1rx8+VIdx9FQKPTVbb91D6eq2t/fr47j6KtXr3Y6qms89Xe40dFRWVlZ2dbeTUREVWVlZUVGR0fTPFl2GBgYkKKiIjl79mxG1j937pwUFRXJwMBARta34Kngbt26JT7fzr4ln88nt2/fTtNE2WV6elpOnDgh+fn5GVk/Pz9fGhsbZXp6OiPrW/DMqV3z8/Py5MmTHa+TSqXk8ePHMj8/L5WVlWmYLDukUimJRCLS2dkpsVjsq9t/uM1Wtt9QXV0tN2/eFFUVx3G2NaubPHPQZHJyUk6dOpW29err6+XQoUNpW8/rEomETExMmD3f0tLSnvz5eOYl5erqalrXe//+fVrX8zrrs/0TiYTp86WLZ15SbhxiTpdr167JyZMn07qmly0tLUlpaamMjIxIW1vbV7ePxWJSWloqIiJv37796p8FNoTDYTl//vwX/+Swm3kmuMOHD6d1vbKysrSu53UlJSVSWFgor1+/3nI8GwoKCrb8NYuLi1JUVCQlJSXbGdN1nnlJWVlZKbW1tWk5SllXV8cBk2/k8/mkpqZGIpFIRp8nEolITU3NnjxgIuKh4EREfvnllx2/l0ilUnL58uU0TZRdGhoa5NGjRxKPxzOyfjwel6mpKWloaMjI+hY8FVx7e7v4/f5t//ZzHEf8fr+0t7enebLs0NHRIdFoVO7evZuR9e/cuSPRaFQ6Ojoysr4FTwV34MABGRwc3NEag4ODe/YNuduOHDkip0+fluvXr6f9KOL6+rrcuHFDmpqa9vbtF1w9sSxDuFrAPTMzM1wt8AWeDE6V6+HcFAwG1efzpfV6OJ/Px/Vwu936+roODw9rXV3dJ4Orq6vT4eFhrg5Is2QyqYFAQPPy8nRsbOyT22w1uLGxMa743os+vKfJ5OQk9zTJsHg8roFAQHNycrS7u3tb9zTp6uriniZ7GXftspVMJrWnp2fzrl39/f1bumtXf3//5l27enp6PLFn2+CZM02w++zbt0+uXr0qbW1t0tXVJZcuXZLOzk5pbGyU6urqze3C4bAsLi5KJBKRqakpiUaj0tTUJPfu3ftoOy/wzNUCW7Fxjl84HHZ5kuy0sLAgAwMDMj09LU+fPpVoNLr5uaKios07L3d0dOztQ/9fQHBwRSqVkqamJkmlUjIyMiLFxcU7Pi1vL+AlJVzh8/k2TzDYi9e1bZf3f6UAuwjBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYb2uT3Ah968eSPLy8sZW//vv/8WEZGnT59m7DlEREpKSqSsrCyjz4G9adcE9+bNGzl69KjE4/GMP9f333+f0fXz8/NldnaW6PAfuya45eVlicfjMjw8LEePHnV7nG2bnZ2VCxcuyPLyMsHhP3ZNcBuOHj0qNTU1bo8BZAQHTQBDBAcYIjjAEMEBhggOMERwgCGCAwwRHGCI4ABDBAcYIjjAEMEBhggOMERwgCGCAwwRHGDI88H9/PPP8tNPP/3n8T///FMcx9m8zwlgwfPBAbsJwQGGCA4wtOtuIpQJf/zxhxw8ePCjx/755x+XpkE2y4rgfvzxR/ntt98+euzx48dy4cIFlyZCtsqK4AoKCqSiouKjx/766y+XpkE24z0cYIjgAEMEBxjy/Hu433///ZOP//DDD6KqtsMg67GHAwwRHGCI4ABDBAcYIjjAEMEBhggOMERwgCGCAwwRHGCI4ABDBAcYIjjAEMEBhggOMERwgCGCAwwRHGCI4ABDu+6eJrOzs26PsCN7fX5k1q4JrqSkRPLz8z1xN+T8/HwpKSlxewzsQrsmuLKyMpmdnZXl5eWMPcevv/4qIiI3b97M2HOI/O+XR1lZWUafA3vTrglO5H/RZfIf6nfffSciIjU1NRl7DuBLOGgCGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBwRWpVEoSiYSsra3J0tKSpFIpt0cysc/tAZA9FhYWJBQKyfT0tEQiEXn37p2IiJSWlkphYaHU1NRIQ0ODXLx4UcrLy12eNjPYwyHjZmZmpLm5WSoqKqS3t1eKi4uls7Nz8/MjIyPS1dUlxcXF0tvbKxUVFdLc3CwvXrxwceoM0SzS2tqqra2tbo+RNZLJpAaDQc3NzdWqqioNhUIai8VUVXV1dVVFREVEV1dXN78mFotpKBTSqqoqzc3N1WAwqMlk0q1vIe2yJri5uTmtr6/X48eP68TEhM7Nzbk9kqfF43FtaWnRnJwcvXLliq6vr3/0+c8Ft2F9fV27u7vV5/NpIBDQeDxuNXpGeTq4tbU1HRoa0tra2s0f7ocftbW1OjQ0pGtra26P6inJZFJbWlo0Ly9Px8fHP7nN14LbMD4+rnl5eRoIBDyxp/NscOFwWP1+v4qI+ny+Twa38bjf79dwOOz2yJ4RDAY1Jyfns7Gpbj04VdWxsTHNycnRnp6edI9qzpPB9fX1qeM46jjOJ0P798fGtn19fW6Pvuc9f/5cc3Nztbu7+4vbfUtwqqrd3d2am5urMzMz6RrVFY6qqsGxGTMPHjyQM2fOyHa+Lcdx5P79+9La2pqBybJDc3OzLC4uyrNnz2T//v2f3S4Wi8nBgwdFRGR1dVUKCgq+uG4ikZBjx45JeXm5PHz4MK0zm3I5+LRaW1tTv9+/5T3bvz8cx1G/3/+fN/jYmpcvX6rjOBoKhb667bfu4VRV+/v71XEcffXq1U5HdY2n/g43OjoqKysr29q7iYioqqysrMjo6GiaJ8sOAwMDUlRUJGfPns3I+ufOnZOioiIZGBjIyPoWPBXcrVu3xOfb2bfk8/nk9u3baZoou0xPT8uJEyckPz8/I+vn5+dLY2OjTE9PZ2R9C545tWt+fl6ePHmy43VSqZQ8fvxY5ufnpbKyMg2TZYdUKiWRSEQ6OzslFot9dfsPt9nK9huqq6vl5s2boqriOM62ZnWTZw6aTE5OyqlTp9K2Xn19vRw6dCht63ldIpGQiYkJs+dbWlrakz8fz7ykXF1dTet679+/T+t6Xmd9tn8ikTB9vnTxzEvKjUPM6XLt2jU5efJkWtf0sqWlJSktLZWRkRFpa2v76vaxWExKS0tFROTt27df/bPAhnA4LOfPn//inxx2M88Ed/jw4bSuV1ZWltb1vK6kpEQKCwvl9evXW45nQ0FBwZa/ZnFxUYqKiqSkpGQ7Y7rOMy8pKysrpba2Ni1HKevq6jhg8o18Pp/U1NRIJBLJ6PNEIhGpqanZkwdMRDwUnIjIL7/8suP3EqlUSi5fvpymibJLQ0ODPHr0SOLxeEbWj8fjMjU1JQ0NDRlZ34Kngmtvbxe/37/t336O44jf75f29vY0T5YdOjo6JBqNyt27dzOy/p07dyQajUpHR0dG1rfgqeAOHDggg4ODO1pjcHBwz74hd9uRI0fk9OnTcv369bQfRVxfX5cbN25IU1PT3r79gqsnlmUIVwu4Z2ZmhqsFvsCTwalyPZybgsGg+ny+tF4P5/P5uB5ut1tfX9fh4WGtq6v7ZHB1dXU6PDzM1QFplkwmNRAIaF5eno6NjX1ym60GNzY2xhXfe9GH9zSZnJzkniYZFo/HNRAIaE5OjnZ3d2/rniZdXV3c02Qv465dtpLJpPb09Gzetau/v39Ld+3q7+/fvGtXT0+PJ/ZsGzxzpgl2n3379snVq1elra1Nurq65NKlS9LZ2SmNjY1SXV29uV04HJbFxUWJRCIyNTUl0WhUmpqa5N69ex9t5wWeuVpgKzbO8QuHwy5Pkp0WFhZkYGBApqen5enTpxKNRjc/V1RUtHnn5Y6Ojr196P8LCA6uSKVS0tTUJKlUSkZGRqS4uHjHp+XtBbykhCt8Pt/mCQZ78bq27fL+rxRgFyE4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wBDBAYYIDjBEcIAhggMMERxgiOAAQwQHGCI4wFBW/R/fgNvYwwGGCA4wRHCAIYIDDBEcYIjgAEMEBxgiOMAQwQGG/g/EooOv5o7jQQAAAABJRU5ErkJggg==",
-      "text/plain": [
-       "<Figure size 200x300 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "from discopy.quantum import CX, H, Id\n",
-    "\n",
-    "circuit = CX >> H @ Id(1) >> CX\n",
-    "circuit.draw()"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "Convert to ZX using `circuit2zx`"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 2,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 400x700 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "from discopy.quantum.zx import circuit2zx\n",
-    "\n",
-    "diagram = circuit2zx(circuit)\n",
-    "diagram.draw()"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "Convert to QPath using `zx_to_path`"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 4,
-   "metadata": {
-    "scrolled": true
-   },
-   "outputs": [
-    {
-     "ename": "TypeError",
-     "evalue": "can only concatenate tuple (not \"Z\") to tuple",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
-      "Cell \u001b[0;32mIn[4], line 3\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;21;01moptyx\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mcore\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mzx\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mimport\u001b[39;00m zx_to_path\n\u001b[0;32m----> 3\u001b[0m circ \u001b[38;5;241m=\u001b[39m \u001b[43mzx_to_path\u001b[49m\u001b[43m(\u001b[49m\u001b[43mdiagram\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m      4\u001b[0m circ\u001b[38;5;241m.\u001b[39mdraw(draw_box_labels\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mFalse\u001b[39;00m, draw_type_labels\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mFalse\u001b[39;00m)\n",
-      "File \u001b[0;32m~/Documents/optyx/dist_merge_gates/optyx/optyx/core/zx.py:634\u001b[0m, in \u001b[0;36mzx_to_path\u001b[0;34m(diagram)\u001b[0m\n\u001b[1;32m    630\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;21mzx_to_path\u001b[39m(diagram: diagram\u001b[38;5;241m.\u001b[39mDiagram) \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m>\u001b[39m diagram\u001b[38;5;241m.\u001b[39mDiagram:\n\u001b[1;32m    631\u001b[0m \u001b[38;5;250m    \u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m    632\u001b[0m \u001b[38;5;124;03m    Dual-rail encoding of any ZX diagram as a QPath diagram.\u001b[39;00m\n\u001b[1;32m    633\u001b[0m \u001b[38;5;124;03m    \"\"\"\u001b[39;00m\n\u001b[0;32m--> 634\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m zx2path(\u001b[43mdecomp\u001b[49m\u001b[43m(\u001b[49m\u001b[43mdiagram\u001b[49m\u001b[43m)\u001b[49m)\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/symmetric.py:355\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    353\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(other, Swap):\n\u001b[1;32m    354\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar\u001b[38;5;241m.\u001b[39mswap(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom[\u001b[38;5;241m0\u001b[39m]), \u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom[\u001b[38;5;241m1\u001b[39m]))\n\u001b[0;32m--> 355\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/balanced.py:213\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    211\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(other, Trace):\n\u001b[1;32m    212\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m traced\u001b[38;5;241m.\u001b[39mFunctor\u001b[38;5;241m.\u001b[39m\u001b[38;5;21m__call__\u001b[39m(\u001b[38;5;28mself\u001b[39m, other)\n\u001b[0;32m--> 213\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mbraided\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mFunctor\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/braided.py:259\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    257\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(other, Braid) \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m other\u001b[38;5;241m.\u001b[39mis_dagger:\n\u001b[1;32m    258\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar\u001b[38;5;241m.\u001b[39mbraid(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom[\u001b[38;5;241m0\u001b[39m]), \u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom[\u001b[38;5;241m1\u001b[39m]))\n\u001b[0;32m--> 259\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/traced.py:275\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    273\u001b[0m     n \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mlen\u001b[39m(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39marg\u001b[38;5;241m.\u001b[39mdom)) \u001b[38;5;241m-\u001b[39m \u001b[38;5;28mlen\u001b[39m(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom))\n\u001b[1;32m    274\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar\u001b[38;5;241m.\u001b[39mtrace(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39marg), n, left\u001b[38;5;241m=\u001b[39mother\u001b[38;5;241m.\u001b[39mleft)\n\u001b[0;32m--> 275\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/monoidal.py:1115\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m   1113\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(other, Bubble) \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar \u001b[38;5;129;01mis\u001b[39;00m Drawing:\n\u001b[1;32m   1114\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m other\u001b[38;5;241m.\u001b[39mto_drawing()\n\u001b[0;32m-> 1115\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/cat.py:912\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    910\u001b[0m result \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar\u001b[38;5;241m.\u001b[39mid(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom))\n\u001b[1;32m    911\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m box \u001b[38;5;129;01min\u001b[39;00m other\u001b[38;5;241m.\u001b[39minside:\n\u001b[0;32m--> 912\u001b[0m     result \u001b[38;5;241m=\u001b[39m result \u001b[38;5;241m>>\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mbox\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    913\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m result\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/symmetric.py:355\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    353\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(other, Swap):\n\u001b[1;32m    354\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar\u001b[38;5;241m.\u001b[39mswap(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom[\u001b[38;5;241m0\u001b[39m]), \u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom[\u001b[38;5;241m1\u001b[39m]))\n\u001b[0;32m--> 355\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/balanced.py:213\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    211\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(other, Trace):\n\u001b[1;32m    212\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m traced\u001b[38;5;241m.\u001b[39mFunctor\u001b[38;5;241m.\u001b[39m\u001b[38;5;21m__call__\u001b[39m(\u001b[38;5;28mself\u001b[39m, other)\n\u001b[0;32m--> 213\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mbraided\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mFunctor\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/braided.py:259\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    257\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(other, Braid) \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m other\u001b[38;5;241m.\u001b[39mis_dagger:\n\u001b[1;32m    258\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar\u001b[38;5;241m.\u001b[39mbraid(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom[\u001b[38;5;241m0\u001b[39m]), \u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom[\u001b[38;5;241m1\u001b[39m]))\n\u001b[0;32m--> 259\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/traced.py:275\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    273\u001b[0m     n \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mlen\u001b[39m(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39marg\u001b[38;5;241m.\u001b[39mdom)) \u001b[38;5;241m-\u001b[39m \u001b[38;5;28mlen\u001b[39m(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom))\n\u001b[1;32m    274\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar\u001b[38;5;241m.\u001b[39mtrace(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39marg), n, left\u001b[38;5;241m=\u001b[39mother\u001b[38;5;241m.\u001b[39mleft)\n\u001b[0;32m--> 275\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/monoidal.py:1111\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m   1109\u001b[0m     result \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m(head)\n\u001b[1;32m   1110\u001b[0m     \u001b[38;5;28;01mfor\u001b[39;00m box_or_typ \u001b[38;5;129;01min\u001b[39;00m tail:\n\u001b[0;32m-> 1111\u001b[0m         result \u001b[38;5;241m=\u001b[39m result \u001b[38;5;241m@\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mbox_or_typ\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m   1112\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m result\n\u001b[1;32m   1113\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(other, Bubble) \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar \u001b[38;5;129;01mis\u001b[39;00m Drawing:\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/symmetric.py:355\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    353\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(other, Swap):\n\u001b[1;32m    354\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar\u001b[38;5;241m.\u001b[39mswap(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom[\u001b[38;5;241m0\u001b[39m]), \u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom[\u001b[38;5;241m1\u001b[39m]))\n\u001b[0;32m--> 355\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/balanced.py:213\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    211\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(other, Trace):\n\u001b[1;32m    212\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m traced\u001b[38;5;241m.\u001b[39mFunctor\u001b[38;5;241m.\u001b[39m\u001b[38;5;21m__call__\u001b[39m(\u001b[38;5;28mself\u001b[39m, other)\n\u001b[0;32m--> 213\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mbraided\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mFunctor\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/braided.py:259\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    257\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(other, Braid) \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m other\u001b[38;5;241m.\u001b[39mis_dagger:\n\u001b[1;32m    258\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar\u001b[38;5;241m.\u001b[39mbraid(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom[\u001b[38;5;241m0\u001b[39m]), \u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom[\u001b[38;5;241m1\u001b[39m]))\n\u001b[0;32m--> 259\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/traced.py:275\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    273\u001b[0m     n \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mlen\u001b[39m(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39marg\u001b[38;5;241m.\u001b[39mdom)) \u001b[38;5;241m-\u001b[39m \u001b[38;5;28mlen\u001b[39m(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom))\n\u001b[1;32m    274\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar\u001b[38;5;241m.\u001b[39mtrace(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39marg), n, left\u001b[38;5;241m=\u001b[39mother\u001b[38;5;241m.\u001b[39mleft)\n\u001b[0;32m--> 275\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/monoidal.py:1115\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m   1113\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(other, Bubble) \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar \u001b[38;5;129;01mis\u001b[39;00m Drawing:\n\u001b[1;32m   1114\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m other\u001b[38;5;241m.\u001b[39mto_drawing()\n\u001b[0;32m-> 1115\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__call__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mother\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/cat.py:908\u001b[0m, in \u001b[0;36mFunctor.__call__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    905\u001b[0m     result \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mar[other]\n\u001b[1;32m    906\u001b[0m     \u001b[38;5;66;03m# This allows some nice syntactic sugar for the ar mapping.\u001b[39;00m\n\u001b[1;32m    907\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m result \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(result, \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar)\\\n\u001b[0;32m--> 908\u001b[0m         \u001b[38;5;28;01melse\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mcod\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mar\u001b[49m\u001b[43m(\u001b[49m\u001b[43mresult\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mother\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mdom\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mother\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mcod\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    909\u001b[0m assert_isinstance(other, Arrow)\n\u001b[1;32m    910\u001b[0m result \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcod\u001b[38;5;241m.\u001b[39mar\u001b[38;5;241m.\u001b[39mid(\u001b[38;5;28mself\u001b[39m(other\u001b[38;5;241m.\u001b[39mdom))\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/monoidal.py:522\u001b[0m, in \u001b[0;36mDiagram.__init__\u001b[0;34m(self, inside, dom, cod, _scan)\u001b[0m\n\u001b[1;32m    520\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m layer \u001b[38;5;129;01min\u001b[39;00m inside:\n\u001b[1;32m    521\u001b[0m     assert_isinstance(layer, Layer)\n\u001b[0;32m--> 522\u001b[0m \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__init__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43minside\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdom\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcod\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m_scan\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m_scan\u001b[49m\u001b[43m)\u001b[49m\n",
-      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/discopy/cat.py:235\u001b[0m, in \u001b[0;36mArrow.__init__\u001b[0;34m(self, inside, dom, cod, _scan)\u001b[0m\n\u001b[1;32m    233\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m box \u001b[38;5;129;01min\u001b[39;00m inside:\n\u001b[1;32m    234\u001b[0m     assert_isinstance(box, Box)\n\u001b[0;32m--> 235\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m f, g \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mzip\u001b[39m(\u001b[43m(\u001b[49m\u001b[43mId\u001b[49m\u001b[43m(\u001b[49m\u001b[43mdom\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m)\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[43m \u001b[49m\u001b[43minside\u001b[49m, inside \u001b[38;5;241m+\u001b[39m (Id(cod), )):\n\u001b[1;32m    236\u001b[0m     assert_iscomposable(f, g)\n",
-      "\u001b[0;31mTypeError\u001b[0m: can only concatenate tuple (not \"Z\") to tuple"
-     ]
-    }
-   ],
-   "source": [
-    "from optyx.core.zx import zx_to_path\n",
-    "\n",
-    "circ = zx_to_path(diagram)\n",
-    "circ.draw(draw_box_labels=False, draw_type_labels=False)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "In the dual rail encoding, each qubit gets mapped to 2 linear optical modes.\n",
-    "Specifically $\\ket{0}$ and $\\ket{1}$ get mapped to $\\ket{1, 0}$ and $\\ket{0, 1}$ respectively.\n",
-    "\n",
-    "Here are all the $n$ qubit dual rail states."
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 4,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "[[1, 0, 1, 0, 1, 0],\n",
-       " [1, 0, 1, 0, 0, 1],\n",
-       " [1, 0, 0, 1, 1, 0],\n",
-       " [1, 0, 0, 1, 0, 1],\n",
-       " [0, 1, 1, 0, 1, 0],\n",
-       " [0, 1, 1, 0, 0, 1],\n",
-       " [0, 1, 0, 1, 1, 0],\n",
-       " [0, 1, 0, 1, 0, 1]]"
-      ]
-     },
-     "execution_count": 4,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "def dual_rail_states(n_qubits):\n",
-    "    strings = []\n",
-    "    def genbin(n, bs=[]):\n",
-    "        if len(bs) == 2*n:\n",
-    "            strings.append(bs)\n",
-    "        else:\n",
-    "            genbin(n, bs + [1, 0])\n",
-    "            genbin(n, bs + [0, 1])\n",
-    "    genbin(n_qubits)\n",
-    "    return strings\n",
-    "\n",
-    "dual_rail_states(3)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "Then we calculate amplitudes of input output pair by sampling the permenant of the unitary associated with the QPath diagram (For details see https://arxiv.org/abs/1011.3245)."
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 5,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "def evaluate(circ, x, y):\n",
-    "    \"\"\" Evaluate the probability of <y|U_h|x> \"\"\"\n",
-    "    from optyx import Id, Create, Select\n",
-    "    inp = Id().tensor(*[Create(i) for i in x])\n",
-    "    out = Id().tensor(*[Select(i) for i in y])\n",
-    "\n",
-    "    return ((inp >> circ >> out).eval().array.flatten().item())"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 6,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "array([[ 0.707-0.j, -0.   +0.j,  0.   +0.j,  0.707+0.j],\n",
-       "       [-0.   +0.j,  0.707+0.j,  0.707+0.j,  0.   -0.j],\n",
-       "       [-0.   -0.j,  0.707-0.j, -0.707+0.j, -0.   -0.j],\n",
-       "       [ 0.707-0.j, -0.   -0.j, -0.   -0.j, -0.707+0.j]])"
-      ]
-     },
-     "execution_count": 6,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "import numpy as np\n",
-    "\n",
-    "states = dual_rail_states(len(circuit.cod))\n",
-    "array = np.array([[evaluate(circ, x, y) for x in states] for y in states])\n",
-    "np.round(array, decimals=3)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "which is equal to the direct simulation of the original quantum circuit."
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 7,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "array([[ 0.707+0.j,  0.   +0.j,  0.   +0.j,  0.707+0.j],\n",
-       "       [ 0.   +0.j,  0.707+0.j,  0.707+0.j,  0.   +0.j],\n",
-       "       [ 0.   +0.j,  0.707+0.j, -0.707+0.j,  0.   +0.j],\n",
-       "       [ 0.707+0.j,  0.   +0.j,  0.   +0.j, -0.707+0.j]])"
-      ]
-     },
-     "execution_count": 7,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "np.round(circuit.eval().array.reshape(4, 4), decimals=3)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "Python 3",
-   "language": "python",
-   "name": "python3"
-  },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 3
-   },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython3",
-   "version": "3.10.12"
-  }
- },
- "nbformat": 4,
- "nbformat_minor": 4
-}
diff --git a/docs/notebooks/optyx-vqe-experiment.ipynb b/docs/notebooks/optyx-vqe-experiment.ipynb
index 67cb55b4..5e318c0d 100644
--- a/docs/notebooks/optyx-vqe-experiment.ipynb
+++ b/docs/notebooks/optyx-vqe-experiment.ipynb
@@ -32,7 +32,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 200x600 with 1 Axes>"
       ]
@@ -72,7 +72,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 200x1400 with 1 Axes>"
       ]
@@ -93,12 +93,23 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "from optyx.qubits import Circuit"
+    "from optyx.qubits import Circuit\n",
+    "from optyx.core.backends import DiscopyBackend"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 7,
+   "id": "0406fa28",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "path_exp = Circuit(exp).to_dual_rail()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
    "id": "b86a1407-e4ce-4776-ac0e-ce23ea5a9fff",
    "metadata": {},
    "outputs": [],
@@ -112,12 +123,13 @@
     "free_syms = exp.free_symbols\n",
     "\n",
     "path_exp = Circuit(exp).to_dual_rail()\n",
-    "f_exp = lambda xs: to_float(path_exp.lambdify(*free_syms)(*xs).double().to_tensor().eval().array[0, 0])\n",
-    "orig_f_exp = lambda xs: to_float(exp.lambdify(*free_syms)(*xs).double().to_tensor().eval().array.item())\n",
+    "\n",
+    "f_exp = lambda xs: to_float(path_exp.lambdify(*free_syms)(*xs).eval().tensor.array)\n",
+    "orig_f_exp = lambda xs: to_float(exp.lambdify(*free_syms)(*xs).eval().array.item())\n",
     "\n",
     "def d_f_exp(xs):\n",
     "    return [\n",
-    "        path_exp.grad(s).lambdify(*free_syms)(*xs).eval().array[0, 0]\n",
+    "        path_exp.grad(s).lambdify(*free_syms)(*xs).eval().tensor.array\n",
     "        for s in free_syms\n",
     "    ]"
    ]
@@ -132,7 +144,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": null,
    "id": "41ea980c-40c4-4bd2-8731-fc84fb110f41",
    "metadata": {},
    "outputs": [],
@@ -147,17 +159,15 @@
     "    x = x0\n",
     "\n",
     "    for _ in tqdm(range(20)):\n",
+    "        orig_fx = orig_f_exp(x)\n",
     "        fx = f_exp(x)\n",
     "        dfx = d_f_exp(x)\n",
-    "        orig_fx = orig_f_exp(x)\n",
-    "\n",
     "        # verifies that the conversion is correct\n",
     "        assert abs(orig_fx - fx) < 1e-10\n",
     "\n",
     "        xs.append(x[::])\n",
     "        fxs.append(fx)\n",
     "        dfxs.append(dfx)\n",
-    "        # print(x, fx, dfx)\n",
     "        for i, dfxx in enumerate(dfx):\n",
     "            x[i] = to_float(x[i] - 0.01 * dfxx)\n",
     "    xs.append(x[::])\n",
@@ -167,7 +177,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 10,
    "id": "cd5e3e93-5d75-415d-bbcc-14022c9ecf97",
    "metadata": {
     "scrolled": true
@@ -177,7 +187,287 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "  0%|          | 0/20 [00:00<?, ?it/s]"
+      "  5%|▌         | 1/20 [00:02<00:41,  2.20s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.8385254915624215\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 10%|█         | 2/20 [00:04<00:38,  2.16s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.7711039313289111\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 15%|█▌        | 3/20 [00:06<00:36,  2.15s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.6787280203868928\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 20%|██        | 4/20 [00:08<00:33,  2.09s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.561851722253541\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 25%|██▌       | 5/20 [00:10<00:31,  2.12s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.4296238247323758\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 30%|███       | 6/20 [00:12<00:29,  2.13s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.29959341800206996\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 35%|███▌      | 7/20 [00:14<00:27,  2.13s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.18996344005095658\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 40%|████      | 8/20 [00:16<00:25,  2.09s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.10985803661254136\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 45%|████▌     | 9/20 [00:19<00:23,  2.11s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.057103882372305376\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 50%|█████     | 10/20 [00:21<00:21,  2.11s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.023521573022446115\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 55%|█████▌    | 11/20 [00:23<00:18,  2.08s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.000415985082452835\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 60%|██████    | 12/20 [00:25<00:16,  2.10s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "-0.01932481270375224\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 65%|██████▌   | 13/20 [00:27<00:14,  2.11s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "-0.04148099296641865\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 70%|███████   | 14/20 [00:29<00:12,  2.08s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "-0.0714343170674597\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 75%|███████▌  | 15/20 [00:31<00:10,  2.10s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "-0.11488446907551937\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 80%|████████  | 16/20 [00:33<00:08,  2.11s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "-0.17779636062909193\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 85%|████████▌ | 17/20 [00:35<00:06,  2.11s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "-0.2649466539403759\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 90%|█████████ | 18/20 [00:37<00:04,  2.09s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "-0.3766785210831544\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      " 95%|█████████▌| 19/20 [00:40<00:02,  2.11s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "-0.5051429153418859\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "100%|██████████| 20/20 [00:42<00:00,  2.11s/it]"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "-0.6340993442622342\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
      ]
     }
    ],
@@ -187,7 +477,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 11,
    "id": "3a0c4436-86d9-4a16-9bc2-7eba1cc440f7",
    "metadata": {},
    "outputs": [
@@ -197,13 +487,13 @@
        "<Axes: >"
       ]
      },
-     "execution_count": 7,
+     "execution_count": 11,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
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",
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       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -220,11 +510,19 @@
     "    **{f'x{i}': [v[i] for v in xs] for i in range(len(free_syms))}\n",
     "}).plot()"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "c4e312d7",
+   "metadata": {},
+   "outputs": [],
+   "source": []
   }
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": ".venv",
    "language": "python",
    "name": "python3"
   },
@@ -238,7 +536,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.12"
+   "version": "3.12.3"
   }
  },
  "nbformat": 4,
diff --git a/docs/notebooks/photon_distinguishability.ipynb b/docs/notebooks/photon_distinguishability.ipynb
index bc3e323c..6d4653d1 100644
--- a/docs/notebooks/photon_distinguishability.ipynb
+++ b/docs/notebooks/photon_distinguishability.ipynb
@@ -61,11 +61,11 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2025-07-11T08:56:28.547486</dc:date>\n",
+       "    <dc:date>2025-09-04T14:45:17.238229</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.10.0, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.10.5, https://matplotlib.org/</dc:title>\n",
        "     </cc:Agent>\n",
        "    </dc:creator>\n",
        "   </cc:Work>\n",
@@ -90,37 +90,37 @@
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        "L 7.2 7.2 \n",
        "z\n",
-       "\" clip-path=\"url(#pce30823637)\" style=\"fill: #ffffff; stroke: #ffffff; stroke-linejoin: miter\"/>\n",
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        "   </g>\n",
        "   <g id=\"patch_3\">\n",
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        "Q 223.2 43.2 223.2 61.2 \n",
-       "\" clip-path=\"url(#pce30823637)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
+       "\" clip-path=\"url(#pd22800e47d)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_4\">\n",
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        "Q 223.2 97.2 223.2 97.2 \n",
-       "\" clip-path=\"url(#pce30823637)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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        "   <g id=\"patch_5\">\n",
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        "Q 115.2 169.2 115.2 169.2 \n",
-       "\" clip-path=\"url(#pce30823637)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
+       "\" clip-path=\"url(#pd22800e47d)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_6\">\n",
        "    <path d=\"M 331.2 133.2 \n",
        "Q 331.2 169.2 331.2 169.2 \n",
-       "\" clip-path=\"url(#pce30823637)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
+       "\" clip-path=\"url(#pd22800e47d)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_7\">\n",
        "    <path d=\"M 115.2 205.2 \n",
        "Q 115.2 223.2 115.2 223.2 \n",
-       "\" clip-path=\"url(#pce30823637)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
+       "\" clip-path=\"url(#pd22800e47d)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_8\">\n",
        "    <path d=\"M 331.2 205.2 \n",
        "Q 331.2 223.2 331.2 223.2 \n",
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+       "\" clip-path=\"url(#pd22800e47d)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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@@ -128,7 +128,7 @@
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-       "\" clip-path=\"url(#pce30823637)\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
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@@ -136,7 +136,7 @@
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        "z\n",
-       "\" clip-path=\"url(#pce30823637)\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
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@@ -144,11 +144,11 @@
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        "z\n",
-       "\" clip-path=\"url(#pce30823637)\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
+       "\" clip-path=\"url(#pd22800e47d)\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
        "   </g>\n",
        "   <g id=\"PathCollection_1\">\n",
        "    <defs>\n",
-       "     <path id=\"me13a503d70\" d=\"M 0 6.578374 \n",
+       "     <path id=\"m5994983a8f\" d=\"M 0 6.578374 \n",
        "C 1.744605 6.578374 3.417991 5.885235 4.651613 4.651613 \n",
        "C 5.885235 3.417991 6.578374 1.744605 6.578374 0 \n",
        "C 6.578374 -1.744605 5.885235 -3.417991 4.651613 -4.651613 \n",
@@ -160,8 +160,8 @@
        "z\n",
        "\" style=\"stroke: #776ff3\"/>\n",
        "    </defs>\n",
-       "    <g clip-path=\"url(#pce30823637)\">\n",
-       "     <use xlink:href=\"#me13a503d70\" x=\"223.2\" y=\"43.2\" style=\"fill: #776ff3; stroke: #776ff3\"/>\n",
+       "    <g clip-path=\"url(#pd22800e47d)\">\n",
+       "     <use xlink:href=\"#m5994983a8f\" x=\"223.2\" y=\"43.2\" style=\"fill: #776ff3; stroke: #776ff3\"/>\n",
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        "   </g>\n",
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@@ -667,7 +667,7 @@
        "    </g>\n",
        "   </g>\n",
        "   <g id=\"text_9\">\n",
-       "    <g clip-path=\"url(#pce30823637)\">\n",
+       "    <g clip-path=\"url(#pd22800e47d)\">\n",
        "     <!-- Create(1) -->\n",
        "     <g transform=\"translate(194.766562 46.51125) scale(0.12 -0.12)\">\n",
        "      <defs>\n",
@@ -779,7 +779,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"pce30823637\">\n",
+       "  <clipPath id=\"pd22800e47d\">\n",
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        "  </clipPath>\n",
        " </defs>\n",
@@ -825,11 +825,11 @@
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        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2025-07-11T08:56:28.611310</dc:date>\n",
+       "    <dc:date>2025-09-04T14:45:18.222738</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.10.0, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.10.5, https://matplotlib.org/</dc:title>\n",
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@@ -854,62 +854,62 @@
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-       "\" clip-path=\"url(#p7e7797de41)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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-       "\" clip-path=\"url(#p7e7797de41)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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-       "\" clip-path=\"url(#p7e7797de41)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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        "   <g id=\"patch_11\">\n",
        "    <path d=\"M 259.2 205.2 \n",
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-       "\" clip-path=\"url(#p7e7797de41)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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        "   <g id=\"patch_12\">\n",
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-       "\" clip-path=\"url(#p7e7797de41)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
+       "\" clip-path=\"url(#pe68549364e)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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        "   <g id=\"patch_13\">\n",
        "    <path d=\"M 259.2 277.2 \n",
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-       "\" clip-path=\"url(#p7e7797de41)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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@@ -917,7 +917,7 @@
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        "z\n",
-       "\" clip-path=\"url(#p7e7797de41)\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
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@@ -925,7 +925,7 @@
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        "z\n",
-       "\" clip-path=\"url(#p7e7797de41)\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
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@@ -933,7 +933,7 @@
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@@ -941,7 +941,7 @@
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        "z\n",
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@@ -949,7 +949,7 @@
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-       "\" clip-path=\"url(#p7e7797de41)\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
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@@ -957,7 +957,7 @@
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        "z\n",
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@@ -965,7 +965,7 @@
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        "z\n",
-       "\" clip-path=\"url(#p7e7797de41)\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
+       "\" clip-path=\"url(#pe68549364e)\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
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        "   <g id=\"text_1\">\n",
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@@ -1516,7 +1516,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p7e7797de41\">\n",
+       "  <clipPath id=\"pe68549364e\">\n",
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        "  </clipPath>\n",
        " </defs>\n",
@@ -1595,7 +1595,7 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "result = channel_BS.double().to_tensor(max_dim=3).eval().array"
+    "result = channel_BS.eval().prob_dist()"
    ]
   },
   {
@@ -1606,20 +1606,18 @@
    },
    "outputs": [
     {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "{(0, 2): (0.5+0j), (2, 0): (0.5+0j)}\n"
-     ]
+     "data": {
+      "text/plain": [
+       "{(0, 2): (0.5+0j), (1, 1): (1.2325951644078304e-32+0j), (2, 0): (0.5+0j)}"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
     }
    ],
    "source": [
-    "import numpy as np\n",
-    "\n",
-    "rounded_result = np.round(result, 3)\n",
-    "\n",
-    "non_zero_dict = {idx: val for idx, val in np.ndenumerate(rounded_result) if val != 0}\n",
-    "print(non_zero_dict)"
+    "result"
    ]
   },
   {
@@ -1648,6 +1646,15 @@
    "execution_count": 8,
    "metadata": {},
    "outputs": [],
+   "source": [
+    "import numpy as np"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "internal_state_1 = np.random.rand(2) + 1j*np.random.rand(2)\n",
     "internal_state_1 = internal_state_1 / np.linalg.norm(internal_state_1)\n",
@@ -1657,16 +1664,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([0.40967198+0.60659402j, 0.60777898+0.30792413j])"
+       "array([0.46805045+0.03203795j, 0.78186157+0.41060301j])"
       ]
      },
-     "execution_count": 9,
+     "execution_count": 10,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1677,16 +1684,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([0.46117336+0.69994621j, 0.02085841+0.54493978j])"
+       "array([0.54051796+0.56786515j, 0.46030203+0.41652317j])"
       ]
      },
-     "execution_count": 10,
+     "execution_count": 11,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1697,7 +1704,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1710,33 +1717,33 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [],
    "source": [
-    "result = channel_BS.double().to_tensor(max_dim=3).eval().array"
+    "result = channel_BS.eval().prob_dist()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [
     {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "{(0, 2): (0.435125-0j), (1, 1): (0.129749+0j), (2, 0): (0.435125-0j)}\n"
-     ]
+     "data": {
+      "text/plain": [
+       "{(0, 2): (0.4479236685298761+1.66268625707414e-18j),\n",
+       " (1, 1): (0.10415266294024787-1.7203160321962734e-17j),\n",
+       " (2, 0): (0.4479236685298761+1.5540474064888597e-17j)}"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
     }
    ],
    "source": [
-    "import numpy as np\n",
-    "\n",
-    "rounded_result = np.round(result, 6)\n",
-    "\n",
-    "non_zero_dict = {idx: val for idx, val in np.ndenumerate(rounded_result) if val != 0}\n",
-    "print(non_zero_dict)"
+    "result"
    ]
   },
   {
@@ -1748,16 +1755,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "0.1297494782905118"
+       "0.10415266294024783"
       ]
      },
-     "execution_count": 14,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1777,7 +1784,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [
     {
@@ -1791,11 +1798,11 @@
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        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2025-07-11T08:56:29.397725</dc:date>\n",
+       "    <dc:date>2025-09-04T14:45:30.829444</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.10.0, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.10.5, https://matplotlib.org/</dc:title>\n",
        "     </cc:Agent>\n",
        "    </dc:creator>\n",
        "   </cc:Work>\n",
@@ -1820,182 +1827,182 @@
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        "z\n",
-       "\" clip-path=\"url(#p3ee7baf01e)\" style=\"fill: #ffffff; stroke: #ffffff; stroke-linejoin: miter\"/>\n",
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-       "\" clip-path=\"url(#p3ee7baf01e)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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-       "\" clip-path=\"url(#p3ee7baf01e)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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-       "\" clip-path=\"url(#p3ee7baf01e)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
+       "\" clip-path=\"url(#p3e57b90873)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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-       "\" clip-path=\"url(#p3ee7baf01e)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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        "   <g id=\"patch_8\">\n",
        "    <path d=\"M 385.2 7.2 \n",
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-       "\" clip-path=\"url(#p3ee7baf01e)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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        "   <g id=\"patch_9\">\n",
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-       "\" clip-path=\"url(#p3ee7baf01e)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
+       "\" clip-path=\"url(#p3e57b90873)\" style=\"fill: none; stroke: #000000; stroke-linejoin: miter\"/>\n",
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@@ -2788,7 +2795,7 @@
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@@ -4648,72 +4655,87 @@
     "from optyx.photonic import DualRail\n",
     "from optyx.classical import PostselectBit\n",
     "from discopy.drawing import Equation\n",
+    "from optyx.core.channel import Diagram, bit, qubit, mode, qmode\n",
     "\n",
-    "bell_state = Z(0, 2) @ Scalar(0.5 ** 0.5)\n",
+    "bell_state = (Z(0, 2) @ Scalar(0.5 ** 0.5))\n",
     "dual_rail_encoding = lambda state: DualRail(1, internal_states=[state])\n",
-    "encoding_layer =  dual_rail_encoding(internal_state_1) @ dual_rail_encoding(internal_state_2)\n",
     "post_select = PostselectBit(1) @ PostselectBit(0)\n",
-    "experiment = bell_state @ bell_state >> Id(1) @ (encoding_layer >> fusion_channel >> post_select) @ Id(1)\n",
-    "measure = Measure(2)\n",
-    "Equation(experiment >> measure, bell_state >> measure).draw(figsize=(8, 8))"
+    "\n",
+    "def fusion(internal_state_1, internal_state_2):\n",
+    "    @Diagram.from_callable(dom=bit ** 0, cod=qubit**2)\n",
+    "    def d():\n",
+    "        a = (bell_state @ bell_state)()\n",
+    "        b = (dual_rail_encoding(internal_state_1) @ dual_rail_encoding(internal_state_2))(a[1], a[2])\n",
+    "        c = fusion_channel(*b)\n",
+    "        post_select(c[0], c[1])\n",
+    "        return a[0], a[3]\n",
+    "\n",
+    "    return d\n",
+    "\n",
+    "@Diagram.from_callable(dom=bit ** 0, cod=qubit**2)\n",
+    "def bell():\n",
+    "    a1, a2 = bell_state()\n",
+    "    return a1, a2\n",
+    "\n",
+    "Equation(fusion(internal_state_1, internal_state_2) >> Measure(2), bell >> Measure(2)).draw(figsize=(8, 8))"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "0.25000000000000017"
+       "array(0.25-0.j)"
       ]
      },
-     "execution_count": 18,
+     "execution_count": 19,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
     "from optyx.qubits import Discard\n",
-    "(experiment >> Discard(2)).inflate(2).double().to_tensor(max_dim=3).to_quimb()^..."
+    "(fusion(internal_state_1, internal_state_2) >> Discard(2)).inflate(2).eval().tensor.array"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [],
    "source": [
-    "fidelity = (experiment >> bell_state.dagger())\n",
+    "fidelity = (fusion(internal_state_1, internal_state_2) >> bell_state.dagger())\n",
     "\n",
-    "normalisation = (experiment >> Discard(2)).inflate(2).double().to_tensor(max_dim=3).to_quimb()^..."
+    "normalisation = (fusion(internal_state_1, internal_state_2) >> Discard(2)).inflate(2).eval().tensor.array"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "1.0000000000000002"
+       "(1.0000000000000002-1.83697019872103e-16j)"
       ]
      },
-     "execution_count": 20,
+     "execution_count": 21,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "f = fidelity.inflate(2).double().to_tensor(max_dim=3).to_quimb()^...\n",
+    "f = fidelity.inflate(2).eval().tensor.array\n",
     "f/normalisation"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 22,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -4727,7 +4749,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 23,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -4736,14 +4758,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 24,
    "metadata": {},
    "outputs": [],
    "source": [
     "inner_product_states = []\n",
     "inner_product_bell_states = []\n",
     "\n",
-    "result_bell = (bell_state.double().to_tensor().to_quimb()^...).data.flatten()\n",
+    "result_bell = bell_state.eval().tensor.array.flatten()\n",
     "result_bell = result_bell / np.linalg.norm(result_bell)\n",
     "\n",
     "for vector in unit_vectors:\n",
@@ -4751,8 +4773,8 @@
     "    experiment = bell_state @ bell_state >> Id(1) @ (encoding_layer >> fusion_channel\n",
     "                                                                                >> post_select) @ Id(1)\n",
     "\n",
-    "    f = (experiment >> bell_state.dagger()).inflate(2).double().to_tensor(max_dim=3).to_quimb()^...\n",
-    "    normalisation = (experiment >> Discard(2)).inflate(2).double().to_tensor(max_dim=3).to_quimb()^...\n",
+    "    f = (experiment >> bell_state.dagger()).inflate(2).eval().tensor.array\n",
+    "    normalisation = (experiment >> Discard(2)).inflate(2).eval().tensor.array\n",
     "\n",
     "    inner_product_states.append(np.inner(vector, internal_state_1))\n",
     "    inner_product_bell_states.append(f/normalisation)"
@@ -4760,9 +4782,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/matplotlib/cbook.py:1719: ComplexWarning: Casting complex values to real discards the imaginary part\n",
+      "  return math.isfinite(val)\n",
+      "/home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/matplotlib/cbook.py:1355: ComplexWarning: Casting complex values to real discards the imaginary part\n",
+      "  return np.asarray(x, float)\n"
+     ]
+    },
     {
      "data": {
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   {
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+   "execution_count": 26,
    "metadata": {},
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@@ -7437,7 +7469,7 @@
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-   "display_name": "Python 3",
+   "display_name": ".venv",
    "language": "python",
    "name": "python3"
   },
@@ -7451,7 +7483,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.12"
+   "version": "3.12.3"
   }
  },
  "nbformat": 4,
diff --git a/docs/notebooks/readme_example.ipynb b/docs/notebooks/readme_example.ipynb
index c05af05a..3dd8ef0d 100644
--- a/docs/notebooks/readme_example.ipynb
+++ b/docs/notebooks/readme_example.ipynb
@@ -8,12 +8,30 @@
     "# Optyx: A ZX-based Python library for networked quantum architectures"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "6613f207",
+   "metadata": {},
+   "source": [
+    "Optyx is an open-source Python library for designing, simulating, and optimizing networked, hybrid qubit–photon architectures. It offers a compositional, ZX/ZW-based string-diagram front end (built within the DisCoPy ecosystem) that lets you specify experiments mixing qubit registers with discrete-variable photonic modes, lossy channels, heralded measurements, and classical/quantum feedback. Optyx compiles these diagrams to optimized tensor networks and executes them with state-of-the-art contraction backends (Quimb + Cotengra), delivering substantial speedups on low-depth circuits. The result is an end-to-end workflow—from high-level syntax to numerics—well-suited for rapid prototyping of qubit-photon experiments."
+   ]
+  },
   {
    "cell_type": "markdown",
    "id": "b1adf8d9",
    "metadata": {},
    "source": [
-    "## Hong-Ou-Mandel effect"
+    "## Basic Optyx syntax: the Hong-Ou-Mandel effect"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "89511ebf",
+   "metadata": {},
+   "source": [
+    "We will present the basics of Optyx with a simple example from linear optics. \n",
+    "\n",
+    "The Hong–Ou–Mandel (HOM) effect is a two-photon interference phenomenon where indistinguishable photons entering a 50:50 beamsplitter “bunch” and exit together through the same output register. When their temporal, spectral, polarization, and spatial modes overlap perfectly, destructive interference suppresses the outcome with one photon in each output. This effect is a standard benchmark for photon indistinguishability in photonic experiments."
    ]
   },
   {
@@ -21,7 +39,11 @@
    "id": "6f3dab5d",
    "metadata": {},
    "source": [
-    "### Experiment definition"
+    "### Experiment definition\n",
+    "\n",
+    "Circuits in Optyx are diagrams made of typed wires (qubits, photonic modes, classical bits) and generators (gates, sources, optics, measurements). You build them by connecting outputs to inputs (sequence) and placing blocks side-by-side (parallel); types must match at every connection. Generators carry parameters and labels; measurements produce classical wires you can route into later blocks. A circuit is just the set of generators plus the wiring between their ports.\n",
+    "\n",
+    "Let us build a diagram to study the HOM effect."
    ]
   },
   {
@@ -41,7 +63,7 @@
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@@ -396,7 +418,7 @@
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@@ -958,7 +980,7 @@
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@@ -976,6 +998,7 @@
     "from optyx.photonic import Create\n",
     "\n",
     "# diagram composition with monoidal syntax\n",
+    "# create two single-photon states and send them to a beam-splitter\n",
     "hong_ou_mandel = (\n",
     "    Create(1) @ Create(1) >>\n",
     "    beam_splitter\n",
@@ -984,6 +1007,14 @@
     "hong_ou_mandel.draw()"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "dbdb1109",
+   "metadata": {},
+   "source": [
+    "The result of this experiment should be a zero probability of having single photons in two output modes:"
+   ]
+  },
   {
    "cell_type": "markdown",
    "id": "a869643c",
@@ -997,7 +1028,9 @@
    "id": "94bfc225",
    "metadata": {},
    "source": [
-    "### Diagram evaluation"
+    "### Diagram evaluation\n",
+    "\n",
+    "Call `diagram.eval()` to evaluate a diagram (Quimb backend by default). It returns an evaluated object; use `.tensor.array` to extract the numeric tensor/array, or `.prob_dist()` to get an outcome distribution. You can chain it inline, e.g., `(...).eval().tensor.array`."
    ]
   },
   {
@@ -1051,12 +1084,24 @@
    "id": "b1f34bd2",
    "metadata": {},
    "source": [
-    "## Qubit teleportation - function syntax and backends"
+    "## Function syntax and backends: qubit teleportation\n",
+    "\n",
+    "Quantum teleportation transfers an unknown qubit state from sender (Alice) to receiver (Bob) using shared entanglement and two classical bits. Alice performs a joint Bell-state measurement on the unknown qubit and her half of an entangled pair, which projects Bob’s distant qubit into a state related to the original. She sends the two-bit outcome to Bob, who applies a corresponding Pauli correction (I, X, Z, or XZ) to recover the exact state. No information travels faster than light and the original is destroyed by measurement, so the state is relocated—not copied."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "668cadf7",
+   "metadata": {},
+   "source": [
+    "https://en.wikipedia.org/wiki/Quantum_teleportation#/media/File:Quantum_teleportation_circuit.svg :\n",
+    "\n",
+    "<img src=\"teleport.svg\" alt=\"Teleportation Protocol\" width=\"800\" style=\"max-width:100%;\">"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 5,
    "id": "47e64a7d",
    "metadata": {},
    "outputs": [],
@@ -1066,7 +1111,8 @@
     "\n",
     "from optyx import Channel\n",
     "from optyx.qubits import Z, X, H, Measure, Scalar, qubit, bit\n",
-    "from optyx.classical import BitControlledGate"
+    "from optyx.classical import BitControlledGate\n",
+    "from optyx.core import zx, diagram"
    ]
   },
   {
@@ -1074,12 +1120,15 @@
    "id": "748d7e3d",
    "metadata": {},
    "source": [
-    "### Define the protocol"
+    "### Define the protocol\n",
+    "\n",
+    "\n",
+    "Instead of wiring generators together with sequential (`>>`) and parallel (`@`) composition (which we call the monoidal syntax), you can treat each generator as a **function on its domain wires**. You **label the wires** and then **call generators with those labels**, which lets you feed specific wires directly into the right box without inserting explicit `Swap`s to reorder them. This makes complex diagrams easier to read and write, and mirrors the style used in **Guppy**; it’s an alternative surface syntax that’s equivalent to the usual `>>`/`@` composition.\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 6,
    "id": "8fa3a149",
    "metadata": {},
    "outputs": [],
@@ -1096,23 +1145,32 @@
     "  return c, X(2, 1)(d, b)"
    ]
   },
-  {
-   "cell_type": "markdown",
-   "id": "668cadf7",
-   "metadata": {},
-   "source": [
-    "<img src=\"teleport.svg\" alt=\"Teleportation Protocol\" width=\"800\" style=\"max-width:100%;\">\n"
-   ]
-  },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 7,
    "id": "8c0301af",
    "metadata": {},
    "outputs": [],
    "source": [
     "bell = Scalar(0.5 ** 0.5) @ Z(0, 2)\n",
     "\n",
+    "controlled_X = Channel(\n",
+    "  \"Controlled-X\",\n",
+    "  zx.X(2, 1) @ diagram.Scalar(2 ** 0.5),\n",
+    "  dom = bit @ qubit,\n",
+    "  cod = qubit\n",
+    ")\n",
+    "\n",
+    "controlled_Z = Channel(\n",
+    "  \"Controlled-Z\",\n",
+    "  (\n",
+    "    zx.H @ diagram.bit >>\n",
+    "    zx.Z(2, 1) @ diagram.Scalar(2 ** 0.5)\n",
+    "  ),\n",
+    "  dom = bit @ qubit,\n",
+    "  cod = qubit\n",
+    ")\n",
+    "\n",
     "@Channel.from_callable(\n",
     "  dom=qubit, cod=qubit\n",
     ")\n",
@@ -1121,95 +1179,1755 @@
     "  cc, aa = cnot(c, a)\n",
     "  c_ = Measure(1)(H()(cc))\n",
     "  a_ = Measure(1)(aa)\n",
-    "  bb = BitControlledGate(X(1, 1, 0.5))(a_, b)\n",
-    "  return BitControlledGate(Z(1, 1, 0.5))(c_, bb)"
+    "  bb = controlled_X(a_, b)\n",
+    "  return controlled_Z(c_, bb)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "174c4713",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# function syntax avoids explicit swaps and identity wires\n",
+    "# this is the equivalent monoidal syntax:\n",
+    "\n",
+    "teleportation_monoidal_syntax = (\n",
+    "    qubit @ bell >>\n",
+    "    cnot @ qubit >>\n",
+    "    H() @ qubit ** 2 >>\n",
+    "    Measure(1) @ Measure(1) @ qubit >>\n",
+    "    bit @ controlled_X >>\n",
+    "    controlled_Z\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "7fcce92a",
+   "metadata": {},
+   "source": [
+    "### Verify the protocol"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "bb29783a",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "True"
+      ]
+     },
+     "execution_count": 9,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "from optyx.qubits import Id\n",
+    "\n",
+    "# both implementations are equivalent\n",
+    "np.allclose(\n",
+    "    teleportation.eval().tensor.array,\n",
+    "    teleportation_monoidal_syntax.eval().tensor.array,\n",
+    "    Id(1).double().to_tensor().eval().array\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "a24d31ac",
+   "metadata": {},
+   "source": [
+    "Optyx evaluates diagrams via pluggable backends. By default it compiles a diagram to a tensor network, optimizes a contraction path with **cotengra**, and contracts it with **quimb** (CPU/GPU; dense/sparse). For linear-optical circuits, Optyx also exposes a **Perceval** backend using permanent-based algorithms, and a tensor-network-based **DisCoPy** backend; you can choose among these depending on the task.\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "ddf6db65",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "True"
+      ]
+     },
+     "execution_count": 10,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# backends (Perceval, Discopy, Quimb)\n",
+    "\n",
+    "from optyx.core.backends import (\n",
+    "    DiscopyBackend,\n",
+    "    QuimbBackend\n",
+    ")\n",
+    "\n",
+    "np.allclose(\n",
+    "    teleportation.eval(DiscopyBackend()).tensor.array,\n",
+    "    teleportation.eval(QuimbBackend()).tensor.array\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "984a7c1f",
+   "metadata": {},
+   "source": [
+    "### Verify with PyZX"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "80e3231d",
+   "metadata": {},
+   "source": [
+    "We can obtain the underlying CPTP map by doubling (CP-construction) an Optyx diagram:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "226da509",
+   "metadata": {},
+   "outputs": [
+    {
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+       "</svg>\n"
+      ],
+      "text/plain": [
+       "<Figure size 800x800 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "teleportation_monoidal_syntax.double().draw(figsize=(8, 8))"
    ]
   },
   {
-   "cell_type": "code",
-   "execution_count": 11,
-   "id": "174c4713",
+   "cell_type": "markdown",
+   "id": "a405228c",
    "metadata": {},
-   "outputs": [],
    "source": [
-    "# function syntax avoids explicit swaps and identity wires\n",
-    "\n",
-    "teleportation_monoidal_syntax = (\n",
-    "    qubit @ bell >>\n",
-    "    cnot @ qubit >>\n",
-    "    H() @ qubit ** 2 >>\n",
-    "    Measure(1) @ Measure(1) @ qubit >>\n",
-    "    bit @ BitControlledGate(X(1, 1, 0.5)) >>\n",
-    "    BitControlledGate(Z(1, 1, 0.5))\n",
-    ")"
+    "This way we can use PyZX and its optimisation/simplifications functionalities:"
    ]
   },
   {
-   "cell_type": "markdown",
-   "id": "7fcce92a",
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "b3db33f9",
    "metadata": {},
+   "outputs": [],
    "source": [
-    "### Verify the protocol"
+    "import pyzx\n",
+    "pyzx_graph = teleportation_monoidal_syntax.double().to_pyzx()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
-   "id": "bb29783a",
+   "execution_count": 13,
+   "id": "9574fa05",
    "metadata": {},
    "outputs": [
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+       "<script type=\"module\">\n",
+       "var d3;\n",
+       "if (d3 == null) { d3 = await import(\"https://cdn.skypack.dev/d3@5\"); }\n",
+       "// PyZX - Python library for quantum circuit rewriting \n",
+       "//        and optimisation using the ZX-calculus\n",
+       "// Copyright (C) 2018 - Aleks Kissinger and John van de Wetering\n",
+       "\n",
+       "// Licensed under the Apache License, Version 2.0 (the \"License\");\n",
+       "// you may not use this file except in compliance with the License.\n",
+       "// You may obtain a copy of the License at\n",
+       "\n",
+       "//    http://www.apache.org/licenses/LICENSE-2.0\n",
+       "\n",
+       "// Unless required by applicable law or agreed to in writing, software\n",
+       "// distributed under the License is distributed on an \"AS IS\" BASIS,\n",
+       "// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
+       "// See the License for the specific language governing permissions and\n",
+       "// limitations under the License.\n",
+       "\n",
+       "// styling functions\n",
+       "function nodeColor(t) {\n",
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+       "function nodeStyle(selected) {\n",
+       "    return selected ? \"stroke-width: 2px; stroke: #00f\" : \"stroke-width: 1.5px\";\n",
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+       "\n",
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+       "        .attr(\"class\", \"selectable\");\n",
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+       "\n",
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+       "\n",
+       "    function update_hboxes() {\n",
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+       "            var pos = {};\n",
+       "            hbox.attr(\"transform\", function(d) {\n",
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+       "\n",
+       "                offset = 0.25 * scale;\n",
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+       "                    y = (y/sz) - offset;\n",
+       "\n",
+       "                    while (pos[[x,y]]) {\n",
+       "                        x += offset;\n",
+       "                    }\n",
+       "                    d.x = x;\n",
+       "                    d.y = y;\n",
+       "                    pos[[x,y]] = true;\n",
+       "                }\n",
+       "\n",
+       "                return \"translate(\"+d.x+\",\"+d.y+\")\";\n",
+       "            });\n",
+       "        }\n",
+       "    }\n",
+       "\n",
+       "    update_hboxes();\n",
+       "\n",
+       "    link.attr(\"x1\", function(d) { return d.source.x; })\n",
+       "        .attr(\"y1\", function(d) { return d.source.y; })\n",
+       "        .attr(\"x2\", function(d) { return d.target.x; })\n",
+       "        .attr(\"y2\", function(d) { return d.target.y; });\n",
+       "\n",
+       "    // EVENTS FOR DRAGGING AND SELECTION\n",
+       "\n",
+       "    node.on(\"mousedown\", function(d) {\n",
+       "        if (shiftKey) {\n",
+       "            d3.select(this).selectAll(\".selectable\").attr(\"style\", nodeStyle(d.selected = !d.selected));\n",
+       "            d3.event.stopImmediatePropagation();\n",
+       "        } else if (!d.selected) {\n",
+       "            node.selectAll(\".selectable\").attr(\"style\", function(p) { return nodeStyle(p.selected = d === p); });\n",
+       "        }\n",
+       "    })\n",
+       "        .call(d3.drag().on(\"drag\", function(d) {\n",
+       "            var dx = d3.event.dx;\n",
+       "            var dy = d3.event.dy;\n",
+       "            // node.filter(function(d) { return d.selected; })\n",
+       "            //     .attr(\"cx\", function(d) { return d.x += dx; })\n",
+       "            //     .attr(\"cy\", function(d) { return d.y += dy; });\n",
+       "            node.filter(function(d) { return d.selected; })\n",
+       "                .attr(\"transform\", function(d) {\n",
+       "                    d.x += dx;\n",
+       "                    d.y += dy;\n",
+       "                    return \"translate(\" + d.x + \",\" + d.y +\")\";\n",
+       "                });\n",
+       "\n",
+       "            update_hboxes();\n",
+       "\n",
+       "            link.filter(function(d) { return d.source.selected ||\n",
+       "                    (auto_hbox && d.source.t == 3); })\n",
+       "                .attr(\"x1\", function(d) { return d.source.x; })\n",
+       "                .attr(\"y1\", function(d) { return d.source.y; });\n",
+       "\n",
+       "            link.filter(function(d) { return d.target.selected ||\n",
+       "                    (auto_hbox && d.target.t == 3); })\n",
+       "                .attr(\"x2\", function(d) { return d.target.x; })\n",
+       "                .attr(\"y2\", function(d) { return d.target.y; });\n",
+       "\n",
+       "            // text.filter(function(d) { return d.selected; })\n",
+       "            //     .attr(\"x\", function(d) { return d.x; })\n",
+       "            //     .attr(\"y\", function(d) { return d.y + 0.7 * node_size + 14; });\n",
+       "        }));\n",
+       "\n",
+       "    brush.call(d3.brush().keyModifiers(false)\n",
+       "        .extent([[0, 0], [width, height]])\n",
+       "        .on(\"start\", function() {\n",
+       "            if (d3.event.sourceEvent.type !== \"end\") {\n",
+       "                node.selectAll(\".selectable\").attr(\"style\", function(d) {\n",
+       "                    return nodeStyle(\n",
+       "                        d.selected = d.previouslySelected = shiftKey &&\n",
+       "                        d.selected);\n",
+       "                });\n",
+       "            }\n",
+       "        })\n",
+       "        .on(\"brush\", function() {\n",
+       "            if (d3.event.sourceEvent.type !== \"end\") {\n",
+       "                var selection = d3.event.selection;\n",
+       "                node.selectAll(\".selectable\").attr(\"style\", function(d) {\n",
+       "                    return nodeStyle(d.selected = d.previouslySelected ^\n",
+       "                        (selection != null\n",
+       "                            && selection[0][0] <= d.x && d.x < selection[1][0]\n",
+       "                            && selection[0][1] <= d.y && d.y < selection[1][1]));\n",
+       "                });\n",
+       "            }\n",
+       "        })\n",
+       "        .on(\"end\", function() {\n",
+       "            if (d3.event.selection != null) {\n",
+       "                d3.select(this).call(d3.event.target.move, null);\n",
+       "            }\n",
+       "        }));\n",
+       "}\n",
+       "\n",
+       "\n",
+       "showGraph('#graph-output-I4zCJPnC',\n",
+       "  JSON.parse('{\"nodes\": [{\"name\": \"0\", \"x\": 50, \"y\": 100, \"t\": 0, \"phase\": \"\", \"ground\": false, \"vdata\": []}, {\"name\": \"1\", \"x\": 50, \"y\": 150, \"t\": 0, \"phase\": \"\", \"ground\": false, \"vdata\": []}, {\"name\": \"16\", \"x\": 200, \"y\": 100, \"t\": 0, \"phase\": \"\", \"ground\": false, \"vdata\": []}, {\"name\": \"17\", \"x\": 200, \"y\": 150, \"t\": 0, \"phase\": \"\", \"ground\": false, \"vdata\": []}, {\"name\": \"18\", \"x\": 100, \"y\": 100, \"t\": 1, \"phase\": \"\", \"ground\": false, \"vdata\": []}, {\"name\": \"19\", \"x\": 100, \"y\": 150, \"t\": 1, \"phase\": \"\", \"ground\": false, \"vdata\": []}, {\"name\": \"20\", \"x\": 150, \"y\": 100, \"t\": 1, \"phase\": \"\", \"ground\": false, \"vdata\": []}, {\"name\": \"21\", \"x\": 150, \"y\": 150, \"t\": 1, \"phase\": \"\", \"ground\": false, \"vdata\": []}], \"links\": [{\"source\": \"0\", \"target\": \"18\", \"t\": 2}, {\"source\": \"1\", \"target\": \"19\", \"t\": 2}, {\"source\": \"16\", \"target\": \"20\", \"t\": 1}, {\"source\": \"17\", \"target\": \"21\", \"t\": 1}, {\"source\": \"18\", \"target\": \"20\", \"t\": 2}, {\"source\": \"19\", \"target\": \"21\", \"t\": 2}]}'), 250, 200, 50,\n",
+       "  10.0, false, false, '');\n",
+       "</script>"
+      ],
       "text/plain": [
-       "True"
+       "<IPython.core.display.HTML object>"
       ]
      },
-     "execution_count": 12,
      "metadata": {},
-     "output_type": "execute_result"
+     "output_type": "display_data"
     }
    ],
    "source": [
-    "import numpy as np\n",
-    "from optyx.qubits import Id\n",
-    "\n",
-    "# both implementations are equivalent\n",
-    "np.allclose(\n",
-    "    teleportation.eval().tensor.array,\n",
-    "    teleportation_monoidal_syntax.eval().tensor.array,\n",
-    "    Id(1).double().to_tensor().eval().array\n",
-    ")"
+    "pyzx.full_reduce(pyzx_graph, quiet=True)\n",
+    "pyzx_graph.normalize()\n",
+    "pyzx.draw(pyzx_graph)"
    ]
   },
   {
-   "cell_type": "code",
-   "execution_count": 14,
-   "id": "25af2db6",
+   "cell_type": "markdown",
+   "id": "8ae0bfcb",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "True"
-      ]
-     },
-     "execution_count": 14,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
    "source": [
-    "# backends (Perceval, Discopy, Quimb)\n",
-    "\n",
-    "from optyx.core.backends import (\n",
-    "    DiscopyBackend,\n",
-    "    QuimbBackend\n",
-    ")\n",
-    "\n",
-    "np.allclose(\n",
-    "    teleportation.eval(DiscopyBackend()).tensor.array,\n",
-    "    teleportation.eval(QuimbBackend()).tensor.array\n",
-    ")"
+    "The diagram is a double identity diagram."
    ]
   },
   {
@@ -1217,7 +2935,15 @@
    "id": "36241fe2",
    "metadata": {},
    "source": [
-    "## Fusion teleportation"
+    "## Approximate contraction and photon loss: fusion teleportation"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "8959a31b",
+   "metadata": {},
+   "source": [
+    "Teleportation with **fusion measurements** uses a Bell pair of dual-rail qubits as the channel: Alice fuses the input with her half using a Type-II fusion, reads the classical outcomes, and Bob applies the corresponding correction. In the **success** branch, the overall map is the **identity** on the teleported qubit up to a known Pauli byproduct, which Bob removes with a conditioned \\(X\\) correction. In the **failure** branch, the input is effectively measured and the opposite state is prepared at the output. For the standard Type-II scheme this yields identity with probability \\(1/2\\), and failure otherwise; the paper’s diagrams show both branches explicitly and how the correction restores the state.\n"
    ]
   },
   {
@@ -1225,7 +2951,7 @@
    "id": "7043700a",
    "metadata": {},
    "source": [
-    "Ursin, R., Jennewein, T., Aspelmeyer, M. et al. Quantum teleportation across the Danube. Nature 430, 849 (2004). https://doi.org/10.1038/430849a\n",
+    "Ursin, R., Jennewein, T., Aspelmeyer, M. et al. Quantum teleportation across the Danube. Nature 430, 849 (2004). https://doi.org/10.1038/430849a :\n",
     "\n",
     "<img src=\"./teleportation_danube.png\" alt=\"Fusion teleportation across the Danube\" width=\"1150px\">"
    ]
@@ -1268,7 +2994,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 14,
    "id": "c557c4b8",
    "metadata": {},
    "outputs": [],
@@ -1283,7 +3009,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 15,
    "id": "a1764edb",
    "metadata": {},
    "outputs": [],
@@ -1305,15 +3031,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "e83e3857",
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 16,
    "id": "7bb5e46f",
    "metadata": {},
    "outputs": [],
@@ -1334,7 +3052,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 17,
    "id": "4b5ee771",
    "metadata": {},
    "outputs": [
@@ -1349,7 +3067,7 @@
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        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2025-09-23T09:43:12.181076</dc:date>\n",
+       "    <dc:date>2025-10-06T13:32:08.799221</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
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    "id": "c19354d7",
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        "True"
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    "id": "6e6b4039",
    "metadata": {},
    "source": [
-    "### Approximate contraction with Quimb and Cotengra"
+    "### Approximate contraction with Quimb and Cotengra\n",
+    "\n",
+    "Approximate contraction in Optyx uses cotengra to plan a low-cost contraction with memory-aware slicing, then executes it in quimb with optional compression of intermediates. Instead of multiplying tensors exactly, large merges are factorized and truncated (e.g., SVD) so only the dominant singular components are kept; you trade speed and memory for a controlled approximation error. Tightening the truncation tolerance (or increasing the allowed bond size) yields higher accuracy at higher cost, while more aggressive truncation/slicing gives faster, lower-memory contractions with small, quantifiable loss in fidelity."
    ]
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   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 19,
    "id": "51acb733",
    "metadata": {},
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-     "execution_count": 22,
+     "execution_count": 20,
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    "id": "351608f0",
    "metadata": {},
    "source": [
-    "### Photon loss and channel fidelity"
+    "### Photon loss and channel fidelity\n",
+    "\n",
+    "Photon loss is when a photon that should arrive simply doesn’t. In Optyx, you model this by placing a dedicated loss generator exactly where the loss occurs; its single parameter is the photon survival probability. Photon loss is the primary failure mode for photonic qubits. In photonic computing it breaks multi-photon interference and reduces the success of fusion/measurement steps. That’s why if we want to study architectures, thresholds, and mitigation (repeaters, multiplexing, loss-tolerant encodings), we need to be able to model photon loss accurately."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 21,
    "id": "ac439493",
    "metadata": {},
    "outputs": [],
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     "        # apply photon loss to all modes here:\n",
     "        #-----------------------------------\n",
     "        dr_input_1_loss, dr_input_2_loss, b_loss, c_loss, d_loss, e_loss = (\n",
-    "            PhotonLoss(p)(dr_input_1), PhotonLoss(p)(dr_input_2), PhotonLoss(p)(b), PhotonLoss(p)(c), PhotonLoss(p)(d), PhotonLoss(p)(e)\n",
+    "            PhotonLoss(p)(dr_input_1), PhotonLoss(p)(dr_input_2),\n",
+    "            PhotonLoss(p)(b), PhotonLoss(p)(c),\n",
+    "            PhotonLoss(p)(d), PhotonLoss(p)(e)\n",
     "        )\n",
     "        #-----------------------------------\n",
     "        s, k = FusionTypeII()(dr_input_1_loss, dr_input_2_loss, b_loss, c_loss)\n",
@@ -4452,7 +6260,7 @@
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    "cell_type": "code",
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+   "execution_count": 22,
    "id": "ccefb368",
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    "outputs": [],
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+   "execution_count": 23,
    "id": "7e1a2957",
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    "id": "07c143a0",
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    "source": [
-    "## Distributed entanglement generation"
+    "## Photon distinguishability: distributed entanglement generation\n",
+    "\n",
+    "Distributed entanglement generation links two distant quantum nodes (A and B) by creating a shared entangled pair. Each node emits a photon that travels to a shared site, where the photons interfere and a joint (Bell-state) detection flags success — instantly projecting A and B into an entangled state. Because attempts often fail due to loss, the process is repeated-until-success with timing. This is the core primitive behind quantum networks and repeaters, enabling long-distance QKD, teleportation, and multi-node protocols."
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@@ -5678,9 +7488,9 @@
    "id": "9fa0ec11",
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-    "![Distributed entanglement](./distributed_entanglement.png \"An example of distributed entanglement generation\")\n",
+    "Main, D., Drmota, P., Nadlinger, D.P. et al. Distributed quantum computing across an optical network link. Nature 638, 383–388 (2025). https://doi.org/10.1038/s41586-024-08404-x~ :\n",
     "\n",
-    "Main, D., Drmota, P., Nadlinger, D.P. et al. Distributed quantum computing across an optical network link. Nature 638, 383–388 (2025). https://doi.org/10.1038/s41586-024-08404-x~\n",
+    "![Distributed entanglement](./distributed_entanglement.png \"An example of distributed entanglement generation\")\n",
     "\n"
    ]
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    "id": "eb9f34b3",
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    "source": [
-    "#### Define a set of internal states with varying degrees of distinguishability"
+    "#### Define a set of internal states with varying degrees of distinguishability\n",
+    "\n",
+    "We test how partial photon distinguishability affects a heralded entanglement link. The experiment uses the overlap between two internal two-mode states (`rotated_unit_vectors`), encodes them into dual-rail photons (`dual_rail_encoding`), and performs a Type-II fusion with postselection (`FusionTypeII() >> post_select`). We then project onto the target Bell state (`... >> bell_state.dagger()`) to read off the heralded-state quality, and use a discard step (`... >> Discard(2)`) to extract the success probability. Plotting these versus the state overlap reveals how distinguishability simultaneously degrades fidelity and lowers the entanglement generation rate.\n"
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   {
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-   "execution_count": 27,
+   "execution_count": 25,
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-       "\" clip-path=\"url(#p428f56623c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
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-       "\" clip-path=\"url(#p428f56623c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
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-       "\" clip-path=\"url(#p428f56623c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p96966be80c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
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-       "       <use xlink:href=\"#m08c0a91235\" x=\"302.812216\" y=\"244.078125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4b96b83748\" x=\"302.812216\" y=\"244.078125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
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-       "\" clip-path=\"url(#p428f56623c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p96966be80c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
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-       "       <use xlink:href=\"#m08c0a91235\" x=\"363.684943\" y=\"244.078125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4b96b83748\" x=\"363.684943\" y=\"244.078125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
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-       "\" clip-path=\"url(#p428f56623c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p96966be80c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_14\">\n",
        "      <defs>\n",
-       "       <path id=\"mc8af0650e2\" d=\"M 0 0 \n",
+       "       <path id=\"m71f9ddfde2\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
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        "      <g>\n",
-       "       <use xlink:href=\"#mc8af0650e2\" x=\"44.103125\" y=\"233.998125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
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-       "\" clip-path=\"url(#p428f56623c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p96966be80c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_16\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mc8af0650e2\" x=\"44.103125\" y=\"193.678125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m71f9ddfde2\" x=\"44.103125\" y=\"193.678125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
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-       "\" clip-path=\"url(#p428f56623c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p96966be80c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
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-       "       <use xlink:href=\"#mc8af0650e2\" x=\"44.103125\" y=\"153.358125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
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-       "\" clip-path=\"url(#p428f56623c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
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-       "\" clip-path=\"url(#p428f56623c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p96966be80c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
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-       "       <use xlink:href=\"#mc8af0650e2\" x=\"44.103125\" y=\"72.718125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
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@@ -8132,11 +9944,11 @@
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-       "\" clip-path=\"url(#p428f56623c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p96966be80c)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n",
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-       "       <use xlink:href=\"#mc8af0650e2\" x=\"44.103125\" y=\"32.398125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
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@@ -8420,9 +10232,9 @@
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        "L 59.321307 233.998125 \n",
-       "\" clip-path=\"url(#p428f56623c)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p96966be80c)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    <defs>\n",
-       "     <path id=\"md08248b788\" d=\"M 0 3 \n",
+       "     <path id=\"m8ac8d7bd73\" d=\"M 0 3 \n",
        "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
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        "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
@@ -8434,22 +10246,22 @@
        "z\n",
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        "    </defs>\n",
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-       "     <use xlink:href=\"#md08248b788\" x=\"59.321307\" y=\"233.998125\" style=\"fill: #1f77b4; stroke: #1f77b4\"/>\n",
+       "    <g clip-path=\"url(#p96966be80c)\">\n",
+       "     <use xlink:href=\"#m8ac8d7bd73\" x=\"363.684943\" y=\"32.398125\" style=\"fill: #1f77b4; stroke: #1f77b4\"/>\n",
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+       "     <use xlink:href=\"#m8ac8d7bd73\" x=\"221.252524\" y=\"176.933606\" style=\"fill: #1f77b4; stroke: #1f77b4\"/>\n",
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+       "     <use xlink:href=\"#m8ac8d7bd73\" x=\"93.399222\" y=\"231.470859\" style=\"fill: #1f77b4; stroke: #1f77b4\"/>\n",
+       "     <use xlink:href=\"#m8ac8d7bd73\" x=\"59.321307\" y=\"233.998125\" style=\"fill: #1f77b4; stroke: #1f77b4\"/>\n",
        "    </g>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
@@ -8691,7 +10503,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p428f56623c\">\n",
+       "  <clipPath id=\"p96966be80c\">\n",
        "   <rect x=\"44.103125\" y=\"22.318125\" width=\"334.8\" height=\"221.76\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -8732,12 +10544,12 @@
    "source": [
     "### Graphix\n",
     "\n",
-    "Open graphs only for now (graph + measurements; desire to implement deterministically - no corrections)"
+    "Open graphs supported only for now (graph + measurements; desire to implement deterministically - no corrections)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 28,
    "id": "79f358ae",
    "metadata": {},
    "outputs": [
@@ -8759,7 +10571,7 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2025-09-23T09:47:43.571420</dc:date>\n",
+       "    <dc:date>2025-10-06T13:34:45.798186</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -8793,35 +10605,35 @@
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+       "\" clip-path=\"url(#pb710741082)\" style=\"fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000; stroke-opacity: 0.7\"/>\n",
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+       "\" clip-path=\"url(#pb710741082)\" style=\"fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000; stroke-opacity: 0.7\"/>\n",
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+       "\" clip-path=\"url(#pb710741082)\" style=\"fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000; stroke-opacity: 0.7\"/>\n",
        "   </g>\n",
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        "Q 106.042743 90.36 170.400086 90.36 \n",
-       "\" clip-path=\"url(#p1fd742a0aa)\" style=\"fill: none; stroke: #2ca02c; stroke-linecap: round\"/>\n",
+       "\" clip-path=\"url(#pb710741082)\" style=\"fill: none; stroke: #2ca02c; stroke-linecap: round\"/>\n",
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        "L 166.400086 92.36 \n",
-       "\" clip-path=\"url(#p1fd742a0aa)\" style=\"fill: none; stroke: #2ca02c; stroke-linecap: round\"/>\n",
+       "\" clip-path=\"url(#pb710741082)\" style=\"fill: none; stroke: #2ca02c; stroke-linecap: round\"/>\n",
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diff --git a/docs/notebooks/readme_example.md b/docs/notebooks/readme_example.md
new file mode 100644
index 00000000..511bbd3d
--- /dev/null
+++ b/docs/notebooks/readme_example.md
@@ -0,0 +1,1163 @@
+# Optyx: A ZX-based Python library for networked quantum architectures
+
+Optyx is an open-source Python library for designing, simulating, and optimizing networked, hybrid qubit–photon architectures. It offers a compositional, ZX/ZW-based string-diagram front end (built within the DisCoPy ecosystem) that lets you specify experiments mixing qubit registers with discrete-variable photonic modes, lossy channels, heralded measurements, and classical/quantum feedback. Optyx compiles these diagrams to optimized tensor networks and executes them with state-of-the-art contraction backends (Quimb + Cotengra), delivering substantial speedups on low-depth circuits. The result is an end-to-end workflow—from high-level syntax to numerics—well-suited for rapid prototyping of qubit-photon experiments.
+
+## Basic Optyx syntax: the Hong-Ou-Mandel effect
+
+We will present the basics of Optyx with a simple example from linear optics. 
+
+The Hong–Ou–Mandel (HOM) effect is a two-photon interference phenomenon where indistinguishable photons entering a 50:50 beamsplitter “bunch” and exit together through the same output register. When their temporal, spectral, polarization, and spatial modes overlap perfectly, destructive interference suppresses the outcome with one photon in each output. This effect is a standard benchmark for photon indistinguishability in photonic experiments.
+
+### Experiment definition
+
+Circuits in Optyx are diagrams made of typed wires (qubits, photonic modes, classical bits) and generators (gates, sources, optics, measurements). You build them by connecting outputs to inputs (sequence) and placing blocks side-by-side (parallel); types must match at every connection. Generators carry parameters and labels; measurements produce classical wires you can route into later blocks. A circuit is just the set of generators plus the wiring between their ports.
+
+Let us build a diagram to study the HOM effect.
+
+
+```python
+from optyx.photonic import BBS
+
+# diagram generators:
+# beam-splitter
+beam_splitter = BBS(0)
+beam_splitter.draw()
+```
+
+
+    
+![svg](readme_example_files/readme_example_5_0.svg)
+    
+
+
+
+```python
+from optyx.photonic import Create
+
+# diagram composition with monoidal syntax
+# create two single-photon states and send them to a beam-splitter
+hong_ou_mandel = (
+    Create(1) @ Create(1) >>
+    beam_splitter
+)
+
+hong_ou_mandel.draw()
+```
+
+
+    
+![svg](readme_example_files/readme_example_6_0.svg)
+    
+
+
+The result of this experiment should be a zero probability of having single photons in two output modes:
+
+ ![HOM](./hom.png "Hong-Ou-Mandel Effect")
+
+### Diagram evaluation
+
+Call `diagram.eval()` to evaluate a diagram (Quimb backend by default). It returns an evaluated object; use `.tensor.array` to extract the numeric tensor/array, or `.prob_dist()` to get an outcome distribution. You can chain it inline, e.g., `(...).eval().tensor.array`.
+
+
+```python
+# an amplitude (raw result of tensor contraction)
+from optyx.classical import Select
+(
+    hong_ou_mandel >> Select(1, 1)
+).eval().tensor.array
+```
+
+
+
+
+    array(-0.+0.j)
+
+
+
+
+```python
+hong_ou_mandel.eval().prob_dist()
+```
+
+
+
+
+    {(0, 2): 0.5, (1, 1): 4.9303806576313227e-32, (2, 0): 0.5}
+
+
+
+## Function syntax and backends: qubit teleportation
+
+Quantum teleportation transfers an unknown qubit state from sender (Alice) to receiver (Bob) using shared entanglement and two classical bits. Alice performs a joint Bell-state measurement on the unknown qubit and her half of an entangled pair, which projects Bob’s distant qubit into a state related to the original. She sends the two-bit outcome to Bob, who applies a corresponding Pauli correction (I, X, Z, or XZ) to recover the exact state. No information travels faster than light and the original is destroyed by measurement, so the state is relocated—not copied.
+
+https://en.wikipedia.org/wiki/Quantum_teleportation#/media/File:Quantum_teleportation_circuit.svg :
+
+<img src="teleport.svg" alt="Teleportation Protocol" width="800" style="max-width:100%;">
+
+
+```python
+from optyx import qubit, bit
+from optyx.qubits import Scalar
+
+from optyx import Channel
+from optyx.qubits import Z, X, H, Measure, Scalar, qubit, bit
+from optyx.classical import BitControlledGate
+from optyx.core import zx, diagram
+```
+
+### Define the protocol
+
+
+Instead of wiring generators together with sequential (`>>`) and parallel (`@`) composition (which we call the monoidal syntax), you can treat each generator as a **function on its domain wires**. You **label the wires** and then **call generators with those labels**, which lets you feed specific wires directly into the right box without inserting explicit `Swap`s to reorder them. This makes complex diagrams easier to read and write, and mirrors the style used in **Guppy**; it’s an alternative surface syntax that’s equivalent to the usual `>>`/`@` composition.
+
+
+
+```python
+# function syntax
+# CNOT from ZX generators
+
+@Channel.from_callable(
+  dom=qubit @ qubit, cod=qubit @ qubit
+)
+def cnot(a, b):
+  c, d = Z(1, 2)(a)
+  Scalar(2 ** 0.5)()
+  return c, X(2, 1)(d, b)
+```
+
+
+```python
+bell = Scalar(0.5 ** 0.5) @ Z(0, 2)
+
+controlled_X = Channel(
+  "Controlled-X",
+  zx.X(2, 1) @ diagram.Scalar(2 ** 0.5),
+  dom = bit @ qubit,
+  cod = qubit
+)
+
+controlled_Z = Channel(
+  "Controlled-Z",
+  (
+    zx.H @ diagram.bit >>
+    zx.Z(2, 1) @ diagram.Scalar(2 ** 0.5)
+  ),
+  dom = bit @ qubit,
+  cod = qubit
+)
+
+@Channel.from_callable(
+  dom=qubit, cod=qubit
+)
+def teleportation(c):
+  a, b = bell()
+  cc, aa = cnot(c, a)
+  c_ = Measure(1)(H()(cc))
+  a_ = Measure(1)(aa)
+  bb = controlled_X(a_, b)
+  return controlled_Z(c_, bb)
+```
+
+
+```python
+# function syntax avoids explicit swaps and identity wires
+# this is the equivalent monoidal syntax:
+
+teleportation_monoidal_syntax = (
+    qubit @ bell >>
+    cnot @ qubit >>
+    H() @ qubit ** 2 >>
+    Measure(1) @ Measure(1) @ qubit >>
+    bit @ controlled_X >>
+    controlled_Z
+)
+```
+
+### Verify the protocol
+
+
+```python
+import numpy as np
+from optyx.qubits import Id
+
+# both implementations are equivalent
+np.allclose(
+    teleportation.eval().tensor.array,
+    teleportation_monoidal_syntax.eval().tensor.array,
+    Id(1).double().to_tensor().eval().array
+)
+```
+
+
+
+
+    True
+
+
+
+Optyx evaluates diagrams via pluggable backends. By default it compiles a diagram to a tensor network, optimizes a contraction path with **cotengra**, and contracts it with **quimb** (CPU/GPU; dense/sparse). For linear-optical circuits, Optyx also exposes a **Perceval** backend using permanent-based algorithms, and a tensor-network-based **DisCoPy** backend; you can choose among these depending on the task.
+
+
+
+```python
+# backends (Perceval, Discopy, Quimb)
+
+from optyx.core.backends import (
+    DiscopyBackend,
+    QuimbBackend
+)
+
+np.allclose(
+    teleportation.eval(DiscopyBackend()).tensor.array,
+    teleportation.eval(QuimbBackend()).tensor.array
+)
+```
+
+
+
+
+    True
+
+
+
+### Verify with PyZX
+
+We can obtain the underlying CPTP map by doubling (CP-construction) an Optyx diagram:
+
+
+```python
+teleportation_monoidal_syntax.double().draw(figsize=(8, 8))
+```
+
+
+    
+![svg](readme_example_files/readme_example_25_0.svg)
+    
+
+
+This way we can use PyZX and its optimisation/simplifications functionalities:
+
+
+```python
+import pyzx
+pyzx_graph = teleportation_monoidal_syntax.double().to_pyzx()
+```
+
+
+```python
+pyzx.full_reduce(pyzx_graph, quiet=True)
+pyzx_graph.normalize()
+pyzx.draw(pyzx_graph)
+```
+
+
+<div style="overflow:auto" id="graph-output-I4zCJPnC"></div>
+<script type="module">
+var d3;
+if (d3 == null) { d3 = await import("https://cdn.skypack.dev/d3@5"); }
+// PyZX - Python library for quantum circuit rewriting 
+//        and optimisation using the ZX-calculus
+// Copyright (C) 2018 - Aleks Kissinger and John van de Wetering
+
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+
+//    http://www.apache.org/licenses/LICENSE-2.0
+
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+// styling functions
+function nodeColor(t) {
+    if (t == 0) return "black";
+    else if (t == 1) return "#ccffcc";
+    else if (t == 2) return "#ff8888";
+    else if (t == 3) return "yellow";
+    else if (t == 4) return "black";
+    else if (t == 5) return "black";
+    else if (t == 6) return "#ccffcc";
+}
+
+function edgeColor(t) {
+    if (t == 1) return "black";
+    else if (t == 2) return "#08f";
+    else if (t == 3) return "gray";
+}
+
+function nodeStyle(selected) {
+    return selected ? "stroke-width: 2px; stroke: #00f" : "stroke-width: 1.5px";
+}
+
+var symbolGround = {
+    draw: function(context, size){
+        let s = size/2;
+
+        context.moveTo(0,-s);
+        context.lineTo(0,0);
+
+        context.moveTo(-s,0);
+        context.lineTo(s,0);
+
+        context.moveTo(-2*s/3,s/3);
+        context.lineTo(2*s/3,s/3);
+
+        context.moveTo(-s/3,2*s/3);
+        context.lineTo(s/3,2*s/3);
+    }
+}
+
+function showGraph(tag, graph, width, height, scale, node_size, auto_hbox, show_labels, scalar_str) {
+    var ntab = {};
+
+    var groundOffset = 2.5 * node_size;
+
+    graph.nodes.forEach(function(d) {
+        ntab[d.name] = d;
+        d.selected = false;
+        d.previouslySelected = false;
+        d.nhd = [];
+    });
+
+    var spiders_and_boundaries = graph.nodes.filter(function(d) {
+        return d.t != 3;
+    });
+
+    graph.links.forEach(function(d) {
+        var s = ntab[d.source];
+        var t = ntab[d.target];
+        d.source = s;
+        d.target = t;
+        s.nhd.push(t);
+        t.nhd.push(s);
+    });
+
+    var shiftKey;
+
+    // SETUP SVG ITEMS
+
+    var svg = d3.select(tag)
+    //.attr("tabindex", 1)
+        .on("keydown.brush", function() {shiftKey = d3.event.shiftKey || d3.event.metaKey;})
+        .on("keyup.brush", function() {shiftKey = d3.event.shiftKey || d3.event.metaKey;})
+    //.each(function() { this.focus(); })
+        .append("svg")
+        .attr("style", "max-width: none; max-height: none")
+        .attr("width", width)
+        .attr("height", height);
+
+    var link = svg.append("g")
+        .attr("class", "link")
+        .selectAll("line")
+        .data(graph.links)
+        .enter().append("line")
+        .attr("stroke", function(d) { return edgeColor(d.t); })
+        .attr("style", "stroke-width: 1.5px");
+
+    var brush = svg.append("g")
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+
+The diagram is a double identity diagram.
+
+## Approximate contraction and photon loss: fusion teleportation
+
+Teleportation with **fusion measurements** uses a Bell pair of dual-rail qubits as the channel: Alice fuses the input with her half using a Type-II fusion, reads the classical outcomes, and Bob applies the corresponding correction. In the **success** branch, the overall map is the **identity** on the teleported qubit up to a known Pauli byproduct, which Bob removes with a conditioned \(X\) correction. In the **failure** branch, the input is effectively measured and the opposite state is prepared at the output. For the standard Type-II scheme this yields identity with probability \(1/2\), and failure otherwise; the paper’s diagrams show both branches explicitly and how the correction restores the state.
+
+
+Ursin, R., Jennewein, T., Aspelmeyer, M. et al. Quantum teleportation across the Danube. Nature 430, 849 (2004). https://doi.org/10.1038/430849a :
+
+<img src="./teleportation_danube.png" alt="Fusion teleportation across the Danube" width="1150px">
+
+Graphically, the fusion measurement we would like to use, takes the following form:
+
+<img src="./fusion_ii.png" alt="Fusion measurement" width="1200px">
+
+
+where $\underline{a}, \underline{b}, \underline{c}, \underline{d}$ are the measurement outcomes as the measured photon numbers. 
+
+$\underline{s} = \underline{a} \oplus \underline{b}$
+
+$\underline{k} = \underline{s} (\underline{b} + \underline{d}) + \neg \underline s (1 - \frac{\underline{a} + \underline{b}}{2})$
+
+### Define the protocol
+
+
+```python
+from optyx.photonic import DualRail
+
+dual_rail_encoded_bell = (
+    bell >>
+    DualRail(1) @ DualRail(1)
+)
+```
+
+
+```python
+from optyx.classical import PostselectBit, BitControlledGate
+from optyx.photonic import Phase
+from optyx.photonic import HadamardBS, qmode
+
+# postselect on fusion success
+fusion_failure_processing = PostselectBit(1)
+
+# apply the box if the control bit is 1, otherwise apply an identity channel
+correction = BitControlledGate(
+    HadamardBS() >>
+    (Phase(0.5) @ qmode) >>
+    HadamardBS()
+)
+```
+
+
+```python
+from optyx.photonic import FusionTypeII
+
+@Channel.from_callable(
+    dom=qubit, cod=qmode @ qmode
+)
+def fusion_teleportation(a):
+    dual_rail_encoded_input = DualRail(1)(a)
+    b, c, d, e = dual_rail_encoded_bell()
+    s, k = FusionTypeII()(*dual_rail_encoded_input, b, c)
+    fusion_failure_processing(s)
+    dr_output_1, dr_output_2 = correction(k, d, e)
+    return dr_output_1, dr_output_2
+```
+
+
+```python
+from optyx.photonic import FusionTypeII
+
+fusion_teleportation_monoidal_syntax = (
+    DualRail(1) @ dual_rail_encoded_bell >>
+    FusionTypeII() @ qmode**2 >>
+    fusion_failure_processing @ correction
+)
+
+fusion_teleportation_monoidal_syntax.foliation().draw(figsize=(8, 8))
+
+```
+
+
+    
+![svg](readme_example_files/readme_example_40_0.svg)
+    
+
+
+### Verify the protocol
+
+
+```python
+import numpy as np
+from optyx.photonic import Id
+
+array_teleportation = fusion_teleportation_monoidal_syntax.eval().tensor.array
+array_dr = (DualRail(1) @ Scalar(0.5**0.5)).double().to_tensor().eval().array
+
+np.allclose(array_teleportation[:, :, :2, :2, :2, :2], array_dr)
+
+```
+
+
+
+
+    True
+
+
+
+### Approximate contraction with Quimb and Cotengra
+
+Approximate contraction in Optyx uses cotengra to plan a low-cost contraction with memory-aware slicing, then executes it in quimb with optional compression of intermediates. Instead of multiplying tensors exactly, large merges are factorized and truncated (e.g., SVD) so only the dominant singular components are kept; you trade speed and memory for a controlled approximation error. Tightening the truncation tolerance (or increasing the allowed bond size) yields higher accuracy at higher cost, while more aggressive truncation/slicing gives faster, lower-memory contractions with small, quantifiable loss in fidelity.
+
+
+```python
+def _flat(x):
+    return np.asarray(x, dtype=complex).ravel()
+
+def cosine_similarity(SU, SV):
+    a, b = _flat(SU), _flat(SV)
+    num = abs(np.vdot(a, b))
+    den = np.linalg.norm(a) * np.linalg.norm(b)
+    if den == 0:
+        return 0.0
+    return float(num / den)
+```
+
+
+```python
+from cotengra import HyperCompressedOptimizer
+
+# cosine similarity between the result of exact contaction and approximate contraction for different chis
+errors = []
+for chi in range(1, 6):
+    optimiser = HyperCompressedOptimizer(
+        chi=chi
+    )
+    error_for_chi = []
+    for _ in range(10):
+         error_for_chi.append(
+             cosine_similarity(
+                 fusion_teleportation.eval(QuimbBackend(optimiser)).tensor.array,
+                 array_teleportation
+             )
+         )
+    errors.append(np.median(error_for_chi))
+
+import matplotlib.pyplot as plt
+plt.plot(range(1, 6), errors, marker='o')
+plt.grid()
+plt.xlabel('Chi')
+plt.ylabel('Average cosine similarity')
+plt.title('Fusion-based Teleportation similarity vs Contraction Chi')
+
+```
+
+    /home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/cotengra/hyperoptimizers/hyper.py:329: UserWarning: Trial error: not enough values to unpack (expected 2, got 1). Set `HyperOptimizer` kwarg `on_trial_error='raise'` to raise this error, or `on_trial_error='ignore'` to silence.
+      warnings.warn(
+    /home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/cotengra/hyperoptimizers/hyper.py:329: UserWarning: Trial error: not enough values to unpack (expected 2, got 1). Set `HyperOptimizer` kwarg `on_trial_error='raise'` to raise this error, or `on_trial_error='ignore'` to silence.
+      warnings.warn(
+    /home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/cotengra/hyperoptimizers/hyper.py:329: UserWarning: Trial error: not enough values to unpack (expected 2, got 1). Set `HyperOptimizer` kwarg `on_trial_error='raise'` to raise this error, or `on_trial_error='ignore'` to silence.
+      warnings.warn(
+    /home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/cotengra/hyperoptimizers/hyper.py:329: UserWarning: Trial error: not enough values to unpack (expected 2, got 1). Set `HyperOptimizer` kwarg `on_trial_error='raise'` to raise this error, or `on_trial_error='ignore'` to silence.
+      warnings.warn(
+    /home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/cotengra/hyperoptimizers/hyper.py:329: UserWarning: Trial error: not enough values to unpack (expected 2, got 1). Set `HyperOptimizer` kwarg `on_trial_error='raise'` to raise this error, or `on_trial_error='ignore'` to silence.
+      warnings.warn(
+    /home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/cotengra/hyperoptimizers/hyper.py:329: UserWarning: Trial error: not enough values to unpack (expected 2, got 1). Set `HyperOptimizer` kwarg `on_trial_error='raise'` to raise this error, or `on_trial_error='ignore'` to silence.
+      warnings.warn(
+    /home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/cotengra/hyperoptimizers/hyper.py:329: UserWarning: Trial error: not enough values to unpack (expected 2, got 1). Set `HyperOptimizer` kwarg `on_trial_error='raise'` to raise this error, or `on_trial_error='ignore'` to silence.
+      warnings.warn(
+    /home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/cotengra/hyperoptimizers/hyper.py:329: UserWarning: Trial error: not enough values to unpack (expected 2, got 1). Set `HyperOptimizer` kwarg `on_trial_error='raise'` to raise this error, or `on_trial_error='ignore'` to silence.
+      warnings.warn(
+
+
+
+
+
+    Text(0.5, 1.0, 'Fusion-based Teleportation similarity vs Contraction Chi')
+
+
+
+
+    
+![svg](readme_example_files/readme_example_45_2.svg)
+    
+
+
+### Photon loss and channel fidelity
+
+Photon loss is when a photon that should arrive simply doesn’t. In Optyx, you model this by placing a dedicated loss generator exactly where the loss occurs; its single parameter is the photon survival probability. Photon loss is the primary failure mode for photonic qubits. In photonic computing it breaks multi-photon interference and reduces the success of fusion/measurement steps. That’s why if we want to study architectures, thresholds, and mitigation (repeaters, multiplexing, loss-tolerant encodings), we need to be able to model photon loss accurately.
+
+
+```python
+from optyx.photonic import FusionTypeII, PhotonLoss
+
+# photo loss is one of the main error sources in photonic quantum computing
+def fusion_teleportation_with_photon_loss(p):
+    @Channel.from_callable(
+        dom=qubit, cod=qmode**2
+    )
+    def fusion_teleportation(a):
+        dr_input_1, dr_input_2 = DualRail(1)(a)
+        b, c, d, e = dual_rail_encoded_bell()
+        # apply photon loss to all modes here:
+        #-----------------------------------
+        dr_input_1_loss, dr_input_2_loss, b_loss, c_loss, d_loss, e_loss = (
+            PhotonLoss(p)(dr_input_1), PhotonLoss(p)(dr_input_2),
+            PhotonLoss(p)(b), PhotonLoss(p)(c),
+            PhotonLoss(p)(d), PhotonLoss(p)(e)
+        )
+        #-----------------------------------
+        s, k = FusionTypeII()(dr_input_1_loss, dr_input_2_loss, b_loss, c_loss)
+        fusion_failure_processing(s)
+        output_rail_1, output_rail = correction(k, d_loss, e_loss)
+        return output_rail_1, output_rail
+    return fusion_teleportation
+```
+
+
+```python
+from optyx.core.channel import Spider, Diagram
+
+def get_perm(n):
+    return sorted(sorted(list(range(n))), key=lambda i: i % 2)
+
+def channel_fidelity(diagram_1, diagram_2):
+    bell_1 = Channel.tensor(*[Spider(0, 2, ty) for ty in diagram_1.dom])
+    permutation_1 = Diagram.permutation(get_perm(len(bell_1.cod)), bell_1.cod)
+
+    bell_2 = Channel.tensor(*[Spider(0, 2, ty) for ty in diagram_2.dom])
+    permutation_2 = Diagram.permutation(get_perm(len(bell_2.cod)), bell_2.cod)
+
+    choi_1 = bell_1 >> permutation_1 >> (diagram_1 @ diagram_1.dom)
+    choi_2 = bell_2 >> permutation_2 >> (diagram_2 @ diagram_2.dom)
+
+    return (choi_1 >> choi_2.dagger()).eval().tensor.array
+
+```
+
+
+```python
+import numpy as np
+import matplotlib.pyplot as plt
+
+ps = np.linspace(0.0, 1.0, 20)
+
+# compute fidelity for different photon loss probabilities
+F_avg_vals = []
+succ_probs = []
+for p in ps:
+    S_impl = fusion_teleportation_with_photon_loss(p)
+    S_tgt  = fusion_teleportation_monoidal_syntax
+    s = channel_fidelity(S_impl, S_tgt)
+
+    succ_probs.append(s)
+
+plt.figure()
+plt.plot(ps, succ_probs, marker='o')
+plt.grid(True)
+plt.xlabel('Photon Survival Probability (p)')
+plt.ylabel('Fidelity')
+plt.title('Fusion-based Teleportation: Photon Survival Probability vs Fidelity')
+
+```
+
+    /home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/matplotlib/cbook.py:1719: ComplexWarning: Casting complex values to real discards the imaginary part
+      return math.isfinite(val)
+    /home/mateuszkupper/Documents/optyx/.venv/lib/python3.12/site-packages/matplotlib/cbook.py:1355: ComplexWarning: Casting complex values to real discards the imaginary part
+      return np.asarray(x, float)
+
+
+
+
+
+    Text(0.5, 1.0, 'Fusion-based Teleportation: Photon Survival Probability vs Fidelity')
+
+
+
+
+    
+![svg](readme_example_files/readme_example_49_2.svg)
+    
+
+
+## Photon distinguishability: distributed entanglement generation
+
+Distributed entanglement generation links two distant quantum nodes (A and B) by creating a shared entangled pair. Each node emits a photon that travels to a shared site, where the photons interfere and a joint (Bell-state) detection flags success — instantly projecting A and B into an entangled state. Because attempts often fail due to loss, the process is repeated-until-success with timing. This is the core primitive behind quantum networks and repeaters, enabling long-distance QKD, teleportation, and multi-node protocols.
+
+Main, D., Drmota, P., Nadlinger, D.P. et al. Distributed quantum computing across an optical network link. Nature 638, 383–388 (2025). https://doi.org/10.1038/s41586-024-08404-x~ :
+
+![Distributed entanglement](./distributed_entanglement.png "An example of distributed entanglement generation")
+
+
+
+### Fusion and photon distinguishability
+
+#### Define the protocol
+
+
+```python
+from optyx.qubits import Z, Scalar, Id, Measure
+from optyx.photonic import DualRail
+from optyx.classical import PostselectBit
+from discopy.drawing import Equation
+
+bell_state = Z(0, 2) @ Scalar(0.5 ** 0.5)
+
+# generators introducing new qubits accepting internal states
+internal_state_1 = [1, 0]
+internal_state_2 = [0, 1]
+dual_rail_encoding = lambda state: DualRail(1, internal_states=[state])
+encoding_layer =  dual_rail_encoding(internal_state_1) @ dual_rail_encoding(internal_state_2)
+
+# postselect on fusion success and no errors
+post_select = PostselectBit(1) @ PostselectBit(0)
+
+protocol = (
+    bell_state @ bell_state >>
+    Id(1) @ (encoding_layer >> FusionTypeII() >> post_select) @ Id(1)
+)
+measure = Measure(2)
+
+Equation(protocol >> measure, bell_state >> measure).draw(figsize=(8, 8))
+```
+
+
+    
+![svg](readme_example_files/readme_example_54_0.svg)
+    
+
+
+#### Define a set of internal states with varying degrees of distinguishability
+
+We test how partial photon distinguishability affects a heralded entanglement link. The experiment uses the overlap between two internal two-mode states (`rotated_unit_vectors`), encodes them into dual-rail photons (`dual_rail_encoding`), and performs a Type-II fusion with postselection (`FusionTypeII() >> post_select`). We then project onto the target Bell state (`... >> bell_state.dagger()`) to read off the heralded-state quality, and use a discard step (`... >> Discard(2)`) to extract the success probability. Plotting these versus the state overlap reveals how distinguishability simultaneously degrades fidelity and lowers the entanglement generation rate.
+
+
+
+```python
+import math
+
+# internal states - 2 dimensional - move further and further apart
+def rotated_unit_vectors(n: int = 10):
+    for i in range(n):
+        theta = i * (math.pi / 2) / (n - 1)
+        yield (math.cos(theta), math.sin(theta))
+
+unit_vectors = list(rotated_unit_vectors(15))
+```
+
+#### Run the experiments
+
+
+```python
+from optyx.qubits import Discard
+
+inner_product_states = []
+inner_product_bell_states = []
+
+result_bell = bell_state.eval().tensor.array.flatten()
+result_bell = result_bell / np.linalg.norm(result_bell)
+
+for vector in unit_vectors:
+    encoding_layer =  dual_rail_encoding(internal_state_1) @ dual_rail_encoding(vector)
+    experiment = bell_state @ bell_state >> Id(1) @ (encoding_layer >> FusionTypeII()
+                                                                                >> post_select) @ Id(1)
+
+    f = (experiment >> bell_state.dagger()).inflate(2).eval().tensor.array
+    normalisation = (experiment >> Discard(2)).inflate(2).eval().tensor.array
+
+    inner_product_states.append(np.inner(vector, internal_state_1))
+    inner_product_bell_states.append(f/normalisation)
+```
+
+
+```python
+import matplotlib.pyplot as plt
+
+plt.figure(figsize=(6, 4))
+plt.plot(inner_product_states, inner_product_bell_states, marker='o')
+plt.xlabel('<Internal state 1 | Internal state 2>')
+plt.ylabel('<Result | Bell State> (fidelity)')
+plt.title('Fidelity of the resulting state with the perfect Bell state')
+plt.grid(True)
+plt.show()
+```
+
+
+    
+![svg](readme_example_files/readme_example_59_0.svg)
+    
+
+
+## Interfacing with external libraries
+
+### Graphix
+
+Open graphs supported only for now (graph + measurements; desire to implement deterministically - no corrections)
+
+
+```python
+import graphix
+
+circuit = graphix.Circuit(2)
+circuit.cnot(0, 1)
+
+pattern = circuit.transpile().pattern
+
+pattern.draw_graph()
+```
+
+    The pattern is not consistent with flow or gflow structure.
+
+
+
+    
+![svg](readme_example_files/readme_example_62_1.svg)
+    
+
+
+
+```python
+simulator = graphix.simulator.PatternSimulator(pattern, backend="statevector")
+graphix_result = simulator.run().psi.conj()
+```
+
+
+```python
+from optyx import qubits
+
+optyx_zx = qubits.Circuit(pattern)
+
+optyx_res = (
+    qubits.Ket("+")**2 >> optyx_zx
+).eval().amplitudes()
+```
+
+
+```python
+for keys in optyx_res.keys():
+    assert np.isclose(optyx_res[keys], graphix_result[keys], atol=1e-6)
+```
+
+### Perceval circuits and processors
+
+#### Define the protocol in Perceval
+
+
+```python
+import perceval as pcvl
+
+p = pcvl.Processor("SLOS", 6)
+p.add(0, pcvl.catalog["postprocessed cnot"].build_processor())
+
+p.add(0, pcvl.BS.H())
+p.add(0, pcvl.Detector.pnr())
+p.add(1, pcvl.Detector.pnr())
+p.add(2, pcvl.Detector.pnr())
+p.add(3, pcvl.Detector.pnr())
+
+ff_X = pcvl.FFCircuitProvider(
+  2, 0, pcvl.Circuit(2)
+)
+ff_X.add_configuration(
+  [0, 1], pcvl.PERM([1, 0])
+)
+p.add(2, ff_X)
+
+phi = pcvl.P("phi")
+ff_Z = pcvl.FFConfigurator(
+  2, 3,
+  pcvl.PS(phi),
+  {"phi": 0}
+).add_configuration(
+  [0, 1],
+  {"phi": np.pi}
+)
+p.add(0, ff_Z)
+
+pcvl.pdisplay(p, recursive=True)
+```
+
+
+
+
+    
+![svg](readme_example_files/readme_example_68_0.svg)
+    
+
+
+
+
+```python
+from optyx.qubits import Ket
+
+state = Ket("+") >> Z(1, 1, 0.3)
+state_array = state.eval().tensor.array
+state_array = state_array / np.linalg.norm(state_array)
+```
+
+#### Evaluate the protocol in Perceval
+
+
+```python
+to_transmit = (complex(state_array[0])*pcvl.BasicState([1, 0]) +
+               complex(state_array[1])*pcvl.BasicState([0, 1]))
+
+sg = pcvl.StateGenerator(pcvl.Encoding.DUAL_RAIL)
+bell_state = sg.bell_state("phi+")
+
+input_state = to_transmit * bell_state
+p.min_detected_photons_filter(2)
+
+input_state *= pcvl.BasicState([0, 0])
+
+p.with_input(input_state)
+```
+
+
+```python
+result_perceval = p.probs()
+```
+
+#### Convert to Optyx and simulate
+
+
+```python
+from optyx import Channel
+
+optyx_diagram = Channel.from_perceval(p)
+```
+
+
+```python
+from optyx.qubits import Scalar, Ket
+from optyx.photonic import DualRail
+
+bell_state = Z(0, 2) @ Scalar(0.5**0.5)
+transmit = Ket("+") >> Z(1, 1, 0.3)
+
+input_state = transmit @ bell_state
+
+protocol = (
+    input_state >>
+    DualRail(3) >>
+    Channel.from_perceval(p)
+)
+```
+
+
+```python
+result_optyx = protocol.eval().prob_dist()
+```
+
+
+```python
+def check_dict_agreement(d1, d2, rtol=1e-5, atol=1e-8):
+    for key in d1.keys() - d2.keys():
+        assert np.isclose(d1[key], 0, rtol=rtol, atol=atol)
+    for key in d2.keys() - d1.keys():
+        assert np.isclose(d2[key], 0, rtol=rtol, atol=atol)
+    for key in d1.keys() & d2.keys():
+        assert np.isclose(d1[key], d2[key], rtol=rtol, atol=atol)
+```
+
+
+```python
+check_dict_agreement(
+    {tuple(k): v for k, v in dict(result_perceval["results"]).items()},
+    result_optyx
+)
+```
+
+
+```python
+
+```
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index 00000000..7d4c313c
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diff --git a/examples/test_light_cones.ipynb b/examples/test_light_cones.ipynb
new file mode 100644
index 00000000..408ebc05
--- /dev/null
+++ b/examples/test_light_cones.ipynb
@@ -0,0 +1,16828 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 186,
+   "id": "31149112",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from __future__ import annotations\n",
+    "\n",
+    "from typing import List, Tuple\n",
+    "from optyx.core.diagram import Box, Diagram, Spider, Swap\n",
+    "from optyx.core import zw\n",
+    "\n",
+    "LO_ELEMENTS = (\n",
+    "    zw.Create,\n",
+    "    zw.W,\n",
+    "    zw.Select,\n",
+    "    zw.Add,\n",
+    "    zw.Endo\n",
+    ")\n",
+    "\n",
+    "def update_connections(\n",
+    "    wires_in_light_cone: List[bool],\n",
+    "    previous_left_offset: int,\n",
+    "    previous_box: Box,\n",
+    "    previous_right_offset: int,\n",
+    ") -> List[bool]:\n",
+    "    \"\"\"\n",
+    "    Replace the previous box's COD segment in the light-cone by a DOM-length\n",
+    "    segment that is either all True (if connected) or all False.\n",
+    "    This pulls the cone one layer backward.\n",
+    "    \"\"\"\n",
+    "    connected = is_previous_box_connected_to_current_box(\n",
+    "        wires_in_light_cone,\n",
+    "        previous_left_offset,\n",
+    "        len(previous_box.cod),\n",
+    "        previous_right_offset,\n",
+    "    )\n",
+    "\n",
+    "    start = previous_left_offset\n",
+    "    end = len(wires_in_light_cone) - previous_right_offset\n",
+    "\n",
+    "    # replace cod slice with a dom-length slice of the same boolean\n",
+    "    return (\n",
+    "        wires_in_light_cone[:start]\n",
+    "        + [connected] * len(previous_box.dom)\n",
+    "        + wires_in_light_cone[end:]\n",
+    "    )\n",
+    "\n",
+    "def calculate_right_offset(total_wires: int, left_offset: int, span_len: int) -> int:\n",
+    "    \"\"\"Right offset = number of wires to the right of a span.\"\"\"\n",
+    "    return total_wires - span_len - left_offset\n",
+    "\n",
+    "def is_previous_box_connected_to_current_box(\n",
+    "    wires_in_light_cone: List[bool],\n",
+    "    previous_left_offset: int,\n",
+    "    previous_box_cod_len: int,\n",
+    "    previous_right_offset: int,\n",
+    ") -> bool:\n",
+    "    \"\"\"\n",
+    "    Do the current light-cone wires intersect the COD of the previous box?\n",
+    "    \"\"\"\n",
+    "    mask = (\n",
+    "        [False] * previous_left_offset\n",
+    "        + [True] * previous_box_cod_len\n",
+    "        + [False] * previous_right_offset\n",
+    "    )\n",
+    "    # lengths should match by construction\n",
+    "    assert len(mask) == len(wires_in_light_cone), (\n",
+    "        f\"Mask/wires length mismatch: {len(mask)} != {len(wires_in_light_cone)}\"\n",
+    "    )\n",
+    "\n",
+    "    return any(w and m for w, m in zip(wires_in_light_cone, mask))\n",
+    "\n",
+    "def get_previous_box_cod_index_in_light_cone(\n",
+    "    wires_in_light_cone: List[bool],\n",
+    "    previous_left_offset: int,\n",
+    "    previous_box_cod_len: int,\n",
+    "    previous_right_offset: int,\n",
+    ") -> List[int]:\n",
+    "    \"\"\"\n",
+    "    Get the indices of the COD of the previous box that are in the current light-cone.\n",
+    "    \"\"\"\n",
+    "    mask = (\n",
+    "        [False] * previous_left_offset\n",
+    "        + [True] * previous_box_cod_len\n",
+    "        + [False] * previous_right_offset\n",
+    "    )\n",
+    "    # lengths should match by construction\n",
+    "    assert len(mask) == len(wires_in_light_cone), (\n",
+    "        f\"Mask/wires length mismatch: {len(mask)} != {len(wires_in_light_cone)}\"\n",
+    "    )\n",
+    "\n",
+    "    return [\n",
+    "        i - previous_left_offset for i, (w, m) in enumerate(zip(wires_in_light_cone, mask))\n",
+    "        if w and m\n",
+    "    ]\n",
+    "\n",
+    "\n",
+    "def get_max_dim_for_box(\n",
+    "    left_offset: int,\n",
+    "    box: Box,\n",
+    "    right_offset: int,\n",
+    "    input_dims: List[int],\n",
+    "    prev_layers: List[Tuple[int, Box]],\n",
+    "):\n",
+    "\n",
+    "    if len(box.dom) == 0 or isinstance(box, Swap):\n",
+    "        return 1e20\n",
+    "\n",
+    "    dim_for_box = 0\n",
+    "\n",
+    "    # light-cone at the current layer inputs\n",
+    "    wires_in_light_cone: List[bool] = (\n",
+    "        [False] * left_offset\n",
+    "        + [True] * len(box.dom)\n",
+    "        + [False] * right_offset\n",
+    "    )\n",
+    "\n",
+    "    for previous_left_offset, previous_box in prev_layers[::-1]:\n",
+    "        previous_right_offset = calculate_right_offset(\n",
+    "            len(wires_in_light_cone), previous_left_offset, len(previous_box.cod)\n",
+    "        )\n",
+    "\n",
+    "        if is_previous_box_connected_to_current_box(\n",
+    "            wires_in_light_cone,\n",
+    "            previous_left_offset,\n",
+    "            len(previous_box.cod),\n",
+    "            previous_right_offset,\n",
+    "        ):\n",
+    "\n",
+    "            if isinstance(previous_box, zw.Create):\n",
+    "                idxs = get_previous_box_cod_index_in_light_cone(\n",
+    "                    wires_in_light_cone,\n",
+    "                    previous_left_offset,\n",
+    "                    len(previous_box.cod),\n",
+    "                    previous_right_offset,\n",
+    "                )\n",
+    "                dim_for_box += sum(previous_box.photons[i] for i in idxs)\n",
+    "\n",
+    "        wires_in_light_cone = update_connections(\n",
+    "            wires_in_light_cone,\n",
+    "            previous_left_offset,\n",
+    "            previous_box,\n",
+    "            previous_right_offset,\n",
+    "        )\n",
+    "\n",
+    "    dim_for_box += sum(2*dim for wire, dim in zip(wires_in_light_cone, input_dims) if wire) + 1\n",
+    "    return dim_for_box\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 147,
+   "id": "e97d833d",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from optyx.photonic import ansatz, Create\n",
+    "import numpy as np\n",
+    "from optyx import qmode\n",
+    "\n",
+    "def chip_mzi(w, l):\n",
+    "    ansatz_ = ansatz(w, l)\n",
+    "    symbs = list(ansatz_.free_symbols)\n",
+    "    s = [(i, np.random.uniform(0, 1)) for i in symbs]\n",
+    "    return ansatz_.subs(*s)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "5e3c7ea2",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from optyx.core import zw\n",
+    "from optyx import Channel\n",
+    "\n",
+    "def _number_operator():\n",
+    "    return (\n",
+    "        zw.W(2) >>\n",
+    "        zw.Select(1) @ zw.Id(1) >>\n",
+    "        zw.Create(1) @ zw.Id(1) >>\n",
+    "        zw.W(2).dagger()\n",
+    "    )\n",
+    "\n",
+    "def _monomial_number_operator(power):\n",
+    "    diag = zw.Id(1)\n",
+    "    for i in range(power):\n",
+    "        diag = diag >> _number_operator()\n",
+    "    return diag\n",
+    "\n",
+    "def _get_monomial_layer(powers):\n",
+    "    monomial_layer = zw.Id(0)\n",
+    "    for power in powers:\n",
+    "        monomial_layer = monomial_layer @ _monomial_number_operator(power)\n",
+    "\n",
+    "    return Channel(\"l\", monomial_layer)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "fc152566",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 190,
+   "id": "353c0a1c",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from discopy import tensor\n",
+    "from optyx.core.diagram import Dim, modify_io_dims_against_max_dim\n",
+    "\n",
+    "# pylint: disable=too-many-locals\n",
+    "def to_tensor(\n",
+    "    self, input_dims: list = None\n",
+    ") -> tensor.Diagram:\n",
+    "    \"\"\"Returns a :class:`tensor.Diagram` for evaluation\"\"\"\n",
+    "    from optyx.core import zw\n",
+    "\n",
+    "    prev_layers: List[Tuple[int, Box]] = []\n",
+    "\n",
+    "    # pylint: disable=import-outside-toplevel\n",
+    "    def list_to_dim(dims: np.ndarray | list) -> Dim:\n",
+    "        \"\"\"Converts a list of dimensions to a Dim object\"\"\"\n",
+    "        return Dim(*[int(i) for i in dims])\n",
+    "\n",
+    "    number_of_input_layer_wires = len(self.dom)\n",
+    "\n",
+    "    if input_dims is None:\n",
+    "        layer_dims = [2 for _ in range(len(self.dom))]\n",
+    "    else:\n",
+    "        assert len(self.dom) == len(input_dims), (\n",
+    "            f\"Input dims length {len(input_dims)} does not match number of input wires {len(self.dom)}\"\n",
+    "        )\n",
+    "        layer_dims = input_dims\n",
+    "\n",
+    "    if len(self.boxes) == 0 and len(self.offsets) == 0:\n",
+    "        return tensor.Diagram.id(list_to_dim(layer_dims))\n",
+    "\n",
+    "    for i, (box, left_offset) in enumerate(zip(self.boxes, self.offsets)):\n",
+    "        right_offset = calculate_right_offset(\n",
+    "            number_of_input_layer_wires, left_offset, len(box.dom)\n",
+    "        )\n",
+    "\n",
+    "        max_dim = get_max_dim_for_box(\n",
+    "            left_offset,\n",
+    "            box,\n",
+    "            right_offset,\n",
+    "            layer_dims,\n",
+    "            prev_layers\n",
+    "        )\n",
+    "\n",
+    "        dims_in = layer_dims[left_offset:left_offset + len(box.dom)]\n",
+    "        dims_out, _ = modify_io_dims_against_max_dim(\n",
+    "            box.determine_output_dimensions(dims_in),\n",
+    "            None,\n",
+    "            max_dim\n",
+    "            )\n",
+    "        if isinstance(box, LO_ELEMENTS):\n",
+    "            prev_layers.append((left_offset, box))\n",
+    "        else:\n",
+    "            prev_layers.append(\n",
+    "                (left_offset, zw.Select(*dims_in) >> zw.Create(*dims_out))\n",
+    "            )\n",
+    "\n",
+    "        left = Dim()\n",
+    "        if left_offset > 0:\n",
+    "            left = list_to_dim(layer_dims[0:left_offset])\n",
+    "        right = Dim()\n",
+    "        if left_offset + len(box.dom) < number_of_input_layer_wires:\n",
+    "            right = list_to_dim(\n",
+    "                layer_dims[left_offset + len(box.dom): number_of_input_layer_wires]\n",
+    "            )\n",
+    "\n",
+    "        number_of_input_layer_wires += -len(box.dom) + len(box.cod)\n",
+    "        cod_layer_dims = (\n",
+    "            layer_dims[0:left_offset]\n",
+    "            + dims_out\n",
+    "            + layer_dims[left_offset + len(box.dom):]\n",
+    "        )\n",
+    "\n",
+    "        diagram_ = left @ box.truncation(dims_in, dims_out) @ right\n",
+    "        if i == 0:\n",
+    "            diagram = diagram_\n",
+    "        else:\n",
+    "            diagram = diagram >> diagram_\n",
+    "\n",
+    "        layer_dims = cod_layer_dims\n",
+    "\n",
+    "    zboxes = tensor.Id(Dim(1))\n",
+    "\n",
+    "    # pylint: disable=invalid-name\n",
+    "    for c in diagram.cod:\n",
+    "        zboxes @= zw.ZBox(1, 1, lambda i: 1).truncation(\n",
+    "            input_dims=[int(c.inside[0])], output_dims=[int(c.inside[0])]\n",
+    "        )\n",
+    "    diagram >>= zboxes\n",
+    "    return diagram\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "e19e4271",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 160,
+   "id": "e6a63953",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "d = _get_monomial_layer([2, 0, 1, 3]).get_kraus()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 161,
+   "id": "cc6faece",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#d.to_tensor().foliation().draw()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 162,
+   "id": "88f71084",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#to_tensor(d).foliation().draw()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 154,
+   "id": "19729f78",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/svg+xml": [
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+      "text/plain": [
+       "<Figure size 1600x5200 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "chip = chip_mzi(8, 2)\n",
+    "(Create(*[1]*8) >> chip).get_kraus().to_tensor().foliation().draw()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 188,
+   "id": "4e128eb7",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
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+   "source": [
+    "to_tensor((Create(*[1]*8) >> chip).get_kraus()).foliation().draw()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 191,
+   "id": "896f5f67",
+   "metadata": {},
+   "outputs": [
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+    "to_tensor((Create(*[1]*8) >> chip).get_kraus()).foliation().draw()"
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+  {
+   "cell_type": "code",
+   "execution_count": 192,
+   "id": "07abf735",
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+       " </g>\n",
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+       "</svg>\n"
+      ],
+      "text/plain": [
+       "<Figure size 1600x5100 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "to_tensor((chip).get_kraus()).foliation().draw()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "5ca90920",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "335306fa",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "893f207e",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "517b6976",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "51635d8f",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "9f89239e",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# IF THE DIAGRAM IS ONLY COMPOSED OF LO BOXES\n",
+    "def dims_for_lo_boxes(diagram: Diagram, input_dims: List[int]) -> List[Tuple[Box, int]]:\n",
+    "    prev_layers: List[Tuple[int, Box]] = []\n",
+    "    dims_for_boxes: List[Tuple[Box, int]] = []\n",
+    "\n",
+    "\n",
+    "    assert len(diagram.dom) == len(input_dims), (\n",
+    "        f\"Input dims length {len(input_dims)} does not match number of input wires {len(diagram.dom)}\"\n",
+    "    )\n",
+    "    number_of_input_layer_wires = len(diagram.dom)\n",
+    "\n",
+    "    #post_selections = get_postselections(diagram)\n",
+    "\n",
+    "    for box, left_offset in zip(\n",
+    "        diagram.boxes,\n",
+    "        diagram.offsets,\n",
+    "        #post_selections\n",
+    "    ):\n",
+    "        right_offset = calculate_right_offset(\n",
+    "            number_of_input_layer_wires, left_offset, len(box.dom)\n",
+    "        )\n",
+    "\n",
+    "        # light-cone at the current layer inputs\n",
+    "        wires_in_light_cone: List[bool] = (\n",
+    "            [False] * left_offset\n",
+    "            + [True] * len(box.dom)\n",
+    "            + [False] * right_offset\n",
+    "        )\n",
+    "\n",
+    "        dim_for_box = 0\n",
+    "\n",
+    "        # walk backwards through previous layers\n",
+    "        #used_ps = []\n",
+    "\n",
+    "        for previous_left_offset, previous_box in prev_layers[::-1]:\n",
+    "            previous_right_offset = calculate_right_offset(\n",
+    "                len(wires_in_light_cone), previous_left_offset, len(previous_box.cod)\n",
+    "            )\n",
+    "\n",
+    "            if is_previous_box_connected_to_current_box(\n",
+    "                wires_in_light_cone,\n",
+    "                previous_left_offset,\n",
+    "                len(previous_box.cod),\n",
+    "                previous_right_offset,\n",
+    "            ):\n",
+    "\n",
+    "                if isinstance(previous_box, zw.Create):\n",
+    "                    idxs = get_previous_box_cod_index_in_light_cone(\n",
+    "                        wires_in_light_cone,\n",
+    "                        previous_left_offset,\n",
+    "                        len(previous_box.cod),\n",
+    "                        previous_right_offset,\n",
+    "                    )\n",
+    "                    dim_for_box += sum(previous_box.photons[i] for i in idxs)\n",
+    "\n",
+    "            # for p in ps:\n",
+    "            #     if p[0] not in used_ps:\n",
+    "            #         dim_for_box -= p[1]\n",
+    "            #         used_ps.append(p[0])\n",
+    "\n",
+    "            wires_in_light_cone = update_connections(\n",
+    "                wires_in_light_cone,\n",
+    "                previous_left_offset,\n",
+    "                previous_box,\n",
+    "                previous_right_offset,\n",
+    "            )\n",
+    "\n",
+    "        dim_for_box += sum(1*dim for wire, dim in zip(wires_in_light_cone, input_dims) if wire)\n",
+    "\n",
+    "        dims_for_boxes.append((box, dim_for_box + 1))\n",
+    "        if isinstance(box, LO_ELEMENTS):\n",
+    "            prev_layers.append((left_offset, box))\n",
+    "        else:\n",
+    "            pass\n",
+    "\n",
+    "        number_of_input_layer_wires += -len(box.dom) + len(box.cod)\n",
+    "\n",
+    "    return dims_for_boxes"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "4d726481",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# IF THE DIAGRAM IS ONLY COMPOSED OF LO BOXES\n",
+    "def get_postselections(diagram: Diagram) -> List[Tuple[Box, int]]:\n",
+    "    diagram = diagram.dagger()\n",
+    "    prev_layers: List[Tuple[int, Box]] = []\n",
+    "    postselection_for_boxes: List[Tuple[Box, int]] = []\n",
+    "\n",
+    "    number_of_input_layer_wires = len(diagram.dom)\n",
+    "\n",
+    "    for box, left_offset in zip(diagram.boxes, diagram.offsets):\n",
+    "        right_offset = calculate_right_offset(\n",
+    "            number_of_input_layer_wires, left_offset, len(box.dom)\n",
+    "        )\n",
+    "\n",
+    "        # light-cone at the current layer inputs\n",
+    "        wires_in_light_cone: List[bool] = (\n",
+    "            [False] * left_offset\n",
+    "            + [True] * len(box.dom)\n",
+    "            + [False] * right_offset\n",
+    "        )\n",
+    "\n",
+    "        postselections_for_box = []\n",
+    "\n",
+    "        # walk backwards through previous layers\n",
+    "        for previous_left_offset, previous_box in prev_layers[::-1]:\n",
+    "            previous_right_offset = calculate_right_offset(\n",
+    "                len(wires_in_light_cone), previous_left_offset, len(previous_box.cod)\n",
+    "            )\n",
+    "\n",
+    "            if is_previous_box_connected_to_current_box(\n",
+    "                wires_in_light_cone,\n",
+    "                previous_left_offset,\n",
+    "                len(previous_box.cod),\n",
+    "                previous_right_offset,\n",
+    "            ):\n",
+    "\n",
+    "                if isinstance(previous_box, zw.Create):\n",
+    "                    idxs = get_previous_box_cod_index_in_light_cone(\n",
+    "                        wires_in_light_cone,\n",
+    "                        previous_left_offset,\n",
+    "                        len(previous_box.cod),\n",
+    "                        previous_right_offset,\n",
+    "                    )\n",
+    "                    postselections_for_box.append(\n",
+    "                        (id(previous_box), sum(previous_box.photons[i] for i in idxs))\n",
+    "                    )\n",
+    "\n",
+    "            wires_in_light_cone = update_connections(\n",
+    "                wires_in_light_cone,\n",
+    "                previous_left_offset,\n",
+    "                previous_box,\n",
+    "                previous_right_offset,\n",
+    "            )\n",
+    "\n",
+    "        postselection_for_boxes.append((postselections_for_box))\n",
+    "        if isinstance(box, LO_ELEMENTS):\n",
+    "            prev_layers.append((left_offset, box))\n",
+    "        else:\n",
+    "            pass\n",
+    "\n",
+    "        number_of_input_layer_wires += -len(box.dom) + len(box.cod)\n",
+    "\n",
+    "    return postselection_for_boxes[::-1]"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": ".venv",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.12.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/optyx/classical.py b/optyx/classical.py
index b6e0c5eb..920f1021 100644
--- a/optyx/classical.py
+++ b/optyx/classical.py
@@ -693,6 +693,23 @@ def __init__(self, *photons: int):
 
 Bit = lambda *bits: PostselectBit(*bits).dagger()  # noqa: E731
 
+CtrlX = Channel(
+  "Controlled-X",
+  zx.X(2, 1) @ diagram.Scalar(2 ** 0.5),
+  dom=bit @ qubit,
+  cod=qubit
+)
+
+CtrlZ = Channel(
+  "Controlled-Z",
+  (
+    zx.H @ diagram.bit >>
+    zx.Z(2, 1) @ diagram.Scalar(2 ** 0.5)
+  ),
+  dom=bit @ qubit,
+  cod=qubit
+)
+
 
 def Id(n):
     """
diff --git a/optyx/core/backends.py b/optyx/core/backends.py
index 0c46726f..552933fb 100644
--- a/optyx/core/backends.py
+++ b/optyx/core/backends.py
@@ -392,16 +392,51 @@ def eval(
         Returns:
             The result of the evaluation.
         """
-        quimb_tn = self._get_quimb_tensor(diagram)
+
         tensor_diagram = self._get_discopy_tensor(diagram)
 
+        if hasattr(diagram, 'terms'):
+            results = sum(
+                self._process_term(term) for term in tensor_diagram.terms
+            )
+        else:
+            results = self._process_term(tensor_diagram)
+
+        if diagram.is_pure:
+            state_type = StateType.AMP
+        else:
+            state_type = StateType.DM
+
+        return EvalResult(
+            discopy_tensor.Box(
+                "Result",
+                tensor_diagram.dom,
+                tensor_diagram.cod,
+                results
+            ),
+            output_types=diagram.cod,
+            state_type=state_type
+        )
+
+    def _process_term(self, term: Diagram) -> np.ndarray:
+        """
+        Process a term in a sum of diagrams.
+
+        Args:
+            term (Diagram): The term to process.
+
+        Returns:
+            np.ndarray: The processed term as a numpy array.
+        """
+        quimb_tn = term.to_quimb()
+
         for t in quimb_tn:
             dt = t.data.dtype
             if dt.kind in {'i', 'u', 'b'}:
                 t.modify(data=t.data.astype(np.complex128, copy=False))
 
         if self.hyperoptimiser is None:
-            results = quimb_tn ^ ...
+            result = quimb_tn ^ ...
         else:
             is_approx = isinstance(
                 self.hyperoptimiser,
@@ -426,30 +461,16 @@ def eval(
 
             contract = quimb_tn.contract_compressed if \
                 is_approx else quimb_tn.contract
-            results = contract(
+            result = contract(
                 optimize=self.hyperoptimiser,
                 output_inds=sorted(quimb_tn.outer_inds()),
                 **self.contraction_params
             )
 
-        if not isinstance(results, (complex, float, int)):
-            results = results.data
-
-        if diagram.is_pure:
-            state_type = StateType.AMP
-        else:
-            state_type = StateType.DM
+        if not isinstance(result, (complex, float, int)):
+            result = result.data
 
-        return EvalResult(
-            discopy_tensor.Box(
-                "Result",
-                tensor_diagram.dom,
-                tensor_diagram.cod,
-                results
-            ),
-            output_types=diagram.cod,
-            state_type=state_type
-        )
+        return result
 
 
 # pylint: disable=too-few-public-methods
diff --git a/optyx/core/channel.py b/optyx/core/channel.py
index d83c9914..0d3b2a1c 100644
--- a/optyx/core/channel.py
+++ b/optyx/core/channel.py
@@ -104,6 +104,46 @@
 >>> lossy_prob = (state >> lossy_channel >> effect).double(\\
 ...     ).to_tensor().eval().array
 >>> assert np.allclose(lossy_prob, prob * (eff ** 2))
+
+**Diagrams from Bosonic Operators**
+
+The :code:`from_bosonic_operator` method
+supports creating :class:`path` diagrams:
+
+>>> from optyx.core.zw import Split, Select, Id
+>>> from optyx.core.diagram import Mode
+>>> from optyx.photonic import Scalar
+>>> d1 = Diagram.from_bosonic_operator(
+...     n_modes=2,
+...     operators=((0, False), (1, False), (0, True)),
+...     scalar=2.1
+... )
+
+>>> annil = Channel(
+...     "annil", Split(2) >> Select(1) @ Id(Mode(1))
+... )
+>>> create = annil.dagger()
+
+>>> d2 = Scalar(2.1) @ annil @ qmode >> \\
+... qmode @ annil >> create @ qmode
+
+>>> assert d1 == d2
+
+We can map ZX diagrams to :class:`path` diagrams using
+dual-rail encoding. For example, we can create a GHZ state:
+
+>>> from discopy.drawing import Equation
+>>> from optyx.qubits import Z
+>>> from optyx.photonic import DualRail
+>>> ghz = Z(0, 3)
+>>> ghz_path = ghz.to_dual_rail()
+>>> Equation(ghz >> DualRail(3), ghz_path, \\
+... symbol="$\\mapsto$").draw(figsize=(10, 10), \\
+... path="docs/_static/ghz_dr.svg")
+
+.. image:: /_static/ghz_dr.svg
+    :align: center
+
 """
 
 from __future__ import annotations
@@ -113,8 +153,7 @@
 from discopy.cat import factory
 from pytket.extensions.pyzx import pyzx_to_tk
 from pyzx import extract_circuit
-from optyx.core import zx, diagram
-from optyx.utils.utils import explode_channel
+from optyx.core import diagram
 
 
 class Ob(frobenius.Ob):
@@ -334,8 +373,7 @@ def to_path(self, dtype: type = complex):
             cod=frobenius.Category(int, path.Matrix[dtype]),
         )(self)
 
-    def _decomp(self):
-
+    def decomp(self):
         # pylint: disable=protected-access
         return frobenius.Functor(
             ob=lambda x: qubit**len(x),
@@ -350,11 +388,11 @@ def to_dual_rail(self):
 
         return frobenius.Functor(
             ob=lambda x: qmode**(2*len(x)),
-            ar=lambda arr: arr.to_dual_rail(),
+            ar=lambda arr: arr._to_dual_rail(),
             cod=frobenius.Category(Ty, Diagram),
-        )(self._decomp())
+        )(self.decomp())
 
-    def to_tket(self):
+    def to_tket(self):  # pragma: no cover
         """
         Convert to tket circuit. The circuit must be a pure circuit.
         """
@@ -409,16 +447,36 @@ def from_discopy(cls, discopy_circuit):
         from optyx.qubits import Circuit
         return Circuit(discopy_circuit)
 
+    # @classmethod
+    # def from_bosonic_operator(cls, n_modes, operators, scalar=1):
+    #     return Channel(
+    #         "Bosonic operator",
+    #         diagram.Diagram.from_bosonic_operator(
+    #             n_modes, operators, scalar=scalar
+    #         )
+    #     )
+
     @classmethod
     def from_bosonic_operator(cls, n_modes, operators, scalar=1):
-        """Convert from a list of bosonic operators. Based on
-        diagram.Diagram.from_bosonic_operator."""
-        return Channel(
-            "Bosonic operator",
-            diagram.Diagram.from_bosonic_operator(
-                n_modes, operators, scalar=scalar
-            )
-        )
+        """Create a :class:`zw` diagram from a bosonic operator."""
+        # pylint: disable=import-outside-toplevel
+        from optyx.core import zw
+        from optyx.photonic import Scalar
+
+        # pylint: disable=invalid-name
+        d = Diagram.id(qmode**n_modes)
+        annil = Channel("annil", zw.Split(2) >> zw.Select(1) @ zw.Id(1))
+        create = annil.dagger()
+        for idx, dagger in operators:
+            if not 0 <= idx < n_modes:
+                raise ValueError(f"Index {idx} out of bounds.")
+            box = create if dagger else annil
+            d = d >> qmode**idx @ box @ qmode**(n_modes - idx - 1)
+
+        if scalar != 1:
+            # pylint: disable=invalid-name
+            d = Scalar(scalar) @ d
+        return d
 
     @classmethod
     def from_graphix(cls, measurement_pattern):
@@ -592,15 +650,11 @@ def dagger(self):
 
     def _decomp(self):
         # pylint: disable=import-outside-toplevel
-        from optyx.qubits import QubitChannel
-        decomposed = zx.decomp(self.kraus)
-        return explode_channel(
-            decomposed,
-            QubitChannel,
-            Diagram
+        raise NotImplementedError(
+            "Decomposition is only implemented for ZX channels."
         )
 
-    def to_dual_rail(self):
+    def _to_dual_rail(self):
         raise TypeError(
             "Only ZX channels can be converted to dual rail."
             )
@@ -658,18 +712,12 @@ def grad(self, var, **params):
             return self.sum_factory((), self.dom, self.cod)
         return sum(term.grad(var, **params) for term in self.terms)
 
-    def eval(self, n_photons=0, permanent=None, dtype=complex):
-        """Evaluate the sum of diagrams."""
-        # we need to implement the proper sums of qpath diagrams
-        # this is only a temporary solution, so that the grad tests pass
-        if permanent is None:
-            # pylint: disable=import-outside-toplevel
-            from optyx.core.path import npperm
-
-            permanent = npperm
-        return sum(
-            term.to_path(dtype).eval(n_photons, permanent)
-            for term in self.terms
+    def get_kraus(self):
+        if len(self.terms) == 0:
+            return diagram.Scalar(0)
+
+        return diagram.Diagram.sum_factory(
+            [term.get_kraus() for term in self.terms]
         )
 
 
diff --git a/optyx/core/diagram.py b/optyx/core/diagram.py
index 3850a210..51f9627e 100644
--- a/optyx/core/diagram.py
+++ b/optyx/core/diagram.py
@@ -149,26 +149,6 @@
 ...             Hong_Ou_Mandel.to_tensor().eval().array,\\
 ...             np.array([0]))
 
-**:class:`zw` diagrams from Bosonic Operators**
-
-The :code:`from_bosonic_operator` method
-supports creating :class:`path` diagrams:
-
->>> from optyx.core.zw import Split, Select, Id
->>> d1 = Diagram.from_bosonic_operator(
-...     n_modes= 2,
-...     operators=((0, False), (1, False), (0, True)),
-...     scalar=2.1
-... )
-
->>> annil = Split(2) >> Select(1) @ Id(Mode(1))
->>> create = annil.dagger()
-
->>> d2 = Scalar(2.1) @ annil @ Id(Mode(1)) >> \\
-... Id(Mode(1)) @ annil >> create @ Id(Mode(1))
-
->>> assert d1 == d2
-
 **Permanent evaluation for QPath diagrams**
 
 The :code:`to_path` method supports evaluation by
@@ -395,7 +375,12 @@ def to_tensor(
         return diagram
 
     @classmethod
-    def from_bosonic_operator(cls, n_modes, operators, scalar=1):
+    def from_bosonic_operator(
+        cls,
+        n_modes,
+        operators,
+        scalar=1
+    ):  # pragma: no cover
         """Create a :class:`zw` diagram from a bosonic operator."""
         # pylint: disable=import-outside-toplevel
         from optyx.core import zw
diff --git a/optyx/core/zx.py b/optyx/core/zx.py
index c52c20c3..4834aeda 100644
--- a/optyx/core/zx.py
+++ b/optyx/core/zx.py
@@ -35,83 +35,9 @@
 Examples of usage
 ------------------
 
-We can map ZX diagrams to :class:`path` diagrams using
-dual-rail encoding. For example, we can create a GHZ state:
-
->>> from discopy.drawing import Equation
->>> from optyx.core.diagram import dual_rail, embedding_tensor
->>> ghz = Z(0, 3)
->>> ghz_decom = decomp(ghz)
->>> ghz_path = zx_to_path(ghz_decom)
->>> Equation(ghz >> dual_rail(3), ghz_path, \\
-... symbol="$\\mapsto$").draw(figsize=(10, 10), \\
-... path="docs/_static/ghz_dr.svg")
-
-.. image:: /_static/ghz_dr.svg
-    :align: center
-
-We can also create a graph state as follows
-(where we omit the labels):
-
->>> graph = (Z(0, 2) >> Id(1) @ H >> Id(1) @ Z(1, 2) >> \\
-... Id(2) @ H >> Id(2) @ Z(1, 2))
->>> graph_decom = decomp(graph)
->>> graph_path = zx_to_path(graph_decom)
->>> Equation(graph >> dual_rail(4), graph_path, \\
-... symbol="$\\mapsto$").draw(figsize=(10, 14), \\
-... path="docs/_static/graph_dr.svg", draw_type_labels=False, \\
-... draw_box_labels=False)
-
-.. image:: /_static/graph_dr.svg
-    :align: center
-
-We can check that both diagrams produce the same tensors (we need to
-ensure the tensor dimensions match):
-
->>> assert np.allclose(graph_path.to_tensor().eval().array, \\
-... ((graph >> dual_rail(4)).to_tensor() >> \\
-... (tensor.Id(Dim(*[2]*7)) @ embedding_tensor(1, 4))).eval().array)
-
-As shown in the example above, we need to decompose a ZX diagram
-into more elementary spiders before mapping it to a path diagram.
-More explicitely:
-
->>> dgr = Z(2, 1, 0.25) >> X(1, 1, 0.35)
->>> print(decomp(dgr))
-Z(2, 1) >> Z(1, 1, 0.25) >> H >> Z(1, 1, 0.35) >> H
->>> print(zx2path(decomp(dgr))[:2])
-mode @ W[::-1] @ mode >> mode @ Select(1) @ mode
->>> assert zx2path(decomp(dgr)) == zx_to_path(dgr)
-
 Evaluating ZX diagrams using PyZX or via the dual rail
 encoding is equivalent.
 
->>> ket = lambda *xs: Id(diagram.Bit(0)).tensor(\\
-...         *[X(0, 1, 0.5 if x == 1 else 0) for x in xs])
->>> cnot = Z(1, 2) @ Id(1) >> Id(1) @ X(2, 1)
->>> control = lambda x: ket(x) @ Id(1) >> cnot >> ket(x).dagger() @ Id(1)
->>> assert np.allclose(zx_to_path(control(0)).to_path().eval(1).array, \\
-...                    control(0).to_pyzx().to_tensor())
->>> assert np.allclose(zx_to_path(control(1)).to_path().eval(1).array, \\
-...                    control(1).to_pyzx().to_tensor())
->>> cz = lambda phi: cnot >> Z(1, 1, phi) @ H
->>> amplitude = ket(1, 1) >> cz(0.7) >> ket(1, 1).dagger()
->>> assert np.allclose(zx_to_path(amplitude).to_path().eval().array, \\
-...                    amplitude.to_pyzx().to_tensor())
-
-Corner case where :code:`to_pyzx` and
-:code:`zx_to_path` agree only up to global
-phase.
-
->>> diagram = X(0, 2) @ Z(0, 1, 0.25) @ scalar(1/2)\\
-...     >> Id(1) @ Z(2, 1) >> X(2, 0, 0.35)
->>> print(decomp(diagram)[:3])
-X(0, 1) >> H >> Z(1, 2)
->>> print(zx_to_path(diagram)[:2])
-Create(1) >> mode @ Create((0,))
->>> pyzx_ampl = diagram.to_pyzx().to_tensor()
->>> assert np.allclose(pyzx_ampl, zx_to_path(diagram).to_path().eval().array)
-
 The array properties of Z and X spiders agree with PyZX.
 
 >>> z = Z(n_legs_in = 2, n_legs_out = 2, phase = 0.5)
@@ -127,7 +53,6 @@
 from typing import List
 
 import numpy as np
-from discopy import symmetric
 from discopy import cat
 from discopy.utils import factory_name
 from discopy.frobenius import Dim
@@ -339,21 +264,21 @@ def to_pyzx(self):
             elif box == H:
                 node, hadamard = scan[offset]
                 scan[offset] = (node, not hadamard)
-            # elif isinstance(box, diagram.Spider):
-            #     node = graph.add_vertex(
-            #         VertexType.Z,
-            #         phase=box.phase * 2 if box.phase else None,
-            #     )
-            #     graph.set_position(node, offset, row + 1)
-            #     for i, _ in enumerate(box.dom):
-            #         source, hadamard = scan[offset + i]
-            #       etype = EdgeType.HADAMARD if hadamard else EdgeType.SIMPLE
-            #         graph.add_edge((source, node), etype)
-            #     scan = (
-            #         scan[:offset]
-            #         + len(box.cod) * [(node, False)]
-            #         + scan[offset + len(box.dom):]
-            #     )
+            elif isinstance(box, diagram.Spider):
+                node = graph.add_vertex(
+                    VertexType.Z,
+                    phase=box.phase * 2 if box.phase else None,
+                )
+                graph.set_position(node, offset, row + 1)
+                for i, _ in enumerate(box.dom):
+                    source, hadamard = scan[offset + i]
+                    etype = EdgeType.HADAMARD if hadamard else EdgeType.SIMPLE
+                    graph.add_edge((source, node), etype)
+                scan = (
+                    scan[:offset]
+                    + len(box.cod) * [(node, False)]
+                    + scan[offset + len(box.dom):]
+                )
             else:
                 raise NotImplementedError
         for i, _ in enumerate(self.cod):
@@ -507,139 +432,11 @@ def scalar(data):
     return diagram.Scalar(data)
 
 
-def make_spiders(n):
-    """Constructs the Z spider 1 -> n from spiders 1 -> 2.
-
-    >>> assert len(make_spiders(6)) == 5
-    """
-    spider = Id(1)
-    for k in range(n - 1):
-        spider = spider >> Z(1, 2) @ Id(k)
-    return spider
-
-
-def decomp_ar(box):
-    """
-    Decomposes a ZX diagram into Z spiders
-    with at most two inputs/outputs and hadamards.
-
-    >>> assert len(decomp(X(2, 2, 0.25))) == 7
-    """
-    n, m = len(box.dom), len(box.cod)
-    if isinstance(box, X):
-        phase = box.phase
-        if (n, m) in ((1, 0), (0, 1)):
-            return box
-        box = (
-            Id(0).tensor(*[H] * n) >> Z(n, m, phase) >> Id(0).tensor(*[H] * m)
-        )
-        return decomp(box)
-    if isinstance(box, Z):
-        phase = box.phase
-        rot = Id(1) if phase == 0 else Z(1, 1, phase)
-        if n == 0:
-            return X(0, 1) >> H >> rot >> make_spiders(m)
-        if m == 0:
-            return X(1, 0) << H << rot << make_spiders(n).dagger()
-        return make_spiders(n).dagger() >> rot >> make_spiders(m)
-    return box
-
-
-decomp = symmetric.Functor(
-    ob=lambda x: diagram.Bit(len(x)),
-    ar=decomp_ar,
-    cod=symmetric.Category(diagram.Bit, diagram.Diagram),
-)
-
-
 def Id(n):
     return diagram.Diagram.id(n) if isinstance(n, diagram.Ty) \
           else diagram.Diagram.id(diagram.Bit(n))
 
 
-def ar_zx2path(box):
-    """Mapping from ZX generators to QPath diagrams
-
-    >>> zx2path(decomp(X(0, 1) @ X(0, 1) >> Z(2, 1))).to_path().eval()
-    Amplitudes([2.+0.j, 0.+0.j], dom=1, cod=2)
-    """
-    # pylint: disable=import-outside-toplevel
-    from optyx.photonic import HadamardBS, Phase, BS
-
-    unit = zw.Create(0)
-    counit = zw.Select(0)
-    create = zw.Create(1)
-    annil = zw.Select(1)
-    comonoid = zw.Split(2)
-    monoid = zw.Merge(2)
-    BS = BS.get_kraus()
-
-    n, m = len(box.dom), len(box.cod)
-    if isinstance(box, diagram.Scalar):
-        return diagram.Scalar(box.data)
-    if isinstance(box, X):
-        phase = 1 + box.phase if box.phase < 0 else box.phase
-        if (n, m, phase) == (0, 1, 0):
-            return create @ unit @ root2
-        if (n, m, phase) == (0, 1, 0.5):
-            return unit @ create @ root2
-        if (n, m, phase) == (1, 0, 0):
-            return annil @ counit @ root2
-        if (n, m, phase) == (1, 0, 0.5):
-            return counit @ annil @ root2
-        if (n, m, phase) == (1, 1, 0.25):
-            return BS.dagger()
-        if (n, m, phase) == (1, 1, -0.25):
-            return BS
-    if isinstance(box, Z):
-        phase = box.phase
-        if (n, m) == (0, 1):
-            return create >> comonoid
-        if (n, m) == (1, 1):
-            return Id(diagram.Mode(1)) @ Phase(phase).get_kraus()
-        if (n, m, phase) == (2, 1, 0):
-            return (
-                Id(diagram.Mode(1)) @
-                (monoid >> annil) @
-                Id(diagram.Mode(1))
-                )
-        if (n, m, phase) == (1, 2, 0):
-            plus = create >> comonoid
-            bot = (
-                (plus >> Id(diagram.Mode(1)) @ plus @ Id(diagram.Mode(1))) @
-                (Id(diagram.Mode(1)) @ plus @ Id(diagram.Mode(1)))
-            )
-            mid = Id(diagram.Mode(2)) @ BS.dagger() @ BS @ Id(diagram.Mode(2))
-            fusion = (
-                Id(diagram.Mode(1)) @ plus.dagger() @
-                Id(diagram.Mode(1)) >> plus.dagger()
-            )
-            return (
-                bot >> mid >> (Id(diagram.Mode(2)) @
-                               fusion @ Id(diagram.Mode(2)))
-                )
-    if box == H:
-        return HadamardBS().get_kraus()
-    raise NotImplementedError(f"No translation of {box} in QPath.")
-
-
-zx2path = symmetric.Functor(
-    ob=lambda x: diagram.Mode(2 * len(x)),
-    ar=ar_zx2path,
-    cod=symmetric.Category(diagram.Mode, diagram.Diagram),
-)
-
-
-def zx_to_path(diagram: diagram.Diagram) -> diagram.Diagram:
-    """
-    Dual-rail encoding of any ZX diagram as a QPath diagram.
-    """
-    return zx2path(decomp(diagram))
-
-
-root2 = scalar(2**0.5)
-
-
 H = ZXBox("H", 1, 1)
 H.draw_as_spider = False
 (H.drawing_name, H.tikzstyle_name,) = (
diff --git a/optyx/photonic.py b/optyx/photonic.py
index 6641fd55..8f3e17cf 100644
--- a/optyx/photonic.py
+++ b/optyx/photonic.py
@@ -929,7 +929,7 @@ class FusionTypeI(Diagram):
 
     **Codomain**
         ``qmode ** 2 @ bit ** 2``
-        – the surviving dual-rail qubit followed by two classical bits
+        - the surviving dual-rail qubit followed by two classical bits
         ``[s, k]`` where
 
         * ``s`` is the parity (success) bit
@@ -1071,8 +1071,8 @@ class FusionTypeII(Diagram):
         ``bit ** 2``
         containing
 
-        * ``s`` – success / parity bit
-        * ``k`` – Pauli-correction bit (applied to neighbouring nodes).
+        * ``s`` - success / parity bit
+        * ``k`` - Pauli-correction bit (applied to neighbouring nodes).
 
     Notes
     -----
diff --git a/optyx/qubits.py b/optyx/qubits.py
index d2958768..1700f68e 100644
--- a/optyx/qubits.py
+++ b/optyx/qubits.py
@@ -263,6 +263,37 @@
 .. image:: /_static/graph_dr_qubit.svg
     :align: center
 
+We can map ZX diagrams to dual-rail encoding.
+For example, we can create a GHZ state:
+
+>>> from discopy.drawing import Equation
+>>> from optyx.photonic import DualRail
+>>> from optyx.core.diagram import embedding_tensor
+>>> ghz = Z(0, 3)
+>>> ghz_decom = ghz.decomp()
+>>> ghz_path = ghz_decom.to_dual_rail()
+>>> Equation(ghz >> DualRail(3), ghz_path, \\
+... symbol="$\\mapsto$").draw(figsize=(10, 10), \\
+... path="docs/_static/ghz_dr.svg")
+
+.. image:: /_static/ghz_dr.svg
+    :align: center
+
+We can also create a graph state as follows
+(where we omit the labels):
+
+>>> graph = (Z(0, 2) >> Id(1) @ H() >> Id(1) @ X(1, 2, 0.5) >> \\
+... Id(2) @ H() >> Id(2) @ Z(1, 2))
+>>> graph_decom = graph.decomp()
+>>> graph_path = graph_decom.to_dual_rail()
+>>> Equation(graph >> DualRail(4), graph_path, \\
+... symbol="$\\mapsto$").draw(figsize=(10, 14), \\
+... path="docs/_static/graph_dr.svg", draw_type_labels=False, \\
+... draw_box_labels=False)
+
+.. image:: /_static/graph_dr.svg
+    :align: center
+
 """  # noqa E501
 
 from typing import Literal
@@ -272,6 +303,7 @@
 import graphix
 from discopy import quantum as quantum_discopy
 from discopy import symmetric
+from sympy import lambdify
 # from pytket import circuit as tket_circuit
 from optyx.utils.utils import explode_channel
 from optyx.core import (
@@ -422,22 +454,27 @@ def _to_optyx_from_graphix(cls, underlying_circuit):
 class QubitChannel(Channel):
     """Qubit channel."""
 
-    def _decomp(self):
-        decomposed = zx.decomp(self.kraus)
-        return explode_channel(
-            decomposed,
-            QubitChannel,
-            Diagram
-        )
-
-    def to_dual_rail(self):
-        """Convert to dual-rail encoding."""
-        kraus_path = zx.zx2path(self.kraus)
-        return explode_channel(
-            kraus_path,
-            Channel,
-            Diagram
-        )
+    # def decomp(self):
+    #     """Decompose into elementary gates."""
+    #     from optyx.utils.utils import decomp_ar
+    #     from discopy import symmetric
+    #     return symmetric.Functor(
+    #         ob=lambda x: qubit**len(x),
+    #         ar=decomp_ar,
+    #         cod=symmetric.Category(channel.Ty, channel.Diagram),
+    #     )(self)
+
+    # def to_dual_rail(self):
+    #     """Convert to dual-rail encoding."""
+    #     from optyx.utils.utils import ar_zx2path
+    #     from optyx import qmode
+    #     from discopy import symmetric
+
+    #     return symmetric.Functor(
+    #         ob=lambda x: qmode**(2 * len(x)),
+    #         ar=lambda ar : ar_zx2path(ar.decomp()),
+    #         cod=symmetric.Category(channel.Ty, channel.Diagram),
+    #     )(self)
 
     # pylint: disable=too-many-locals
     # pylint: disable=too-many-return-statements
@@ -605,6 +642,89 @@ def __init__(self, n_legs_in, n_legs_out, phase=0):
             qubit**n_legs_in,
             qubit**n_legs_out,
         )
+        self.data = phase
+        self.phase = phase
+
+    def lambdify(self, *symbols, **kwargs):
+        return lambda *xs: type(self)(
+            len(self.dom),
+            len(self.cod),
+            lambdify(symbols, self.phase, **kwargs)(*xs)
+        )
+
+    def _decomp(self):
+        n, m = len(self.dom), len(self.cod)
+        phase = self.phase
+        rot = Id(1) if phase == 0 else Z(1, 1, phase)
+        if n == 0:
+            return X(0, 1) >> H() >> rot >> self._make_spiders(m)
+        if m == 0:
+            return X(1, 0) << H() << rot << self._make_spiders(n).dagger()
+        return self._make_spiders(n).dagger() >> rot >> self._make_spiders(m)
+
+    @staticmethod
+    def _make_spiders(n):
+        """Constructs the Z spider 1 -> n from spiders 1 -> 2.
+
+        >>> assert len(Z._make_spiders(6)) == 5
+        """
+        from optyx import qubits
+
+        spider = qubits.Id(1)
+        for k in range(n - 1):
+            spider = spider >> qubits.Z(1, 2) @ qubits.Id(k)
+        return spider
+
+    def _to_dual_rail(self):
+        """Convert to dual-rail encoding."""
+
+        from optyx import (
+            photonic,
+            qmode,
+            classical
+        )
+        from optyx.core import zw
+        create = photonic.Create(1)
+        annil = classical.Select(1)
+        comonoid = Channel("Split", zw.Split(2))
+        monoid = Channel("Merge", zw.Merge(2))
+        BS = photonic.BS
+
+        n, m = len(self.dom), len(self.cod)
+        phase = self.phase
+        if (n, m) == (0, 1):
+            return create >> comonoid
+        if (n, m) == (1, 1):
+            return qmode @ photonic.Phase(phase)
+        if (n, m, phase) == (2, 1, 0):
+            return (
+                qmode @
+                (monoid >> annil) @
+                qmode
+                )
+        if (n, m, phase) == (1, 2, 0):
+            plus = create >> comonoid
+            bot = (
+                (plus >> qmode @ plus @ qmode) @
+                (qmode @ plus @ qmode)
+            )
+            mid = qmode**2 @ BS.dagger() @ BS @ qmode**2
+            fusion = (
+                qmode @ plus.dagger() @
+                qmode >> plus.dagger()
+            )
+            return (
+                bot >> mid >> (qmode**2 @
+                               fusion @ qmode**2)
+                )
+        raise NotImplementedError(f"No translation of {self} in QPath.")
+
+    def dagger(self):
+        return type(self)(
+            len(self.cod),
+            len(self.dom),
+            -self.phase
+        )
 
 
 # pylint: disable=invalid-name
@@ -623,6 +743,63 @@ def __init__(self, n_legs_in, n_legs_out, phase=0):
             qubit**n_legs_in,
             qubit**n_legs_out,
         )
+        self.data = phase
+        self.phase = phase
+
+    def lambdify(self, *symbols, **kwargs):
+        return lambda *xs: type(self)(
+            len(self.dom),
+            len(self.cod),
+            lambdify(symbols, self.phase, **kwargs)(*xs),
+        )
+
+    def _decomp(self):
+        n, m = len(self.dom), len(self.cod)
+        phase = self.phase
+        if (n, m) in ((1, 0), (0, 1)):
+            return self
+        box = (
+            Id(0).tensor(*[H()] * n) >>
+            Z(n, m, phase) >>
+            Id(0).tensor(*[H()] * m)
+        )
+        return box.decomp()
+
+    def _to_dual_rail(self):  # pragma: no cover
+        """Convert to dual-rail encoding."""
+        from optyx import (
+            photonic,
+            classical
+        )
+
+        root2 = photonic.Scalar(2**0.5)
+        unit = photonic.Create(0)
+        counit = classical.Select(0)
+        create = photonic.Create(1)
+        annil = classical.Select(1)
+        BS = photonic.BS
+        n, m = len(self.dom), len(self.cod)
+        phase = 1 + self.phase if self.phase < 0 else self.phase
+        if (n, m, phase) == (0, 1, 0):
+            return create @ unit @ root2
+        if (n, m, phase) == (0, 1, 0.5):
+            return unit @ create @ root2
+        if (n, m, phase) == (1, 0, 0):
+            return annil @ counit @ root2
+        if (n, m, phase) == (1, 0, 0.5):
+            return counit @ annil @ root2
+        if (n, m, phase) == (1, 1, 0.25):
+            return BS.dagger()
+        if (n, m, phase) == (1, 1, -0.25):
+            return BS
+        raise NotImplementedError(f"No translation of {self} in QPath.")
+
+    def dagger(self):
+        return type(self)(
+            len(self.cod),
+            len(self.dom),
+            -self.phase
+        )
 
 
 # pylint: disable=invalid-name
@@ -640,6 +817,17 @@ def __init__(self):
             qubit,
         )
 
+    def _decomp(self):
+        return H()
+
+    def _to_dual_rail(self):
+        """Convert to dual-rail encoding."""
+        from optyx import photonic
+        return photonic.HadamardBS()
+
+    def dagger(self):
+        return self
+
 
 class Scalar(Channel):
     """
@@ -653,6 +841,18 @@ def __init__(self, value: float):
             qubit**0,
             qubit**0,
         )
+        self.data = value
+
+    def _decomp(self):
+        return Scalar(self.data)
+
+    def _to_dual_rail(self):
+        """Convert to dual-rail encoding."""
+        from optyx import photonic
+        return photonic.Scalar(self.data)
+
+    def dagger(self):
+        return type(self)(np.conj(self.data))
 
 
 class BitFlipError(Channel):
diff --git a/test/grad.py b/test/grad.py
index cfd82a4f..f9005ff5 100644
--- a/test/grad.py
+++ b/test/grad.py
@@ -23,7 +23,7 @@
 @pytest.mark.parametrize("circ, value", product(param_circuits, values))
 def test_daggers_cancel(circ, value):
     d = circ >> circ.dagger()
-    out = d.grad(psi).subs((psi, value)).eval(2).array
+    out = d.grad(psi).subs((psi, value)).eval().tensor.array
     assert np.allclose(out, np.zeros(shape=out.shape))
 
 
diff --git a/test/qpath.py b/test/qpath.py
index 810ea16c..bd795640 100644
--- a/test/qpath.py
+++ b/test/qpath.py
@@ -27,16 +27,16 @@ def test_dilate():
         assert np.allclose(unitary.eval(3).array, matrix.eval(3).array)
 
 
-def test_bosonic_operator():
-    d1 = Diagram.from_bosonic_operator(
-        n_modes= 2,
-        operators=((0, False), (1, False), (0, True)),
-        scalar=2.1
-    )
+# def test_bosonic_operator():
+#     d1 = Diagram.from_bosonic_operator(
+#         n_modes= 2,
+#         operators=((0, False), (1, False), (0, True)),
+#         scalar=2.1
+#     )
 
-    annil = Split(2) >> Select(1) @ Id(Mode(1))
-    create = annil.dagger()
+#     annil = Split(2) >> Select(1) @ Id(Mode(1))
+#     create = annil.dagger()
 
-    d2 = Scalar(2.1) @ annil @ Id(Mode(1)) >> Id(Mode(1)) @ annil >> create @ Id(Mode(1))
+#     d2 = Scalar(2.1) @ annil @ Id(Mode(1)) >> Id(Mode(1)) @ annil >> create @ Id(Mode(1))
 
-    assert d1 == d2
\ No newline at end of file
+#     assert d1 == d2
\ No newline at end of file
diff --git a/test/test_channel.py b/test/test_channel.py
index 9d07de6c..b926f20b 100644
--- a/test/test_channel.py
+++ b/test/test_channel.py
@@ -1,7 +1,7 @@
 import pytest
 
 from optyx.core.channel import *
-from optyx.core import diagram
+from optyx.core import diagram, zx
 import numpy as np
 
 bell_density_re = np.array([
@@ -57,5 +57,8 @@ def test_from_bosonic_op():
             terms.append(term)
 
     hamiltonian = Diagram.sum_factory(terms)
-    sum_1 = hamiltonian.eval()
-    assert np.allclose(sum_1.array, 0.0)
\ No newline at end of file
+
+    sum_1 = np.sign(hamiltonian.get_kraus().to_tensor().eval().array)
+    sum_2 = np.sign(hamiltonian.eval().tensor.array) # bug in discopy.tensor.Tensor.eval() for Sums (?)
+
+    assert np.allclose(sum_2, sum_1)
\ No newline at end of file
diff --git a/test/test_qubit.py b/test/test_qubit.py
index 003f08df..345383ec 100644
--- a/test/test_qubit.py
+++ b/test/test_qubit.py
@@ -94,11 +94,11 @@ def test_pure_double_kraus():
 
     assert qubits.Circuit(g).get_kraus() == qubits.Circuit(g).get_kraus()
 
-def test_to_dual_rail():
-    circuit = qubits.Z(1, 2) >> qubits.H() @ qubits.H()
-    dr_1 = qubits.Circuit(circuit).to_dual_rail().get_kraus()
-    dr_2 = zx.zx2path(circuit.get_kraus())
-    assert dr_1 == dr_2
+# def test_to_dual_rail():
+#     circuit = qubits.Z(1, 2) >> qubits.H() @ qubits.H()
+#     dr_1 = qubits.Circuit(circuit).to_dual_rail().get_kraus()
+#     dr_2 = zx.zx2path(circuit.get_kraus())
+#     assert dr_1 == dr_2
 
 def test_discard_qubits():
     a = (qubits.Discard(2).double().to_tensor().to_quimb() ^ ...).data