apply_bitflip_noise.m
Apply independent bit-flip noise to a 3-qubit state vector.
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Open source
Source reference
API and Source Reference
Generated from repository source files and first-line comments during the Pages build.
Core MATLAB/Octave Functions
apply_error_pattern.m
Deterministically apply a chosen error pattern [e1 e2 e3].
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apply_pauli_error.m
Apply an n-qubit Pauli string such as 'IXYZ' to a state vector.
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apply_phase_error_pattern.m
Deterministically apply Z errors for a phase-flip pattern [e1 e2 e3].
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bacon_shor_layout.m
Return the row-major 3x3 Bacon-Shor data-qubit layout.
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bacon_shor_logical_failure.m
Return true when Bacon-Shor residual X/Z chains have logical parity.
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bacon_shor_stabilizers.m
Stabilizer generators for the compact 3x3 Bacon-Shor subsystem code.
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bacon_shor_x_syndrome.m
Syndrome for X errors in the 3x3 Bacon-Shor code.
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bacon_shor_z_syndrome.m
Syndrome for Z errors in the 3x3 Bacon-Shor code.
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binary_syndrome_index.m
Find the qubit whose parity-check column matches a syndrome row vector.
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code_num_qubits.m
Number of physical qubits for a named code.
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collect_syndromes.m
Monte Carlo tally of measured syndromes for N noisy trials.
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color7_layout.m
Small triangular color-code layout metadata.
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color7_logical_failure.m
Return true for a residual color-code Pauli with logical support.
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color7_stabilizers.m
Stabilizer generators for the 7-qubit triangular color code.
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computational_basis_state.m
Return computational basis vector |bits> for bits ordered q1...qn.
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confusion_bitflip.m
Build confusion matrix between true errors and inferred errors.
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correct_bitflip.m
Apply single-qubit correction operator based on syndrome bits.
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correct_color7.m
Correct any single-qubit Pauli error on the 7-qubit color code.
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correct_fivequbit.m
Correct any single-qubit Pauli error on the 5-qubit perfect code.
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correct_phaseflip.m
Apply single-qubit Z correction for the 3-qubit phase-flip code.
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correct_shor.m
Correct any single-qubit Pauli error on the 9-qubit Shor code.
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correct_steane.m
Correct any single-qubit Pauli error on the 7-qubit Steane code.
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correction_for_pauli_syndrome.m
Minimum-weight single-qubit correction for a Pauli syndrome.
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decode_bacon_shor_x.m
Decode a Bacon-Shor X-error syndrome to a representative X correction.
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decode_bacon_shor_z.m
Decode a Bacon-Shor Z-error syndrome to a representative Z correction.
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decode_majority.m
Decode logical bit by majority vote over 3 physical qubits.
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decode_repetition_min_weight.m
Minimum-weight decoder for a 1D repetition-code syndrome.
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decode_surface3_min_weight.m
Shared exhaustive minimum-weight decoder for compact surface-3 syndromes.
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decode_surface3_x_matching.m
Minimum-weight decoder for X errors on the small distance-3 surface layout.
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decode_surface3_z_matching.m
Minimum-weight decoder for Z errors on the small distance-3 surface layout.
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decode_surface_graph_matching.m
Decode a generic surface-layout syndrome with a bounded syndrome-graph search.
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decode_surface_min_weight.m
Decode a generic surface-layout syndrome with a small-code-capacity decoder.
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decode_surface_mwpm.m
Decode a generic surface-layout syndrome with an MWPM-style decoder.
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decode_surface_union_find.m
Lightweight peeling decoder for the generic surface layout.
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detect_four_two_two.m
Detect whether a state or Pauli error has nonzero [[4,2,2]] syndrome.
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encode_bitflip.m
Encode |ψ> = α|0>+β|1> into 3-qubit repetition code.
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encode_code_state.m
Dispatch encoding for a named code.
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encode_color7.m
Encode alpha|0>+beta|1> into the 7-qubit triangular color code.
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encode_fivequbit.m
Encode alpha|0>+beta|1> into the 5-qubit perfect code.
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encode_four_two_two.m
Encode two logical qubits into the [[4,2,2]] error-detecting code.
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encode_phaseflip.m
Encode alpha|0>+beta|1> into the 3-qubit phase-flip repetition code.
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encode_shor.m
Encode alpha|0>+beta|1> into the 9-qubit Shor code.
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encode_steane.m
Encode alpha|0>+beta|1> into the 7-qubit Steane code.
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error_weight_counts.m
Monte Carlo histogram of number of flips under bit-flip channel.
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fivequbit_stabilizers.m
Stabilizer generators for the 5-qubit perfect code.
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four_two_two_stabilizers.m
Stabilizer generators for the [[4,2,2]] error-detecting code.
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infer_from_syndrome_bitflip.m
Map syndrome bits to most likely single-qubit error.
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kronN.m
Iterated Kronecker product of all input matrices.
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measure_observable.m
Projectively measure a Hermitian observable with eigenvalues +/-1.
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noisy_syndrome_bitflip.m
Measure bit-flip syndrome and flip each reported syndrome bit with prob q.
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noisy_syndrome_surface3.m
Flip each reported surface-code syndrome bit with probability q.
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normalize_state.m
Normalize a state vector and reject the zero vector.
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pauli.m
Return standard single-qubit Pauli matrices I,X,Y,Z.
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pauli_error_syndrome.m
Return stabilizer syndrome bits for a Pauli error string.
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pauli_product_labels.m
Multiply Pauli strings, ignoring global phase.
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pauli_recovery_success.m
Fast Pauli-error recovery check using stabilizer syndrome algebra.
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pauli_string_operator.m
Build an n-qubit Pauli string operator from characters I, X, Y, Z.
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qec_about.m
Print a short package summary.
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qec_version.m
Return the package version string.
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qstates.m
Return computational basis states |0>,|1>.
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recover_bacon_shor_pauli.m
Recover a Bacon-Shor Pauli-frame error string using row/column syndromes.
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recover_bitflip.m
Correct the 3-qubit bit-flip code and preserve the encoded state.
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recover_bitflip_noisy_syndrome.m
Repeated noisy syndrome extraction for the 3-qubit bit-flip code.
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recover_code_state.m
Dispatch recovery for a named code.
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recover_color7.m
Measure and correct a 7-qubit triangular color-code state.
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recover_color7_pauli.m
Pauli-frame recovery for the 7-qubit triangular color code.
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recover_fivequbit.m
Measure and correct a 5-qubit perfect-code state.
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recover_phaseflip.m
Correct the 3-qubit phase-flip code and preserve the encoded state.
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recover_shor.m
Measure and correct a 9-qubit Shor-code state.
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recover_steane.m
Measure and correct a 7-qubit Steane-code state.
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recover_surface3_x_noisy_syndrome.m
Decode X errors using repeated noisy Z-check syndrome measurements.
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recover_surface3_z_noisy_syndrome.m
Decode Z errors using repeated noisy X-check syndrome measurements.
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sample_error_pattern.m
Randomly draw error pattern [e1 e2 e3] from bit-flip prob p.
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sample_pauli_error_string.m
Sample an n-qubit independent Pauli error string.
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simulate_bacon_shor_pauli_once.m
Simulate one Bacon-Shor Pauli-frame recovery trial under depolarizing noise.
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simulate_bitflip_once.m
End-to-end run: encode, apply noise, correct, decode.
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simulate_color7_pauli_once.m
Simulate one color-code Pauli-frame correction trial.
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simulate_depolarizing_once.m
One depolarizing-noise recovery trial for a named code.
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simulate_noisy_syndrome_bitflip_once.m
One bit-flip trial with noisy repeated syndrome measurements.
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simulate_surface3_circuit_level_once.m
One circuit-level surface-3 trial with data, measurement, and hook faults.
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simulate_surface3_pauli_once.m
One independent Pauli-noise decoding trial for the small surface-code model.
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simulate_surface3_x_noisy_syndrome_once.m
One X-noise trial with repeated noisy surface-code syndrome measurements.
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simulate_surface3_x_once.m
One X-noise decoding trial for the small surface-code prototype.
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simulate_surface3_z_noisy_syndrome_once.m
One Z-noise trial with repeated noisy surface-code syndrome measurements.
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simulate_surface3_z_once.m
One Z-noise decoding trial for the small surface-code prototype.
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simulate_surface_pauli_once.m
Simulate one generic surface-layout code-capacity Pauli correction trial.
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single_pauli_operator.m
Build an n-qubit operator with one non-identity Pauli at qubit q.
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stabilizers_for_code.m
Return stabilizer generators for a named small code.
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state_fidelity.m
Fidelity between two pure state vectors, insensitive to global phase.
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steane_parity_check.m
Parity-check matrix used by the 7-qubit Steane CSS code.
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surface3_cache_dir.m
Directory for cached Monte Carlo sweep results.
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surface3_cache_meta.m
Metadata stored with cached surface-3 Monte Carlo results.
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surface3_cache_version.m
Cache schema/model version for surface-3 Monte Carlo results.
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surface3_cached_channel_sweep.m
Cached X/Z/Pauli surface-3 logical-failure sweep.
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surface3_cached_noisy_syndrome_sweep.m
Cached repeated noisy-syndrome surface-3 sweep.
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surface3_logical_failure.m
Return true when a residual chain has odd overlap with a logical set.
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surface3_logical_sets.m
Logical-chain representatives for the compact 3x3 surface-code model.
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surface3_majority_syndrome.m
Majority vote each syndrome bit across repeated measurement rounds.
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surface3_measurement_schedule.m
Measurement schedule for the compact surface-3 circuit-level model.
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surface3_x_checks.m
X-check supports for the small distance-3 surface-code prototype.
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surface3_x_syndrome.m
Z-check syndrome caused by X errors on the small surface-code layout.
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surface3_z_checks.m
Z-check supports for a small distance-3 rotated surface-code layout.
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surface3_z_syndrome.m
X-check syndrome caused by Z errors on the small surface-code layout.
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surface_benchmark_options.m
Read generic surface-layout benchmark defaults, environment, and CLI args.
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surface_checks.m
Return generic surface-layout CSS check supports.
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surface_decoder_lookup.m
Cached bounded minimum-weight lookup for generic surface-layout syndromes.
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surface_layout.m
Build a compact odd-distance surface-code-style square layout.
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surface_logical_failure.m
Return true when a residual chain has odd overlap with a logical line.
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surface_syndrome.m
Syndrome of a binary data-qubit error against generic surface checks.
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sweep_depolarizing_logical_error.m
Estimate logical failure under independent depolarizing noise.
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sweep_logical_error.m
Estimate logical failure probability vs physical error p.
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sweep_noisy_syndrome_bitflip.m
Compare repeated noisy syndrome rounds for the bit-flip code.
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sweep_single_pauli_recovery_by_weight.m
Exact logical failure by low Pauli-error weight for a named code.
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sweep_surface3_noisy_syndrome.m
Compare repeated noisy syndrome rounds for surface-3 X and Z channels.
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sweep_surface3_pauli_logical_error.m
Monte Carlo logical failure sweep for Pauli noise on the surface-code prototype.
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sweep_surface3_x_logical_error.m
Monte Carlo logical failure sweep for the small surface-code prototype.
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sweep_surface3_z_logical_error.m
Monte Carlo logical failure sweep for Z errors on the small surface-code prototype.
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sweep_surface_distance_logical_error.m
Compare generic surface-layout logical failure estimates across distances.
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syndrome_bitflip.m
Projectively measure stabilizers Z1Z2, Z2Z3.
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syndrome_color7.m
Measure triangular color-code CSS stabilizers.
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syndrome_detector_history.m
Convert repeated syndrome measurements into detector-history differences.
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syndrome_fivequbit.m
Measure the four stabilizers of the 5-qubit perfect code.
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syndrome_four_two_two.m
Measure the two stabilizers of the [[4,2,2]] error-detecting code.
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syndrome_phaseflip.m
Projectively measure phase-flip code stabilizers X1X2, X2X3.
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syndrome_shor.m
Measure Shor-code bit-flip and phase-flip stabilizer syndromes.
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syndrome_steane.m
Measure Steane-code CSS stabilizers.
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Examples and Plot Scripts
benchmark_surface_distance_decoder.m
Print a compact benchmark table for the generic surface-layout decoder.
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check_generated_images.m
Check that selected plotting examples create their expected image files.
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generate_simulation_report.m
Generate a compact Markdown simulation report.
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minimal_bacon_shor_recovery.m
Minimal 3x3 Bacon-Shor Pauli-frame recovery example.
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minimal_bitflip_recovery.m
Minimal 3-qubit bit-flip recovery example.
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minimal_color7_recovery.m
Minimal 7-qubit triangular color-code recovery example.
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minimal_fivequbit_recovery.m
Minimal 5-qubit perfect-code recovery example.
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minimal_four_two_two_detection.m
Minimal [[4,2,2]] error-detection example.
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minimal_phaseflip_recovery.m
Minimal 3-qubit phase-flip recovery example.
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minimal_repetition_decoder.m
Minimal variable-length repetition decoder example.
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minimal_shor_recovery.m
Minimal 9-qubit Shor-code recovery example.
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minimal_steane_recovery.m
Minimal 7-qubit Steane-code recovery example.
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minimal_surface3_circuit_level.m
Minimal surface-3 circuit-level schedule example.
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minimal_surface3_syndrome.m
Minimal surface-3 syndrome and correction example.
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minimal_surface_distance_decoder.m
Minimal variable-distance surface-layout decoder example.
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plot_code_recovery_comparison.m
Plot exact recovery failure by Pauli-error weight for several codes.
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plot_confusion.m
Plot confusion matrix (true vs inferred errors) as heatmap.
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plot_depolarizing_sweep.m
Plot depolarizing-noise logical failure for several QEC codes.
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plot_error_weight.m
Plot distribution of error weights (0–3 flips).
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plot_logical_vs_p.m
Plot logical failure probability vs bit-flip probability p.
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plot_noisy_syndrome_rounds.m
Plot effect of repeated noisy syndrome measurements.
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plot_surface3_channel_comparison.m
Compare X-only, Z-only, and Pauli-noise logical failure for surface-3.
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plot_surface3_logical_vs_p.m
Plot logical failure for the small distance-3 surface-code prototype.
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plot_surface3_noisy_syndrome_rounds.m
Plot effect of repeated noisy surface-3 syndrome measurements.
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plot_surface_distance_scaling.m
Plot generic surface-layout logical failure estimates across distances.
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plot_syndrome_hist.m
Plot histogram of measured syndromes at fixed p.
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run_all_plots.m
Regenerate all PNG figures under images/.
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run_bitflip_demo.m
Simulate 3-qubit bit-flip code over range of p and plot fail rate.
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run_text_examples.m
Run non-plotting examples that print compact text output.
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surface3_walkthrough.m
Longer walkthrough of the compact surface-3 prototype.
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Tests
run_all_tests.m
Octave-compatible test runner for the repository.
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test_bacon_shor.m
Compact 3x3 Bacon-Shor subsystem-code tests.
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test_bitflip.m
3-qubit bit-flip code tests.
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test_color7.m
7-qubit triangular color-code tests.
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test_decoders_and_simulations.m
Decoder and simulator smoke tests.
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test_phaseflip.m
3-qubit phase-flip code tests.
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test_stabilizer_codes.m
Single-qubit Pauli recovery tests for stabilizer codes.
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test_surface3.m
Small surface-code prototype tests.
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test_surface_distance.m
Generic odd-distance surface-layout tests.
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