Quaternary Neural Belief Propagation Decoding of Quantum LDPC Codes With Overcomplete Check Matrices

Quantum low-density parity-check (QLDPC) codes are promising candidates for error correction in quantum computers. One of the major challenges in implementing QLDPC codes in quantum computers is the lack of a universal decoder. In this work, we first propose to decode QLDPC codes with a belief propa...

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Bibliographic Details
Published in:IEEE access Vol. 13; pp. 25637 - 25649
Main Authors: Miao, Sisi, Schnerring, Alexander, Li, Haizheng, Schmalen, Laurent
Format: Journal Article
Language:English
Published: Piscataway IEEE 2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Belief propagation
Binary codes
channel coding
Codes
Computers
Correlation
Decoders
Decoding
decoding algorithms
Error correcting codes
Error correction
Iterative decoding
neural networks
Numerical simulation
Quantum computers
Quantum error correction
quantum low-density parity-check codes
Qubit
Reviews
Vectors
ISSN:2169-3536, 2169-3536
Online Access:Get full text
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Summary:Quantum low-density parity-check (QLDPC) codes are promising candidates for error correction in quantum computers. One of the major challenges in implementing QLDPC codes in quantum computers is the lack of a universal decoder. In this work, we first propose to decode QLDPC codes with a belief propagation (BP) decoder operating on overcomplete check matrices. Then, we extend the neural BP (NBP) decoder, which was originally studied for suboptimal binary BP decoding of QLPDC codes, to quaternary BP decoders. Numerical simulation results demonstrate that both approaches as well as their combination yield a low-latency, high-performance decoder for several short to moderate length QLDPC codes.
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ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2025.3539475