Layered Decoding of Quantum LDPC Codes

• URL: http://arxiv.org/abs/2308.13377v1
• Date: Fri, 25 Aug 2023 13:37:56 GMT
• Title: Layered Decoding of Quantum LDPC Codes
• Authors: Julien Du Crest, Francisco Garcia-Herrero, Mehdi Mhalla, Valentin Savin, Javier Valls
• Abstract summary: We address the problem of performing message-passing-based decoding of quantum LDPC codes under hardware latency limitations. We propose a novel way to do layered decoding that suits quantum constraints and outperforms flooded scheduling.
• Score: 3.7123625244737526
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: We address the problem of performing message-passing-based decoding of quantum LDPC codes under hardware latency limitations. We propose a novel way to do layered decoding that suits quantum constraints and outperforms flooded scheduling, the usual scheduling on parallel architectures. A generic construction is given to construct layers of hypergraph product codes. In the process, we introduce two new notions, t-covering layers which is a generalization of the usual layer decomposition, and a new scheduling called random order scheduling. Numerical simulations show that the random ordering is of independent interest as it helps relieve the high error floor typical of message-passing decoders on quantum codes for both layered and serial decoding without the need for post-processing.

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