Module quantum_ldpc_codes 

Quantum Low-Density Parity-Check (LDPC) Codes with Belief Propagation Decoding

This module implements quantum LDPC codes, which are a class of quantum error correction codes characterized by sparse parity-check matrices. LDPC codes offer excellent error correction performance with efficient decoding algorithms, making them practical for large-scale quantum error correction.

Key features:

• Sparse parity-check matrix construction and optimization
• Belief propagation decoding with message passing
• Support for both CSS and non-CSS LDPC codes
• Tanner graph representation for efficient processing
• Syndrome decoding with iterative refinement
• Performance analysis and threshold estimation
• Hardware-aware optimization for different architectures

Structs

BPDecodingResult

Belief propagation decoding result

CheckNode

Check node in Tanner graph

LDPCConfig

LDPC code configuration

LDPCStats

LDPC performance statistics

QuantumLDPCCode

Quantum LDPC code implementation

TannerGraph

Tanner graph representation of LDPC code

VariableNode

Variable node in Tanner graph

Enums

BeliefPropagationAlgorithm

Belief propagation decoding algorithm

LDPCConstructionMethod

LDPC code construction method

Functions

benchmark_quantum_ldpc_codes

Benchmark quantum LDPC codes performance