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✨ Add error correction module with Shor and Steane logical circuit transpilers#930

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✨ Add error correction module with Shor and Steane logical circuit transpilers#930
Felix-Gundlach wants to merge 124 commits into
munich-quantum-toolkit:mainfrom
emilkanic0909:feature/ErrorCorrection_MergePrep

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@Felix-Gundlach

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Summary

This PR introduces a dedicated Error Correction Module for MQT Bench. It adds two high-level transpilers that encode standard benchmark circuits into fault-tolerant logical circuits using the 7-qubit Steane code and the 9-qubit Shor code, respectively. The module is designed to integrate cleanly with the existing benchmark_generation API.

Changes

New files

  • src/mqt/bench/error_correction/steane_transpiler.pySteaneTranspiler class: encodes logical qubits into 7-qubit Steane blocks, applies transversal Clifford gates (H, X, Z, S, CX, CZ), and handles T-gates via magic state injection with ancilla teleportation.
  • src/mqt/bench/error_correction/shor_transpiler.pyShorTranspiler class: encodes logical qubits into 9-qubit Shor blocks, implements the full logical Clifford gate set (including the non-transversal H via bit-swap), and supports S- and T-gates via magic state teleportation gadgets.
  • tests/test_error_correction.py — pytest suite covering gate-level equivalence (via MQT QCEC), correctness under injected bit- and phase-flip errors (via Hellinger fidelity with Aer), and circuit structure validation against pre-computed gate counts for GHZ, Bernstein–Vazirani, graph state, and QFT benchmarks.

How it works

Both transpilers follow the same three-phase pipeline:

  1. Encode — each logical qubit is replaced by a physical register (7 or 9 qubits) and initialized using the respective encoding circuit.
  2. Replace gates — the original circuit is scanned instruction by instruction and each gate is replaced with its logical equivalent. High-level gates (e.g. QFTGate) are first decomposed into the supported basis set {H, X, Z, S, T, CX, CZ}.
  3. Insert syndromes — after each logical operation, syndrome extraction and conditional correction cycles are appended using Qiskit's dynamic circuit if_test feature.

T-gates, which are non-transversal, are handled via a teleportation gadget: a magic state ancilla block is prepared, a logical CNOT is applied from the data qubit to the ancilla, the ancilla is decoded and measured, and a conditional logical S correction is applied on outcome 1.

Testing

  • Gate equivalence is verified using mqt.qcec for all single- and two-qubit Clifford gates.
  • Correctness under noise is verified by injecting a physical X or Z error after encoding and checking that the Hellinger fidelity between the corrected and uncorrected logical distributions is ≥ 0.99.
  • Circuit structure is validated against a reference gate_counts.json for qubit counts ranging from 3 to 9 across all supported algorithms.

Notes

  • QFT is currently excluded from the correctness simulation tests due to circuit depth making simulation infeasible.
  • Syndrome insertion can be toggled off via add_syndromes=False for lightweight structural or equivalence checks.

Checklist

  • The pull request only contains commits that are focused and relevant to this change.
  • We have added appropriate tests that cover the new/changed functionality.
  • We have updated the documentation to reflect these changes.
  • We have added entries to the changelog for any noteworthy additions, changes, fixes, or removals.
  • We have added migration instructions to the upgrade guide (if needed).
  • The changes follow the project's style guidelines and introduce no new warnings.
  • The changes are fully tested and pass the CI checks.
  • We have reviewed our own code changes.

If PR contains AI-assisted content:

  • We have disclosed the use of AI tools in the PR description as per our AI Usage Guidelines.
  • AI-assisted commits include an Assisted-by: [Model Name] via [Tool Name] footer.
  • We confirm that We have personally reviewed and understood all AI-generated content, and accept full responsibility for it.

@Felix-Gundlach

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@coderabbitai full review

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coderabbitai Bot commented Jun 27, 2026

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✅ Action performed

Full review finished.

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Actionable comments posted: 7

Caution

Some comments are outside the diff and can’t be posted inline due to platform limitations.

⚠️ Outside diff range comments (2)
src/mqt/bench/benchmark_generation.py (2)

540-575: 🎯 Functional Correctness | 🟡 Minor | ⚡ Quick win

Reject unsupported encoding usage instead of silently dropping it.

get_benchmark accepts encoding, but only the BenchmarkLevel.ALG branch forwards it. Calls like get_benchmark(..., level=BenchmarkLevel.INDEP, encoding="shor") return an unencoded circuit without warning.

Proposed fix
     Returns:
         Qiskit::QuantumCircuit object representing the benchmark with the selected options
     """
+    if encoding and level is not BenchmarkLevel.ALG:
+        msg = "`encoding` is only supported for algorithm-level benchmarks (level=BenchmarkLevel.ALG)."
+        raise ValueError(msg)
+
     if level is BenchmarkLevel.ALG:
         return get_benchmark_alg(

Also applies to: 579-617

🤖 Prompt for AI Agents
Verify each finding against current code. Fix only still-valid issues, skip the
rest with a brief reason, keep changes minimal, and validate.

In `@src/mqt/bench/benchmark_generation.py` around lines 540 - 575, get_benchmark
currently accepts encoding but only passes it through in the BenchmarkLevel.ALG
path, so unsupported levels silently ignore it. Update get_benchmark to validate
encoding against the selected level (and/or the downstream helpers like
get_benchmark_alg and the other level-specific branches) and raise a clear error
when encoding is provided where it is not supported, instead of returning an
unencoded circuit.

169-176: 🎯 Functional Correctness | 🟡 Minor | ⚡ Quick win

Add encoding to all get_benchmark_alg overloads. The implementation accepts encoding, but the overloads at src/mqt/bench/benchmark_generation.py:169-198 omit it, so type checkers and IDEs can reject valid calls like get_benchmark_alg(..., encoding="steane").

🤖 Prompt for AI Agents
Verify each finding against current code. Fix only still-valid issues, skip the
rest with a brief reason, keep changes minimal, and validate.

In `@src/mqt/bench/benchmark_generation.py` around lines 169 - 176, Add the
missing encoding parameter to every get_benchmark_alg overload in
benchmark_generation.py so the signatures match the implementation. Update the
overloads around get_benchmark_alg and any related configuration typing to
include encoding as an accepted keyword argument, ensuring valid calls like
get_benchmark_alg(..., encoding="steane") are recognized by type checkers and
IDEs.
🤖 Prompt for all review comments with AI agents
Verify each finding against current code. Fix only still-valid issues, skip the
rest with a brief reason, keep changes minimal, and validate.

Inline comments:
In `@src/mqt/bench/components/shor_circuit_components.py`:
- Around line 131-135: The docstring sections for the Shor circuit component
functions currently use plain “Arguments:” blocks instead of Google-style
“Args:” headers. Update both affected docstrings in shor_circuit_components.py,
including the one describing qc, logical_qubit, bit_flip_syndrome, and
bit_flip_syndrome_measurement, to use the standard Google-style Args: section
formatting consistently with the project’s Python docstring guidelines.

In `@src/mqt/bench/components/steane_circuit_components.py`:
- Around line 121-127: The docstring parameter section in the component function
currently uses a non-standard header, so update the relevant docstring in
steane_circuit_components.py to follow Google-style formatting by renaming the
parameter section from “Arguments:” to “Args:” and keeping the existing
parameter descriptions aligned under that section. Make sure the affected
function docstring remains consistent with the project’s Python docstring
convention for the symbols describing qc, logical_qubit, bit_flip_syndrome,
phase_flip_syndrome, bit_flip_syndrome_measurement, and
phase_flip_syndrome_measurement.

In `@src/mqt/bench/error_correction/shor_transpiler.py`:
- Around line 246-260: The _logical_measure() path currently decodes the logical
block and leaves it decoded, so later operations on the same logical qubit can
be applied to unencoded physical qubits. Update _logical_measure() and the
surrounding Shor transpiler flow to either reject measurements unless they are
terminal on that logical qubit, or re-encode the block immediately after
measurement if further gates are allowed. Use the existing
_apply_shor_decoding(), logical_qubits, and transpiled_qc measurement handling
to locate and enforce this behavior.
- Around line 99-100: The transpilation flow in `ShorTranspiler.transpile()` is
carrying state across runs because `encode_qubits()` appends to
`self.logical_qubits` and `self.physical_data_registers` without resetting them
first. Before calling `encode_qubits()` and `replace_gates()`, clear all per-run
collections and any handler state tied to the previous `self.transpiled_qc` so a
second `transpile()` on the same instance builds only fresh registers for the
new circuit. Make sure the reset is applied in the main `transpile()` path and
any related setup code referenced by the same block.

In `@src/mqt/bench/error_correction/steane_transpiler.py`:
- Around line 67-68: Reset the transpiler’s per-run state before starting a new
`transpile()` pass: `SteaneTranspiler.encode_qubits()` appends to persistent
register lists, so make sure `transpile()` clears or reinitializes the stateful
register collections and any related cached circuit data before calling
`encode_qubits()` and `replace_gates()`. Update the `SteaneTranspiler` flow so
each invocation works only with the freshly built `self.transpiled_qc`, and
ensure later handlers do not read stale registers left over from a previous run.
- Around line 184-207: The _handle_measure() logic in SteaneTranspiler currently
decodes a logical block in place, so later operations on the same logical qubit
will act on a decoded state. Update the measurement handling to either reject
non-terminal measurements up front or restore the encoded block before any
subsequent logical gate is processed, and make sure the fix is applied
consistently within SteaneTranspiler._handle_measure and the related
gate-handling flow that assumes physical_data_registers stay encoded.

In `@tests/test_error_correction.py`:
- Around line 37-44: The new Python test helpers and functions still use
narrative-only docstrings, so update the remaining docstrings to Google style
with explicit Args/Returns sections where applicable. Focus on the affected test
functions in test_error_correction.py, including
test_errorcorrection_transpiler_gate_equivalence and the other indicated
helpers, and rewrite their docstrings to match the repository’s Python docstring
convention.

---

Outside diff comments:
In `@src/mqt/bench/benchmark_generation.py`:
- Around line 540-575: get_benchmark currently accepts encoding but only passes
it through in the BenchmarkLevel.ALG path, so unsupported levels silently ignore
it. Update get_benchmark to validate encoding against the selected level (and/or
the downstream helpers like get_benchmark_alg and the other level-specific
branches) and raise a clear error when encoding is provided where it is not
supported, instead of returning an unencoded circuit.
- Around line 169-176: Add the missing encoding parameter to every
get_benchmark_alg overload in benchmark_generation.py so the signatures match
the implementation. Update the overloads around get_benchmark_alg and any
related configuration typing to include encoding as an accepted keyword
argument, ensuring valid calls like get_benchmark_alg(..., encoding="steane")
are recognized by type checkers and IDEs.
🪄 Autofix (Beta)

Fix all unresolved CodeRabbit comments on this PR:

  • Push a commit to this branch (recommended)
  • Create a new PR with the fixes

ℹ️ Review info
⚙️ Run configuration

Configuration used: Organization UI

Review profile: ASSERTIVE

Plan: Pro

Run ID: a5919708-1d38-4fb8-9149-f8df31a0109a

📥 Commits

Reviewing files that changed from the base of the PR and between 560a6a1 and aec7e61.

⛔ Files ignored due to path filters (1)
  • uv.lock is excluded by !**/*.lock
📒 Files selected for processing (11)
  • .gitignore
  • pyproject.toml
  • src/mqt/bench/benchmark_generation.py
  • src/mqt/bench/benchmarks/seven_qubit_steane_code.py
  • src/mqt/bench/benchmarks/shors_nine_qubit_code.py
  • src/mqt/bench/components/shor_circuit_components.py
  • src/mqt/bench/components/steane_circuit_components.py
  • src/mqt/bench/error_correction/shor_transpiler.py
  • src/mqt/bench/error_correction/steane_transpiler.py
  • tests/gate_counts.json
  • tests/test_error_correction.py

Comment thread src/mqt/bench/components/shor_circuit_components.py Outdated
Comment thread src/mqt/bench/components/steane_circuit_components.py Outdated
Comment thread src/mqt/bench/error_correction/shor_transpiler.py
Comment thread src/mqt/bench/error_correction/shor_transpiler.py
Comment thread src/mqt/bench/error_correction/steane_transpiler.py
Comment thread src/mqt/bench/error_correction/steane_transpiler.py
Comment thread tests/test_error_correction.py Outdated
Felix Gundlach and others added 7 commits June 27, 2026 14:51
…nic0909/MQT_Bench_ErrorCorrectionCodes into feature/ErrorCorrection_MergePrep
…m/emilkanic0909/MQT_Bench_ErrorCorrectionCodes into feature/ErrorCorrection_MergePrep

# Conflicts:
#	src/mqt/bench/error_correction/steane_transpiler.py
…nic0909/MQT_Bench_ErrorCorrectionCodes into feature/ErrorCorrection_MergePrep
@Felix-Gundlach Felix-Gundlach marked this pull request as ready for review June 27, 2026 13:19

@flowerthrower flowerthrower left a comment

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Dear all, thank you for this PR. We are already on a good path. I left a few comments in the Steane transpiler, which you might want to focus on first. Once this is properly implemented we can apply the same structure to the Shor transpiler. Overall comment, your current implementation is a bit overkill in some places, lets make this as lean as possible.

def _handle_measure(self, instruction: CircuitInstruction) -> None:
"""Handle measure instruction.

measure_all() is unsupported operation

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This is not a gate in the first place.

@emilkanic0909 emilkanic0909 Jul 4, 2026

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But to execute it, we need to decode and other logic to move between logical measurement to physical, since measurement is also a part of error correction code. Therefore we have though that we need to transpile everything, so that we should not make additionally case distinctions and everything is consistent.
Also it builts itself upon existing code very good and similar to gates. Therefore we think we could maybe not call it as "replace gate" but say e.g. "replace instruction", since gates are also CircuitInstruction, same as barrier or measurement.

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Not sure if I understand your answer correctly, but my comment was about line 187, i.e., the measure_all() comment.

)
self.transpiled_qc.barrier(label="Encoding")

def decode_qubits(self) -> None:

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why do we need this?

@emilkanic0909 emilkanic0909 Jul 4, 2026

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In first place, we rely on it to traverse circuit for adding noise for testing. Also it is used, so that we could see by mpl drawings, whether it looks correct and could differentiate between different components. We thought it made sense to have, because without barriers, gates are often dragged to the left, and then it is hard to differentiate parts. We could rename it, or remove, but we would need to rethink tests then

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The comment is on l.111. I guess we don't need the decode_qubits after having changed the tests (#930 (comment))

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Some of the generated algorithms inlcude measurements (e.g. the Bernstein-Vazirani circuit, I believe). Without the decoding step the resulting circuit would no longer faithfully match the original circuit.
Should we remove the decoding regardless?

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@Felix-Gundlach he means our function that decodes all qubits for tests. We decode it in also by logical measurement. We have discussed it, that it was not very architecturally clean to have a function that are used only for tests. Thefore we could delete it when we delete corresponding tests

for instruction in self.original_qc.data:
gate_name = instruction.operation.name

if gate_name == "qft":

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Ideally this initial decomposition into Clifford+T should be done for any circuit, not only "qft".

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I already implemented it on shor code it's global first then transpiles clifford and T afterwards for all

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@flowerthrower We will try to implement it, so we are able then not to differentiate between "clifford circuits" and QFTGate(), also we will try to use same transpilation logic as you told in next comment, when you confirm our proposals.

Shor and Steane, will be both fixed, since they both apply old transpilation scheme .

tmp = QuantumCircuit(len(instruction.qubits))
tmp.append(instruction.operation, range(len(instruction.qubits)))

tmp = transpile(

@flowerthrower flowerthrower Jun 30, 2026

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instead of fullblown tranpsile() on individual gates let's go with a simple circuit wide clifford+t synthesis
you may have a look at how we compile cirucits for "clifford+t" targets already in this repository

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I already implemented it on shor code

@emilkanic0909 emilkanic0909 Jul 4, 2026

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@flowerthrower We have seen similar code in "get_benchmark_native_gates", there was also a part with transpiling into clifford + t + rotations. And PassManager removes rotations then, when we understood correctly?

But we have already implemented our transpilation coroutine and found your implementation too late, therefore we stayed on it so that we would not mess up. And wanted to hear your feedback.

Hence, we could use then your transpilation logic. That was also one of the questions for you, whether we should then make this transpilation from "native gate benchmarks" using transpiler and SolovayKitaev passmanager as a reusable component as it was done by Shors and Steane components?

@SalehAlsherif It is another transpiler (you have moved old one level up), not what currently in Shor or Steane, I think it would be better to wait until clarification regarding transpilation logic and then we will fix it

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the overall replace sequence would look sth like this (your Shor implementation is already close)

  1. transpile global circuit to Clifford+T:
  • Steane: transpile to ["id", "x", "y", "z", "h", "s", "sdg", "cx", "sx", "sxdg", "cy", "cz", "swap", "dcx", "t", "tdg"]
  • Shor: transpile to ["id", "x", "y", "z", "cx", "swap", "dcx", "t", "tdg"]
  1. iterate over all gates and
  • Steane: replace transversal gates ["id", "x", "y", "z", "h", "s", "sdg", "cx"] directly, and derived transversal gates ["sx", "sxdg", "cy", "cz", "swap", "dcx"]
  • Shor: replace transversal gates ["id", "x", "y", "z", "cx"] directly, and derived transversal gates ["swap", "dcx"]
  1. when encountering a t gate, substitute t gates with an opaque ideal logical gadget and tdg gates with a dagger version of it

if self.add_syndromes:
self.insert_syndromes(logical_qubit_index)

def _handle_t(self, instruction: CircuitInstruction) -> None:

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you may substitute T gates with an opaque ideal logical gadget (and a dagger version of it), like

Instruction(
    name="steane_logical_t_magic_state_injection",
    num_qubits=7,
    num_clbits=0,
    params=[],
)

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Done for shor code transpiler

@emilkanic0909 emilkanic0909 Jul 4, 2026

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@flowerthrower But in a project description it was stated how to prepare state for T using magical state preparations, therefore we have made it in this way, and also tested its functionality.

But now we should simple replace it with this DummyGate? I mean this "Instruction()" has no math info in it, and therefore not executable or simulatable, when I understood it correctly. It sounds unnicely for me to use it and also by taking into account your comment about "enable compiler engineers to get an understanding of what such circuits might look like in the future. For this purpose, circuit structure checks are enough.", so possibly it could be usefull to stay by "cheat" from project description with T gates, since it is very illustrative use case of the most difficult part of error correction and correspondingly to give an overview for future compiler engineers, how this thing are worked around. We could maybe simplify Shor's realisation, but Steane looks not very messy.

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good argument, let's keep it for the Stean since the correction is traversal


self.transpiled_qc.barrier(label=f"Measurement {logical_qubit_index}")

def _handle_h(self, instruction: CircuitInstruction) -> None:

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there is a lot of redundancy in these methods that could be reduced

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@flowerthrower You mean this barrier labelling? We could remove it. Only I wanted to ask whether it is so unuseful, since maybe for compiler engineers, it would be very nice to have this labels to see how everything works together

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no its about all single qubit gates are handeled individually though they share 90 of the same code

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@flowerthrower good point, we will adapt it


self.transpiled_qc.barrier(label=f"H {logical_qubit_index}")
if self.add_syndromes:
self.insert_syndromes(logical_qubit_index)

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the syndrome cycle scheme should be documented in the docstrings

self.insert_syndromes(target_logical_qubit_index)

# it could use the hadamards with cnots
def _handle_cz(self, instruction: CircuitInstruction) -> None:

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also redundant two-qubit handlers

@emilkanic0909 emilkanic0909 Jul 4, 2026

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@flowerthrower But CZ has its own transversal implementation and realizing it by H CX possibly would add more unnessesary complications, e.g. when one would like to use CZ gate, it will become H CX and will increase circuit depth unnecessarily also by adding all syndrome measurement stuff, when a direct and easier implementation exist. But when we will not add syndromes in between, then this circuit could be optimized again to CZ gates, when compiler touches it, what could make things messy. For example, one compiler engineer want to see what happens to CZ gate and sees H CX, and probably it will think that direct CZ implementation isnt supported by these correction codes, what is wrong. Please correct me.

@flowerthrower flowerthrower Jul 5, 2026

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the comment is about redundant two qubit halndlers that have repeating code for cx and cz

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@flowerthrower Oh, sorry for misunderstanding

Comment thread tests/test_error_correction.py Outdated
Felix Gundlach and others added 10 commits July 1, 2026 10:14
Changed circuit structure tests to use hardcoded gate data, only for 3 qubits
structural tests now manually transpile circuits
…ilation of gates without modifying the error correction tests
Removed other tests and test_error_correction.py
…nic0909/MQT_Bench_ErrorCorrectionCodes into feature/ErrorCorrection_MergePrep
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4 participants