Informed Dynamic Scheduling for QLDPC Codes

• URL: http://arxiv.org/abs/2410.01197v1
• Date: Wed, 2 Oct 2024 03:00:15 GMT
• Title: Informed Dynamic Scheduling for QLDPC Codes
• Authors: Tzu-Hsuan Huang, Yeong-Luh Ueng,
• Abstract summary: We consider edge-wise informed dynamic scheduling (IDS) for QLDPC codes based on syndrome-based residual belief propagation (sRBP) Two strategies, including edge pool design and error pre-correction, are introduced to tackle this obstacle and quantum trapping sets. A novel sRBP equipped with a predict-and-reduce-error mechanism (PRE-sRBP) is proposed.
• Score: 1.7802147489386628
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recent research has shown that syndrome-based belief propagation using layered scheduling (sLBP) can not only accelerate the convergence rate but also improve the error rate performance by breaking the quantum trapping sets for quantum low-density parity-check (QLDPC) codes, showcasing a result distinct from classical error correction codes. In this paper, we consider edge-wise informed dynamic scheduling (IDS) for QLDPC codes based on syndrome-based residual belief propagation (sRBP). However, the construction of QLDPC codes and the identical prior intrinsic information assignment will result in an equal residual in many edges, causing a performance limitation for sRBP. Two strategies, including edge pool design and error pre-correction, are introduced to tackle this obstacle and quantum trapping sets. Then, a novel sRBP equipped with a predict-and-reduce-error mechanism (PRE-sRBP) is proposed, which can provide a performance gain on considered QLDPC codes of over one order of magnitude compared to sLBP.

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