From 7d644d9e6277a710d328853fcfeaefb120e264af Mon Sep 17 00:00:00 2001 From: GrovyleX Date: Wed, 10 Jun 2026 02:26:37 +0530 Subject: [PATCH 1/5] Add `XZCorrections.to_pauli_flow` and `Pattern.extract_pauli_flow` (#432) Reconstruct a Pauli flow from XZ-corrections, the analogue of the existing `XZCorrections.to_causal_flow` / `to_gflow`, with the convenience method `Pattern.extract_pauli_flow` (analogous to `extract_causal_flow` / `extract_gflow`). The flow is reconstructed from the pattern's corrections rather than from the underlying open graph, whose Pauli flow is not unique and need not generate the pattern. Handling the anachronical corrections (the crux of the issue) ------------------------------------------------------------- Unlike for a gflow, a Pauli flow's correction function cannot be read off the corrections. Anachronical corrections -- corrections targeting X/Y Pauli-measured nodes in the present or past of the corrected node -- are absorbed by the measurement (M^X X = M^X, M^Y Y = M^Y, M^Z Z = M^Z) and never appear in the pattern (compare the patterns of Theorem 2 and Theorem 4 in Browne et al. 2007). `PauliFlow.to_corrections` discards them via the `correcting_set & future` filter, so they must be reconstructed. For each measured node this is cast as a linear system over GF(2): - the future part of the correcting set is fixed by the observed X-corrections; - the free variables are the anachronical candidates -- non-future nodes measured along the X or Y axis, the only ones admitted in a correcting set by (P1) -- plus the node itself where the local proposition allows it; - the equations encode the odd-neighbourhood constraints: the Z-corrections on the future nodes, (P2) and (P3) on the past nodes, and (P4)-(P9) on the node. The system is reduced with `MatGF2.gauss_elimination` and solved with the existing `solve_f2_linear_system`. An unsolvable node means no Pauli flow induces the corrections and raises `FlowGenericError(NoCompatiblePauliFlow)`. The resulting flow is validated with `PauliFlow.check_well_formed`, which also rejects partial orders that admit no flow. Tests verify well-formedness and the round trip `flow -> to_corrections -> to_pauli_flow -> to_corrections` on the existing causal / gflow / Pauli fixtures, the `Pattern.extract_pauli_flow` path, explicit recovery of anachronical correctors, and the infeasible and malformed cases. Passes ruff, mypy --strict, pyright and pytest. Developed with LLM assistance (Claude): the GF(2) reduction of the Pauli-flow propositions and the implementation were drafted with the model, then verified by hand against the reference and validated with round-trip and simulation-equivalence tests. --- CHANGELOG.md | 2 + docs/source/modifier.rst | 2 + graphix/flow/core.py | 274 +++++++++++++++++++++++++++++++++++++ graphix/flow/exceptions.py | 5 + graphix/pattern.py | 28 ++++ tests/test_flow_core.py | 167 ++++++++++++++++++++++ 6 files changed, 478 insertions(+) diff --git a/CHANGELOG.md b/CHANGELOG.md index ca9380e82..24a81c35f 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -23,6 +23,8 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 - Added new attribute `OpenGraph.output_cliffords` - Added `clifford` abstract method to `AbstractMeasurement`. Implemented it for `Plane` and `Axis`. +- #432: Added new methods `XZCorrections.to_pauli_flow` and `Pattern.extract_pauli_flow`, which reconstruct a Pauli flow from XZ-corrections. The reconstruction recovers the anachronical corrections that are absorbed by Pauli measurements and therefore absent from the pattern. + ### Fixed - #454, #481: Ensure `Pattern.minimize_space` only reduces max-space and does not increase it. diff --git a/docs/source/modifier.rst b/docs/source/modifier.rst index 4fe4f5727..f1e87e09f 100644 --- a/docs/source/modifier.rst +++ b/docs/source/modifier.rst @@ -56,6 +56,8 @@ Pattern Manipulation .. automethod:: extract_gflow + .. automethod:: extract_pauli_flow + .. automethod:: extract_opengraph .. automethod:: extract_measurement_commands diff --git a/graphix/flow/core.py b/graphix/flow/core.py index fa674c3fd..58979647c 100644 --- a/graphix/flow/core.py +++ b/graphix/flow/core.py @@ -11,10 +11,12 @@ from typing import TYPE_CHECKING, Generic, TypeVar import networkx as nx +import numpy as np # `override` introduced in Python 3.12, `assert_never` introduced in Python 3.11 from typing_extensions import assert_never, override +from graphix._linalg import MatGF2, solve_f2_linear_system from graphix.circ_ext.extraction import ( CliffordMap, ExtractionResult, @@ -266,6 +268,55 @@ def to_gflow(self: XZCorrections[_PM_co]) -> GFlow[_PM_co]: gf.check_well_formed() # Raises a `FlowError` if the partial order and the correction function are not compatible. return gf + def to_pauli_flow(self) -> PauliFlow[_AM_co]: + r"""Extract a Pauli flow from XZ-corrections. + + Contrary to :meth:`to_causal_flow` and :meth:`to_gflow`, the correction function of a + Pauli flow cannot be read off the XZ-corrections directly. Corrections applied to + Pauli-measured qubits in the past or the present of the corrected node ("anachronical" + corrections) are absorbed by the measurement (:math:`M^X X = M^X`, :math:`M^Y Y = M^Y` + and :math:`M^Z Z = M^Z`) and therefore leave no trace in the pattern; compare the + pattern of Theorem 2 (gflow), where the corrections coincide with the correction + function, with that of Theorem 4 (Pauli flow), where only the future part + :math:`p(i) \cap \{j : j > i\}` of each correcting set appears (Ref. [1]). + + The reconstruction is performed node by node. For a measured node :math:`i`, the future + part of the correcting set is fixed by the X-corrections, and the anachronical part is + recovered by solving the linear system over :math:`\mathbb{F}_2` whose equations are the + Pauli-flow conditions (P1)-(P9) together with the requirement that the induced + XZ-corrections match ``self`` (i.e. :math:`Odd(p(i)) \cap \{j : j > i\}` equals the + Z-corrections of :math:`i`). The resulting flow is then validated with + :meth:`PauliFlow.check_well_formed`. + + Returns + ------- + PauliFlow[_AM_co] + + Raises + ------ + FlowError + If the XZ-corrections are not induced by any Pauli flow, or if the partial order is + incompatible with the reconstructed correction function. + + Notes + ----- + See Definition 5 and Theorem 4 in Ref. [1]. The induced corrections are recovered by + :meth:`PauliFlow.to_corrections`, which is the left inverse of this method on + XZ-corrections extracted from a Pauli flow. + + References + ---------- + [1] Browne et al., 2007 New J. Phys. 9 250 (arXiv:quant-ph/0702212). + """ + correction_function = _reconstruct_pauli_correction_function(self) + pf = PauliFlow(self.og, correction_function, self.partial_order_layers) + # The reconstruction enforces propositions (P1)-(P9) by construction, but `check_well_formed` + # additionally validates the user-supplied partial order: it rejects, for instance, + # XZ-corrections without output nodes (which admit no flow) or a partial order that does not + # cover every measured node. It raises a `FlowError` in those cases. + pf.check_well_formed() + return pf + def to_bloch(self: XZCorrections[Measurement]) -> XZCorrections[BlochMeasurement]: """Return the XZ-corrections where all measurements in the open graph are converted to Bloch. @@ -1391,3 +1442,226 @@ def _check_flow_general_properties(flow: PauliFlow[_AM_co]) -> None: o_set = set(flow.og.output_nodes) if first_layer != o_set or not first_layer: raise PartialOrderLayerError(PartialOrderLayerErrorReason.FirstLayer, layer_index=0, layer=first_layer) + + +def _solve_f2(rows: list[tuple[set[int], int]], n_vars: int) -> list[int] | None: + """Return one solution of a linear system over GF(2), or ``None`` if it is inconsistent. + + The equations are assembled into an augmented matrix ``[A | b]`` which is reduced to row + echelon form with :meth:`graphix._linalg.MatGF2.gauss_elimination` and solved with + :func:`graphix._linalg.solve_f2_linear_system`. A row that is zero on the coefficient side but + non-zero on the constant side witnesses an inconsistent system. + + Parameters + ---------- + rows : list[tuple[set[int], int]] + Each equation is a pair ``(coefficients, rhs)`` where ``coefficients`` is the set of + variable indices whose coefficient is ``1`` and ``rhs`` is the right-hand-side bit. + n_vars : int + Number of variables. + + Returns + ------- + list[int] | None + A solution vector of length ``n_vars`` (free variables set to ``0``), or ``None`` if the + system is inconsistent. + """ + if n_vars == 0: + # No variables: the system is consistent if and only if every constant vanishes. + return [] if all(rhs % 2 == 0 for _, rhs in rows) else None + # With at least one variable there is always at least one equation (each free variable is + # constrained by a self, (P2) or (P3) proposition), so the augmented matrix is never empty. + augmented = np.zeros((len(rows), n_vars + 1), dtype=np.uint8) + for i, (coefficients, rhs) in enumerate(rows): + for j in coefficients: + augmented[i, j] = 1 + augmented[i, n_vars] = rhs & 1 + reduced = augmented.view(MatGF2).gauss_elimination(ncols=n_vars, copy=True) + coefficients_block = np.asarray(reduced[:, :n_vars]) + constants_block = np.asarray(reduced[:, n_vars]) + if (constants_block.astype(bool) & ~coefficients_block.any(axis=1)).any(): + return None + solution = solve_f2_linear_system(MatGF2(coefficients_block), MatGF2(constants_block)) + return [int(bit) for bit in solution] + + +def _odd_neighbourhood_equation( + graph: nx.Graph[int], + inputs: AbstractSet[int], + free_index: Mapping[int, int], + fixed: Mapping[int, int], + target: int, +) -> tuple[set[int], int]: + r"""Express :math:`target \in Odd(p)` as a linear form over the free membership variables. + + Parameters + ---------- + graph : nx.Graph[int] + Graph of the open graph. + inputs : AbstractSet[int] + Input nodes (never belong to a correcting set). + free_index : Mapping[int, int] + Map from a node with free membership to its variable index. + fixed : Mapping[int, int] + Map from a node with fixed membership to its value (``0`` or ``1``). + target : int + Node whose odd-neighbourhood membership is expressed. + + Returns + ------- + tuple[set[int], int] + ``(coefficients, constant)`` such that ``[target in Odd(p)]`` equals the parity of the + selected free variables XORed with ``constant``. + """ + coefficients: set[int] = set() + constant = 0 + for neighbor in graph.neighbors(target): + if neighbor in free_index: + coefficients ^= {free_index[neighbor]} + elif neighbor not in inputs: + constant ^= fixed[neighbor] + return coefficients, constant + + +def _membership_coefficients(free_index: Mapping[int, int], target: int) -> set[int]: + """Return the coefficients of the membership variable ``[target in p]``. + + This helper is only used for nodes measured along axis Y, which are always free variables + (when non-input) or inputs (which can never be corrected and contribute ``0``). It therefore + never needs to handle a node whose membership is fixed to ``1``. + + Parameters + ---------- + free_index : Mapping[int, int] + Map from a node with free membership to its variable index. + target : int + Node whose membership is expressed. + + Returns + ------- + set[int] + ``{index}`` if ``target`` is a free variable, the empty set otherwise. + """ + index = free_index.get(target) + return set() if index is None else {index} + + +def _reconstruct_pauli_correction_function(xz: XZCorrections[_AM_co]) -> dict[int, frozenset[int]]: + r"""Reconstruct the correction function of a Pauli flow inducing the given XZ-corrections. + + See :meth:`XZCorrections.to_pauli_flow` for the rationale. For every measured node, the + future part of the correcting set is fixed by the X-corrections and the anachronical part is + recovered by solving over :math:`\mathbb{F}_2` the Pauli-flow conditions (P1)-(P9) together + with the constraint that the induced Z-corrections match ``xz``. + + Parameters + ---------- + xz : XZCorrections[_AM_co] + + Returns + ------- + dict[int, frozenset[int]] + The reconstructed correction function. + + Raises + ------ + FlowError + If no Pauli flow induces the XZ-corrections of ``xz``. + + References + ---------- + [1] Browne et al., 2007 New J. Phys. 9 250 (arXiv:quant-ph/0702212). + """ + og = xz.og + graph = og.graph + inputs = set(og.input_nodes) + measurements = og.measurements + layers = xz.partial_order_layers + + # future(node): the nodes lying in strictly earlier-measured layers (i.e. smaller index). + cumulative: list[frozenset[int]] = [] + accumulated: set[int] = set() + for layer in layers: + cumulative.append(frozenset(accumulated)) + accumulated |= set(layer) + layer_of = {node: k for k, layer in enumerate(layers) for node in layer} + + correction_function: dict[int, frozenset[int]] = {} + + for node, measurement in measurements.items(): + if node not in layer_of: + # The partial order does not cover this measured node; the reconstructed correction + # function will be incomplete and rejected by `PauliFlow.check_well_formed`. + continue + label = measurement.to_plane_or_axis() + x_future = xz.x_corrections.get(node, frozenset()) + z_future = xz.z_corrections.get(node, frozenset()) + future = cumulative[layer_of[node]] + + # Membership of each non-input node in p(node): either fixed (0/1) or a free variable. + # (P1) restricts anachronical correctors to nodes measured along the X or Y axes. + fixed: dict[int, int] = {} + free_index: dict[int, int] = {} + for candidate in graph.nodes: + if candidate in inputs: + continue + if candidate in future: + fixed[candidate] = 1 if candidate in x_future else 0 + elif candidate == node: + if label == Plane.XY: # (P4): node ∉ p. + fixed[candidate] = 0 + elif label in {Plane.XZ, Plane.YZ, Axis.Z}: # (P5)/(P6)/(P8): node ∈ p. + fixed[candidate] = 1 + else: # Axis.X or Axis.Y: self-membership is free. + free_index[candidate] = len(free_index) + elif (other := measurements.get(candidate)) is not None and other.to_plane_or_axis() in {Axis.X, Axis.Y}: + free_index[candidate] = len(free_index) + else: + fixed[candidate] = 0 + + rows: list[tuple[set[int], int]] = [] + + # Induced Z-corrections must match: Odd(p(node)) ∩ future = z_future. + for future_node in future: + coefficients, constant = _odd_neighbourhood_equation(graph, inputs, free_index, fixed, future_node) + rows.append((coefficients, (1 if future_node in z_future else 0) ^ constant)) + + # Self conditions on the odd neighbourhood (P4)-(P9). + if label in {Plane.XY, Plane.XZ, Axis.X}: # (P4)/(P5)/(P7): node ∈ Odd(p). + coefficients, constant = _odd_neighbourhood_equation(graph, inputs, free_index, fixed, node) + rows.append((coefficients, 1 ^ constant)) + elif label == Plane.YZ: # (P6): node ∉ Odd(p). + coefficients, constant = _odd_neighbourhood_equation(graph, inputs, free_index, fixed, node) + rows.append((coefficients, constant)) + elif label == Axis.Y: # (P9): exactly one of node ∈ p and node ∈ Odd(p). + coefficients, constant = _odd_neighbourhood_equation(graph, inputs, free_index, fixed, node) + rows.append((coefficients ^ _membership_coefficients(free_index, node), 1 ^ constant)) + # Axis.Z: (P8) only constrains the fixed membership; no condition on the odd neighbourhood. + + # Conditions on the other non-future nodes (P2) and (P3). + for other_node in graph.nodes: + if other_node == node or other_node in future or other_node not in measurements: + continue + other_label = measurements[other_node].to_plane_or_axis() + if other_label in {Plane.XY, Plane.XZ, Plane.YZ, Axis.X}: # (P2): other_node ∉ Odd(p). + coefficients, constant = _odd_neighbourhood_equation(graph, inputs, free_index, fixed, other_node) + rows.append((coefficients, constant)) + elif other_label == Axis.Y: # (P3): other_node ∈ p ⇔ other_node ∈ Odd(p). + coefficients, constant = _odd_neighbourhood_equation(graph, inputs, free_index, fixed, other_node) + rows.append((coefficients ^ _membership_coefficients(free_index, other_node), constant)) + # Axis.Z: no constraint (an anachronical Z-correction is absorbed by the measurement). + + # A measured input node cannot belong to its own correcting set, contradicting (P5)/(P6)/(P8). + if node in inputs and label in {Plane.XZ, Plane.YZ, Axis.Z}: + rows.append((set(), 1)) + + solution = _solve_f2(rows, len(free_index)) + if solution is None: + # The local linear system has no solution: no Pauli flow induces these corrections. + raise FlowGenericError(FlowGenericErrorReason.NoCompatiblePauliFlow) + + correcting_set = {member for member, bit in fixed.items() if bit} + correcting_set |= {member for member, index in free_index.items() if solution[index]} + correction_function[node] = frozenset(correcting_set) + + return correction_function diff --git a/graphix/flow/exceptions.py b/graphix/flow/exceptions.py index 0c76e8f05..2aa1ca8f9 100644 --- a/graphix/flow/exceptions.py +++ b/graphix/flow/exceptions.py @@ -88,6 +88,9 @@ class FlowGenericErrorReason(Enum): XYPlane = enum.auto() "A causal flow is defined on an open graphs with non-XY measurements." + NoCompatiblePauliFlow = enum.auto() + """The XZ-corrections are not induced by any Pauli flow on the open graph.""" + class XZCorrectionsOrderErrorReason(Enum): """Describe the reason of an `XZCorrectionsOrderError` exception.""" @@ -224,6 +227,8 @@ def __str__(self) -> str: return "The image of the correction function must be a subset of non-input nodes (prepared qubits) of the open graph." case FlowGenericErrorReason.XYPlane: return "Causal flow is only defined on open graphs with XY measurements." + case FlowGenericErrorReason.NoCompatiblePauliFlow: + return "The XZ-corrections are not induced by any Pauli flow on the open graph." case _: assert_never(self.reason) diff --git a/graphix/pattern.py b/graphix/pattern.py index bcc18035b..e959e8902 100644 --- a/graphix/pattern.py +++ b/graphix/pattern.py @@ -991,6 +991,34 @@ def extract_gflow(self) -> GFlow[BlochMeasurement]: """ return self.extract_xzcorrections().downcast_bloch().to_gflow() + def extract_pauli_flow(self) -> PauliFlow[Measurement]: + r"""Extract the Pauli flow structure from the current measurement pattern. + + This method does not call the flow-extraction routine on the underlying open graph, but + reconstructs the Pauli flow from the pattern corrections instead (see + :meth:`XZCorrections.to_pauli_flow`). Contrary to :meth:`extract_causal_flow` and + :meth:`extract_gflow`, the measurements are not converted to Bloch measurements, so + measurements along Pauli angles are interpreted as ``Axis`` instances. + + Returns + ------- + PauliFlow[Measurement] + The Pauli flow associated with the current pattern. + + Raises + ------ + FlowError + If the pattern is empty or if the corrections are not induced by any Pauli flow. + ValueError + If `N` commands in the pattern do not represent a :math:`|+\rangle` state or if the pattern corrections form closed loops. + + Notes + ----- + - The notes provided in :func:`self.extract_causal_flow` apply here as well. + - A pattern whose Pauli-basis measurements are represented as :class:`BlochMeasurement` (e.g. ``Measurement.XY(0)``) is interpreted as if measured along a plane. Use :meth:`infer_pauli_measurements` beforehand to recover the most general Pauli flow. + """ + return self.extract_xzcorrections().to_pauli_flow() + def extract_xzcorrections(self) -> XZCorrections[Measurement]: """Extract the XZ-corrections from the current measurement pattern. diff --git a/tests/test_flow_core.py b/tests/test_flow_core.py index 8e722bd93..aa76dcce2 100644 --- a/tests/test_flow_core.py +++ b/tests/test_flow_core.py @@ -399,6 +399,173 @@ def test_flow_to_corrections(self, test_case: XZCorrectionsTestCase) -> None: assert corrections.z_corrections == test_case.z_corr assert corrections.x_corrections == test_case.x_corr + +class TestToPauliFlow: + """Bundle for unit tests of :meth:`XZCorrections.to_pauli_flow` and :meth:`Pattern.extract_pauli_flow`. + + Reconstructing a Pauli flow from XZ-corrections is the inverse of :meth:`PauliFlow.to_corrections`. + The challenge is that anachronical corrections (corrections on Pauli-measured nodes in the past or + present of the corrected node) are absorbed by the measurement and do not appear in the corrections, + so the correction function cannot be read off them directly (compare Theorems 2 and 4 in + Browne et al., 2007 New J. Phys. 9 250). + """ + + @pytest.mark.parametrize("test_case", prepare_test_xzcorrections()) + def test_to_pauli_flow_roundtrip(self, test_case: XZCorrectionsTestCase) -> None: + # A causal flow and a gflow are also Pauli flows, so every test case admits a Pauli flow. + corrections = test_case.flow.to_corrections() + flow = corrections.to_pauli_flow() + flow.check_well_formed() + # The reconstructed flow induces exactly the input corrections. + reconstructed = flow.to_corrections() + assert reconstructed.x_corrections == test_case.x_corr + assert reconstructed.z_corrections == test_case.z_corr + + @pytest.mark.parametrize("test_case", prepare_test_xzcorrections()) + def test_extract_pauli_flow_from_pattern(self, test_case: XZCorrectionsTestCase) -> None: + if test_case.pattern is None: + return + # The hand-written pattern and the fixture flow implement the same unitary but may have + # different partial orders, hence different corrections. The reconstruction must reproduce + # the pattern's own corrections. + expected = test_case.pattern.extract_xzcorrections() + flow = test_case.pattern.extract_pauli_flow() + flow.check_well_formed() + reconstructed = flow.to_corrections() + assert reconstructed.x_corrections == expected.x_corrections + assert reconstructed.z_corrections == expected.z_corrections + + def test_extract_pauli_flow_pauli_only(self) -> None: + """Pattern with a Pauli flow but neither causal flow nor gflow (issue example). + + Open graph structure (SWAP implemented with X-measurements): + + [0]-1-2-(3) + """ + pattern = Pattern( + input_nodes=[0], + cmds=[ + N(1), + N(2), + N(3), + E((0, 1)), + E((1, 2)), + E((2, 3)), + M(0, Measurement.X), + X(3, {0}), + M(1, Measurement.X), + Z(3, {1}), + M(2, Measurement.X), + X(3, {2}), + ], + output_nodes=[3], + ) + # Causal-flow and gflow extraction require planar (Bloch) measurements and therefore reject + # the Pauli (axis) measurements of this open graph. + with pytest.raises(TypeError): + pattern.extract_causal_flow() + with pytest.raises(TypeError): + pattern.extract_gflow() + + flow = pattern.extract_pauli_flow() + flow.check_well_formed() + assert flow.correction_function == {0: frozenset({1, 3}), 1: frozenset({2}), 2: frozenset({3})} + + corrections = pattern.extract_xzcorrections() + reconstructed = flow.to_corrections() + assert reconstructed.x_corrections == corrections.x_corrections + assert reconstructed.z_corrections == corrections.z_corrections + + def test_to_pauli_flow_anachronical_reconstruction(self) -> None: + """Reconstruction recovers anachronical correctors absorbed by Pauli measurements.""" + flow = generate_pauli_flow_1() + flow.check_well_formed() + # The original flow has anachronical correctors, e.g. nodes 2 (X) and 5 (Y) in p(0). + assert {2, 5}.issubset(flow.correction_function[0]) + + corrections = flow.to_corrections() + reconstructed_flow = corrections.to_pauli_flow() + reconstructed_flow.check_well_formed() + + # The reconstruction need not equal the original flow, but it must induce the same corrections. + induced = reconstructed_flow.to_corrections() + assert induced.x_corrections == corrections.x_corrections + assert induced.z_corrections == corrections.z_corrections + + def test_to_pauli_flow_infeasible(self) -> None: + """Corrections not induced by any Pauli flow raise a `FlowGenericError`.""" + og = OpenGraph( + graph=nx.Graph([(0, 1)]), + input_nodes=[0], + output_nodes=[1], + measurements={0: Plane.XY}, + ) + # Node 1 cannot be Z-corrected: 1 is never in the odd neighbourhood of any subset of {1}. + corrections = XZCorrections.from_measured_nodes_mapping(og=og, x_corrections={0: {1}}, z_corrections={0: {1}}) + with pytest.raises(FlowGenericError) as exc_info: + corrections.to_pauli_flow() + assert exc_info.value.reason == FlowGenericErrorReason.NoCompatiblePauliFlow + assert "not induced by any Pauli flow" in str(exc_info.value) + + def test_to_pauli_flow_infeasible_with_anachronical_candidates(self) -> None: + """Infeasibility with a non-trivial GF(2) system (the corrected node has free variables). + + Open graph structure (all X-measured): + + [0]-1-2-(3) + + Node 0 has anachronical candidates 1 and 2 (free variables), but the demanded Z-correction + on 3 forces ``2 in p(0)`` while (P2) forces ``2 not in Odd(p(0))``, i.e. ``2 not in p(0)``. + """ + og = OpenGraph( + graph=nx.Graph([(0, 1), (1, 2), (2, 3)]), + input_nodes=[0], + output_nodes=[3], + measurements=dict.fromkeys([0, 1, 2], Measurement.X), + ) + corrections = XZCorrections( + og=og, + x_corrections={0: frozenset({3})}, + z_corrections={0: frozenset({3})}, + partial_order_layers=[frozenset({3}), frozenset({0, 1, 2})], + ) + with pytest.raises(FlowGenericError) as exc_info: + corrections.to_pauli_flow() + assert exc_info.value.reason == FlowGenericErrorReason.NoCompatiblePauliFlow + + def test_to_pauli_flow_input_measured_along_pauli_axis(self) -> None: + """An input measured along Z must belong to its own correcting set (P8), which is impossible.""" + og = OpenGraph( + graph=nx.Graph([(0, 1)]), + input_nodes=[0], + output_nodes=[1], + measurements={0: Measurement.Z}, + ) + corrections = XZCorrections.from_measured_nodes_mapping(og=og, x_corrections={0: {1}}) + with pytest.raises(FlowGenericError) as exc_info: + corrections.to_pauli_flow() + assert exc_info.value.reason == FlowGenericErrorReason.NoCompatiblePauliFlow + + def test_to_pauli_flow_partial_order_missing_node(self) -> None: + """A partial order that omits a measured node raises a `FlowError`, not a `KeyError`.""" + og = OpenGraph( + graph=nx.Graph([(0, 1)]), + input_nodes=[0], + output_nodes=[1], + measurements={0: Measurement.XY(0.1)}, + ) + # The measured node 0 is missing from the partial order layers, so the reconstructed + # correction function is incomplete and rejected by `check_well_formed`. + corrections = XZCorrections( + og=og, + x_corrections={0: frozenset({1})}, + z_corrections={}, + partial_order_layers=[frozenset({1})], + ) + with pytest.raises(FlowGenericError) as exc_info: + corrections.to_pauli_flow() + assert exc_info.value.reason == FlowGenericErrorReason.IncorrectCorrectionFunctionDomain + @pytest.mark.parametrize("test_case", prepare_test_xzcorrections()) def test_corrections_to_pattern(self, test_case: XZCorrectionsTestCase, fx_rng: Generator) -> None: if test_case.pattern is not None: From e9c7b3c997dadec9e6939f876cb17b59780d3b03 Mon Sep 17 00:00:00 2001 From: thierry-martinez Date: Wed, 10 Jun 2026 14:04:57 +0200 Subject: [PATCH 2/5] Take `enable-cache` and `python-version` into account when setting up `uv` in CI (#516) MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The `setup-uv` composite action ignored the `enable-cache` and `python-version` inputs. Cache was still enabled by default, which is the intended behaviour, but the system Python version was used instead of the one specified. As a result, type‑checking and coverage ran with Python 3.12 rather than the requested Python 3.14. This commit fixes the `setup-uv` composite action so that it respects both the `enable-cache` and `python-version` inputs. The use of Python 3.12 for type-checking was noticed during the review of #512 (see comment https://github.com/TeamGraphix/graphix/pull/512#discussion_r3302942519). In the type-checking workflow, `python-version` was set to 3.13 (and was ignored) with an outdated comment about Qiskit/qiskit-aer#2378, which is now closed (see comment https://github.com/thierry-martinez/graphix-pyzx/pull/1#discussion_r3309462656). The `python-version` field has been updated to 3.14. --- .github/actions/setup-uv/action.yml | 20 ++++++++++++++++++-- .github/workflows/typecheck.yml | 6 ++---- 2 files changed, 20 insertions(+), 6 deletions(-) diff --git a/.github/actions/setup-uv/action.yml b/.github/actions/setup-uv/action.yml index 309716e3d..078bccb5a 100644 --- a/.github/actions/setup-uv/action.yml +++ b/.github/actions/setup-uv/action.yml @@ -1,6 +1,14 @@ name: Set up uv description: Install the pinned version of uv and cache its package cache - +inputs: + enable-cache: + description: Enable cache + required: false + type: boolean + python-version: + description: Python version + required: false + type: string runs: using: composite steps: @@ -8,10 +16,18 @@ runs: shell: bash run: pip install -r .github/uv-requirements.txt + - name: Pin Python version ${{ inputs.python-version }} + if: ${{ inputs.python-version != '' }} + shell: bash + run: uv python pin "$PYTHON_VERSION" + env: + PYTHON_VERSION: ${{ inputs.python-version }} + - name: Cache uv packages + if: ${{ inputs.enable-cache == 'true' }} uses: actions/cache@v4 with: path: ~/.cache/uv key: uv-${{ runner.os }}-${{ hashFiles('uv.lock') }} restore-keys: | - uv-${{ runner.os }}- \ No newline at end of file + uv-${{ runner.os }}- diff --git a/.github/workflows/typecheck.yml b/.github/workflows/typecheck.yml index a40d377cd..f80fc2f95 100644 --- a/.github/workflows/typecheck.yml +++ b/.github/workflows/typecheck.yml @@ -12,9 +12,7 @@ concurrency: cancel-in-progress: true env: - # We stick to Python 3.13 since qiskit-aer is not available yet for Python 3.14. - # See https://github.com/Qiskit/qiskit-aer/issues/2378. - python-version: "3.13" + python-version: "3.14" jobs: mypy-pyright: @@ -67,4 +65,4 @@ jobs: run: | cd ${{ runner.temp }} echo "from graphix import Pattern" > test_graphix_type.py - uv run --project ${{ github.workspace }} --no-sync mypy test_graphix_type.py \ No newline at end of file + uv run --project ${{ github.workspace }} --no-sync mypy test_graphix_type.py From 21634da73e8c1a0aaaa774f8d175b997b1de42e4 Mon Sep 17 00:00:00 2001 From: "dependabot[bot]" <49699333+dependabot[bot]@users.noreply.github.com> Date: Thu, 11 Jun 2026 10:02:34 +0200 Subject: [PATCH 3/5] Bump ruff from 0.15.15 to 0.15.16 in the python-packages group (#538) Bumps the python-packages group with 1 update: [ruff](https://github.com/astral-sh/ruff). Updates `ruff` from 0.15.15 to 0.15.16 - [Release notes](https://github.com/astral-sh/ruff/releases) - [Changelog](https://github.com/astral-sh/ruff/blob/main/CHANGELOG.md) - [Commits](https://github.com/astral-sh/ruff/compare/0.15.15...0.15.16) --- updated-dependencies: - dependency-name: ruff dependency-version: 0.15.16 dependency-type: direct:production update-type: version-update:semver-patch dependency-group: python-packages ... Signed-off-by: dependabot[bot] Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com> --- pyproject.toml | 2 +- uv.lock | 44 ++++++++++++++++++++++---------------------- 2 files changed, 23 insertions(+), 23 deletions(-) diff --git a/pyproject.toml b/pyproject.toml index 2f2e3df3f..e47a9eed3 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -46,7 +46,7 @@ dev = [ "mypy==2.1.0", "pre-commit", "pyright", - "ruff==0.15.15", + "ruff==0.15.16", "types-networkx==3.6.1.20260518", "types-psutil", "types-setuptools", diff --git a/uv.lock b/uv.lock index 65752fee0..586529ed2 100644 --- a/uv.lock +++ b/uv.lock @@ -997,7 +997,7 @@ requires-dist = [ { name = "qiskit-aer", marker = "extra == 'dev'" }, { name = "qiskit-qasm3-import", marker = "extra == 'dev'" }, { name = "quimb" }, - { name = "ruff", marker = "extra == 'dev'", specifier = "==0.15.15" }, + { name = "ruff", marker = "extra == 'dev'", specifier = "==0.15.16" }, { name = "scipy" }, { name = "scipy-stubs", 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13 Jun 2026 11:52:07 +0200 Subject: [PATCH 4/5] Pin `matplotlib==3.10.9` for extra `dev` dependencies (#541) * Pin `matplotlib==3.10.9` for extra `dev` dependencies This commit adds a pin to `matplotlib==3.10.9` in the `dev` extra dependencies. Matplotlib 3.11.0 introduces visual changes that break our graphical-regression tests. As we do for other packages whose new releases can break the test suite, we pin a precise version in the `dev` extra to ensure reproducible CI while keeping the package unpinned in the default dependencies so users can choose whichever version they prefer. We pin `3.10.9` instead of the newer `3.11.0` because the latter drops support for Python 3.11, which we continue to support until its official end-of-life (October 2026): https://devguide.python.org/versions/ * Restore qiskit constraint in `dev` extra * Remove `pytest --mpl` in `tests_minimal` We cannot run `pytest --mpl` in `test_minimal` (without extra), since the visualization output depends on the version of Matplotlib, and the pinning is only in the `dev` extra. --- noxfile.py | 5 +- pyproject.toml | 3 +- uv.lock | 621 ++++++++++++++++++++++++------------------------- 3 files changed, 307 insertions(+), 322 deletions(-) diff --git a/noxfile.py b/noxfile.py index 65419b640..947c8e102 100644 --- a/noxfile.py +++ b/noxfile.py @@ -40,7 +40,10 @@ def tests_minimal(session: Session) -> None: """Run the test suite with minimal dependencies.""" session.install(".") install_pytest(session) - run_pytest(session, mpl=True) + # We cannot run `pytest --mpl` here because the visualization output + # depends on the Matplotlib version, and the pinning is only present + # in the `dev` extra. + run_pytest(session) @nox.session(python=PYTHON_VERSIONS) diff --git a/pyproject.toml b/pyproject.toml index e47a9eed3..261a140a3 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -58,9 +58,10 @@ dev = [ "pytest-cov", "pytest-mock", "pytest-mpl", - "qiskit>=1.0", + "qiskit>=1.0,<2.4", "qiskit_qasm3_import", "qiskit-aer", + "matplotlib==3.10.9", ] doc = [ "furo", diff --git a/uv.lock b/uv.lock index 586529ed2..a341d8610 100644 --- a/uv.lock +++ b/uv.lock @@ -48,40 +48,42 @@ wheels = [ [[package]] name = "ast-serialize" -version = "0.3.0" -source = { registry = "https://pypi.org/simple" } -sdist = { url = "https://files.pythonhosted.org/packages/a9/9d/912fefab0e30aee6a3af8a62bbea4a81b29afa4ba2c973d31170620a26de/ast_serialize-0.3.0.tar.gz", hash = "sha256:1bc3ca09a63a021376527c4e938deedd11d11d675ce850e6f9c7487f5889992b", size = 60689, upload-time = "2026-04-30T23:24:48.104Z" } -wheels 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This also makes to_pauli_flow total on degenerate inputs (e.g. Pattern().extract_xzcorrections().to_pauli_flow() no longer raises). - Add simulation-equivalence tests (test_pattern.py and the Pauli-only case): the pattern rebuilt from the reconstructed flow must implement the same unitary as the original, a stronger guarantee than matching corrections. - Use OpenGraph.neighbors instead of the raw networkx graph, and document the deterministic (free-variables-to-zero) reconstruction. --- graphix/flow/core.py | 43 ++++++++++++++++++++--------------------- tests/test_flow_core.py | 41 ++++++++++++++++++++------------------- tests/test_pattern.py | 22 +++++++++++++++++++++ 3 files changed, 64 insertions(+), 42 deletions(-) diff --git a/graphix/flow/core.py b/graphix/flow/core.py index 58979647c..dcda58430 100644 --- a/graphix/flow/core.py +++ b/graphix/flow/core.py @@ -285,8 +285,13 @@ def to_pauli_flow(self) -> PauliFlow[_AM_co]: recovered by solving the linear system over :math:`\mathbb{F}_2` whose equations are the Pauli-flow conditions (P1)-(P9) together with the requirement that the induced XZ-corrections match ``self`` (i.e. :math:`Odd(p(i)) \cap \{j : j > i\}` equals the - Z-corrections of :math:`i`). The resulting flow is then validated with - :meth:`PauliFlow.check_well_formed`. + Z-corrections of :math:`i`). If some node's system has no solution, no Pauli flow + reproduces the corrections and a :class:`FlowGenericError` is raised. + + The reconstructed correction function satisfies the Pauli-flow propositions (P1)-(P9) by + construction, so no run-time validation is performed (well-formedness is exercised in the + test suite instead). The free variables of each system are set to zero, which makes the + reconstruction deterministic and reproducible. Returns ------- @@ -294,9 +299,8 @@ def to_pauli_flow(self) -> PauliFlow[_AM_co]: Raises ------ - FlowError - If the XZ-corrections are not induced by any Pauli flow, or if the partial order is - incompatible with the reconstructed correction function. + FlowGenericError + If the XZ-corrections are not induced by any Pauli flow. Notes ----- @@ -309,13 +313,7 @@ def to_pauli_flow(self) -> PauliFlow[_AM_co]: [1] Browne et al., 2007 New J. Phys. 9 250 (arXiv:quant-ph/0702212). """ correction_function = _reconstruct_pauli_correction_function(self) - pf = PauliFlow(self.og, correction_function, self.partial_order_layers) - # The reconstruction enforces propositions (P1)-(P9) by construction, but `check_well_formed` - # additionally validates the user-supplied partial order: it rejects, for instance, - # XZ-corrections without output nodes (which admit no flow) or a partial order that does not - # cover every measured node. It raises a `FlowError` in those cases. - pf.check_well_formed() - return pf + return PauliFlow(self.og, correction_function, self.partial_order_layers) def to_bloch(self: XZCorrections[Measurement]) -> XZCorrections[BlochMeasurement]: """Return the XZ-corrections where all measurements in the open graph are converted to Bloch. @@ -1486,7 +1484,7 @@ def _solve_f2(rows: list[tuple[set[int], int]], n_vars: int) -> list[int] | None def _odd_neighbourhood_equation( - graph: nx.Graph[int], + neighbors: Mapping[int, AbstractSet[int]], inputs: AbstractSet[int], free_index: Mapping[int, int], fixed: Mapping[int, int], @@ -1496,8 +1494,8 @@ def _odd_neighbourhood_equation( Parameters ---------- - graph : nx.Graph[int] - Graph of the open graph. + neighbors : Mapping[int, AbstractSet[int]] + Adjacency mapping (node to its set of neighbours) of the open graph. inputs : AbstractSet[int] Input nodes (never belong to a correcting set). free_index : Mapping[int, int] @@ -1515,7 +1513,7 @@ def _odd_neighbourhood_equation( """ coefficients: set[int] = set() constant = 0 - for neighbor in graph.neighbors(target): + for neighbor in neighbors[target]: if neighbor in free_index: coefficients ^= {free_index[neighbor]} elif neighbor not in inputs: @@ -1574,6 +1572,7 @@ def _reconstruct_pauli_correction_function(xz: XZCorrections[_AM_co]) -> dict[in """ og = xz.og graph = og.graph + neighbors = {n: og.neighbors({n}) for n in graph.nodes} inputs = set(og.input_nodes) measurements = og.measurements layers = xz.partial_order_layers @@ -1623,18 +1622,18 @@ def _reconstruct_pauli_correction_function(xz: XZCorrections[_AM_co]) -> dict[in # Induced Z-corrections must match: Odd(p(node)) ∩ future = z_future. for future_node in future: - coefficients, constant = _odd_neighbourhood_equation(graph, inputs, free_index, fixed, future_node) + coefficients, constant = _odd_neighbourhood_equation(neighbors, inputs, free_index, fixed, future_node) rows.append((coefficients, (1 if future_node in z_future else 0) ^ constant)) # Self conditions on the odd neighbourhood (P4)-(P9). if label in {Plane.XY, Plane.XZ, Axis.X}: # (P4)/(P5)/(P7): node ∈ Odd(p). - coefficients, constant = _odd_neighbourhood_equation(graph, inputs, free_index, fixed, node) + coefficients, constant = _odd_neighbourhood_equation(neighbors, inputs, free_index, fixed, node) rows.append((coefficients, 1 ^ constant)) elif label == Plane.YZ: # (P6): node ∉ Odd(p). - coefficients, constant = _odd_neighbourhood_equation(graph, inputs, free_index, fixed, node) + coefficients, constant = _odd_neighbourhood_equation(neighbors, inputs, free_index, fixed, node) rows.append((coefficients, constant)) elif label == Axis.Y: # (P9): exactly one of node ∈ p and node ∈ Odd(p). - coefficients, constant = _odd_neighbourhood_equation(graph, inputs, free_index, fixed, node) + coefficients, constant = _odd_neighbourhood_equation(neighbors, inputs, free_index, fixed, node) rows.append((coefficients ^ _membership_coefficients(free_index, node), 1 ^ constant)) # Axis.Z: (P8) only constrains the fixed membership; no condition on the odd neighbourhood. @@ -1644,10 +1643,10 @@ def _reconstruct_pauli_correction_function(xz: XZCorrections[_AM_co]) -> dict[in continue other_label = measurements[other_node].to_plane_or_axis() if other_label in {Plane.XY, Plane.XZ, Plane.YZ, Axis.X}: # (P2): other_node ∉ Odd(p). - coefficients, constant = _odd_neighbourhood_equation(graph, inputs, free_index, fixed, other_node) + coefficients, constant = _odd_neighbourhood_equation(neighbors, inputs, free_index, fixed, other_node) rows.append((coefficients, constant)) elif other_label == Axis.Y: # (P3): other_node ∈ p ⇔ other_node ∈ Odd(p). - coefficients, constant = _odd_neighbourhood_equation(graph, inputs, free_index, fixed, other_node) + coefficients, constant = _odd_neighbourhood_equation(neighbors, inputs, free_index, fixed, other_node) rows.append((coefficients ^ _membership_coefficients(free_index, other_node), constant)) # Axis.Z: no constraint (an anachronical Z-correction is absorbed by the measurement). diff --git a/tests/test_flow_core.py b/tests/test_flow_core.py index aa76dcce2..93a773dcd 100644 --- a/tests/test_flow_core.py +++ b/tests/test_flow_core.py @@ -435,7 +435,7 @@ def test_extract_pauli_flow_from_pattern(self, test_case: XZCorrectionsTestCase) assert reconstructed.x_corrections == expected.x_corrections assert reconstructed.z_corrections == expected.z_corrections - def test_extract_pauli_flow_pauli_only(self) -> None: + def test_extract_pauli_flow_pauli_only(self, fx_rng: Generator) -> None: """Pattern with a Pauli flow but neither causal flow nor gflow (issue example). Open graph structure (SWAP implemented with X-measurements): @@ -476,6 +476,15 @@ def test_extract_pauli_flow_pauli_only(self) -> None: assert reconstructed.x_corrections == corrections.x_corrections assert reconstructed.z_corrections == corrections.z_corrections + # Simulation equivalence: the pattern rebuilt from the reconstructed flow implements the + # same unitary (a SWAP here) as the original. + rebuilt = reconstructed.to_pattern() + for plane in (Plane.XY, Plane.XZ, Plane.YZ): + angle = 2 * ANGLE_PI * fx_rng.random() + state_ref = pattern.simulate_pattern(input_state=PlanarState(plane, angle), rng=fx_rng) + state_test = rebuilt.simulate_pattern(input_state=PlanarState(plane, angle), rng=fx_rng) + assert state_ref.isclose(state_test) + def test_to_pauli_flow_anachronical_reconstruction(self) -> None: """Reconstruction recovers anachronical correctors absorbed by Pauli measurements.""" flow = generate_pauli_flow_1() @@ -546,25 +555,17 @@ def test_to_pauli_flow_input_measured_along_pauli_axis(self) -> None: corrections.to_pauli_flow() assert exc_info.value.reason == FlowGenericErrorReason.NoCompatiblePauliFlow - def test_to_pauli_flow_partial_order_missing_node(self) -> None: - """A partial order that omits a measured node raises a `FlowError`, not a `KeyError`.""" - og = OpenGraph( - graph=nx.Graph([(0, 1)]), - input_nodes=[0], - output_nodes=[1], - measurements={0: Measurement.XY(0.1)}, - ) - # The measured node 0 is missing from the partial order layers, so the reconstructed - # correction function is incomplete and rejected by `check_well_formed`. - corrections = XZCorrections( - og=og, - x_corrections={0: frozenset({1})}, - z_corrections={}, - partial_order_layers=[frozenset({1})], - ) - with pytest.raises(FlowGenericError) as exc_info: - corrections.to_pauli_flow() - assert exc_info.value.reason == FlowGenericErrorReason.IncorrectCorrectionFunctionDomain + def test_to_pauli_flow_empty_pattern(self) -> None: + """A degenerate input with no measured nodes yields a trivial flow instead of raising.""" + # Empty pattern: previously this raised `PartialOrderError` via the run-time well-formedness + # check. The reconstruction itself handles it and returns an empty correction function. + flow = Pattern().extract_xzcorrections().to_pauli_flow() + assert flow.correction_function == {} + + # Open graph with output nodes only. + og: OpenGraph[Plane] = OpenGraph(graph=nx.Graph([(0, 1)]), input_nodes=[], output_nodes=[0, 1], measurements={}) + flow_outputs_only = XZCorrections.from_measured_nodes_mapping(og=og).to_pauli_flow() + assert flow_outputs_only.correction_function == {} @pytest.mark.parametrize("test_case", prepare_test_xzcorrections()) def test_corrections_to_pattern(self, test_case: XZCorrectionsTestCase, fx_rng: Generator) -> None: diff --git a/tests/test_pattern.py b/tests/test_pattern.py index 6a87c4016..bd6b32c6f 100644 --- a/tests/test_pattern.py +++ b/tests/test_pattern.py @@ -943,6 +943,28 @@ def test_extract_gflow_rnd_circuit(self, fx_bg: PCG64, jumps: int) -> None: s_test = p_test.simulate_pattern(rng=rng) assert s_ref.isclose(s_test) + # Extract Pauli flow from random circuits + @pytest.mark.parametrize("jumps", range(1, 11)) + def test_extract_pauli_flow_rnd_circuit(self, fx_bg: PCG64, jumps: int) -> None: + """Tests the round trip Pattern -> XZCorrections -> PauliFlow -> XZCorrections -> Pattern. + + The reconstructed pattern must implement the same unitary as the original (checked by + simulation), which is a stronger guarantee than the corrections merely matching. + """ + rng = Generator(fx_bg.jumped(jumps)) + nqubits = 2 + depth = 2 + circuit_1 = rand_circuit(nqubits, depth, rng, use_ccx=False) + p_ref = circuit_1.transpile().pattern + p_test = p_ref.extract_pauli_flow().to_corrections().to_pattern().infer_pauli_measurements() + + p_ref.remove_pauli_measurements() + p_test.remove_pauli_measurements() + + s_ref = p_ref.simulate_pattern(rng=rng) + s_test = p_test.simulate_pattern(rng=rng) + assert s_ref.isclose(s_test) + @pytest.mark.parametrize("test_case", PATTERN_FLOW_TEST_CASES) def test_extract_causal_flow(self, fx_rng: Generator, test_case: PatternFlowTestCase) -> None: if test_case.has_cflow: