QEC Quantum Error Correction

MATLAB/Octave QEC simulations

Quantum Error Correction

Educational implementations of small quantum error-correction codes, syndrome decoders, Monte Carlo sweeps, generated reports, and reusable figures for studying logical recovery under simple Pauli noise models.

GitHub README Algorithms User Guide API Reference

Implemented schemes

Algorithms and Codes

Focused implementation pages preserve the scientific details while giving each code its own entry point.

3-Qubit Bit-Flip

Encode, syndrome extraction, correction, Monte Carlo logical-error sweeps, and noisy syndrome rounds.

3 qubitsX errorsMonte Carlo
Implementation notes

3-Qubit Phase-Flip

X-basis repetition code with X-parity syndrome checks and single Z-error recovery.

3 qubitsZ errorsX checks
Implementation notes

5-Qubit Perfect Code

Distance-3 stabilizer code with syndrome-table recovery for arbitrary single-qubit Pauli errors.

5 qubitsstabilizerPauli recovery
Implementation notes

7-Qubit Steane

CSS code using Hamming parity checks with separate X/Z syndrome decoding.

7 qubitsCSSHamming
Implementation notes

9-Qubit Shor

Concatenated-style repetition structure with bit and phase syndromes for single-Pauli recovery.

9 qubitsShorsingle Pauli
Implementation notes

3x3 Bacon-Shor

Subsystem-code Pauli-frame model with row/column syndromes, representative corrections, and logical residual checks.

9 qubitssubsystemPauli frame
Implementation notes

Surface-3 Prototype

Compact 9-data-qubit surface-code model with X/Z/Pauli channels, noisy syndrome rounds, and a circuit-level schedule prototype.

surface codematching lookupschedule
Implementation notes

Generated artefacts

Figure Dashboard

Committed PNG outputs remain available as direct image assets and as part of the results documentation.

Bit-flip logical error vs physical error
Bit-flip logical error vs physical error
Bit-flip syndrome distribution
Bit-flip syndrome distribution
Bit-flip decoder confusion matrix
Bit-flip decoder confusion matrix
Bit-flip error weight distribution
Bit-flip error weight distribution
Bit-flip Monte Carlo demo
Bit-flip Monte Carlo demo
Recovery failure by error weight
Recovery failure by error weight
Depolarizing logical error comparison
Depolarizing logical error comparison
Bit-flip noisy syndrome rounds
Bit-flip noisy syndrome rounds
Surface-3 logical error vs X error
Surface-3 logical error vs X error
Surface-3 channel comparison
Surface-3 channel comparison
Surface-3 noisy syndrome rounds
Surface-3 noisy syndrome rounds
Surface distance logical error scaling
Surface distance logical error scaling

Documentation

Docs, Guides, and Reports

All markdown documentation is published as styled HTML and copied as raw markdown for reproducibility.

Overview

README.md

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Algorithms

docs/ALGORITHMS.md

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Usage

docs/USAGE.md

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Theory

docs/THEORY.md

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Results

docs/RESULTS.md

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Surface-3

docs/SURFACE3.md

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Simulation Report

docs/SIMULATION_REPORT.md

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Setup

docs/setup.md

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Repository Layout

docs/REPOSITORY_LAYOUT.md

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Roadmap

docs/ROADMAP.md

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Contributing

CONTRIBUTING.md

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Bit-Flip

docs/algorithms/BITFLIP.md

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Phase-Flip

docs/algorithms/PHASEFLIP.md

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5-Qubit

docs/algorithms/FIVE_QUBIT.md

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Steane

docs/algorithms/STEANE.md

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Shor

docs/algorithms/SHOR.md

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Color-7

docs/algorithms/COLOR7.md

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Bacon-Shor

docs/algorithms/BACON_SHOR.md

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Repetition Decoder

docs/algorithms/REPETITION_DECODER.md

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Surface Distance

docs/algorithms/SURFACE_DISTANCE.md

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API and Source Reference

Generated from src/, examples/, and tests/ first-line comments

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Source reference

Code, Examples, Tests

Project-specific implementation files are copied into the site artifact so source links and examples remain accessible.

API and source reference Source functions Examples and plot scripts Octave test suite Cached simulation artefacts License