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IEEE Transactions on Quantum Engineering

Quantum-Enhanced Belief Propagation for LDPC Decoding

Sheila M. Perez-Garcia, Ashley Montanaro

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.1109/tqe.2026.3738999

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We present an enhanced informed dynamic scheduling (IDS) strategy to avoid propagations of unreliable messages in the residual belief-propagation (RBP) algorithm for decoding low-density parity-check (LDPC) codes. To reduce the resource needed for updating the degree-one variable nodes (VNs) in an RBP-based algorithm for decoding 5G New Radio (NR) LDPC codes, we further introduce a process consisting of several simple procedures for managing the resource consumption. Simulation results demonstrate that our RBP algorithm based on the proposed IDS strategy outperforms existing RBP-based algorithms at the early decoding iterations. By using our degree-one VN resource managing approach, the performance of both the proposed and the existing decoders is significantly improved in decoding the 5G NR codes.
A novel Low-Density Parity-Check(LDPC) decoding algorithm was proposed,which integrates the serial belief propagation mechanism with the normalized BP-Based updating rule.The algorithm propagates the belief according to certain order of the check nodes,thus improves the convergence property of the belief propagation.Meanwhile,the algorithm efficiently lowers the decoding complexity by using the normalized BP-Based updating rule,which makes the algorithm to adapt to the implementation of hardware.Simulation was performed under the AWGN channel and results show that,compared with prior LDPC decoding algorithm,the proposed algorithm is able to accelerate the convergence speed of decoding obviously and enhance the decoding performance significantly.
In this paper, we focus on how to further improve the performance of short block-length low-density parity-check (LDPC) codes, especially the short LDPC codes in 5th generation (5G) New Radio (NR) systems. We propose an enhanced adaptive belief propagation (ABP) decoding algorithm with the assistance of partial cyclic redundancy check (CRC) bits. Meanwhile, the error detection ability can still be guaranteed by the remaining CRC bits and adaptive decoder parameters. Moreover, the proposed partial CRC-aided ABP (CA-ABP) decoding can be combined with the conventional BP decoding to further improve the performance. Simulation results show that compared with the BP decoding our proposed decoding method achieves an improvement in the error-correction performance.