On Belief Propagation Decoding of Quantum Codes with Quaternary Reliability Statistics
On Belief Propagation Decoding of Quantum Codes with Quaternary Reliability Statistics
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DOI：
10.1109/istc57237.2023.10273527
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发表时间：
2023-05
期刊：
影响因子：
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通讯作者：
Ching-Feng Kung;Kao-Yueh Kuo;C. Lai
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文献类型：
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作者：
Ching-Feng Kung;Kao-Yueh Kuo;C. Lai
在本文中，我们研究了四进制可靠性统计量在量子码的有序统计译码（OSD）中的应用。当置信传播（BP）译码无法纠正错误校验子（error syndrome）时，OSD可用于提高其性能。我们提出一种方法，该方法利用四进制可靠性信息以及BP输出的硬判决历史来对OSD进行可靠性排序。这种方法通过在排序步骤中保留X/Z相关性，对先前分别处理X和Z错误的方法进行了改进。我们的模拟表明，具有标量消息的改进型BP以及所提出的OSD优于先前的BP - OSD组合。对于环面码、表面码和XZZX码，我们实现了大约17.5% - 17.7%的阈值，对于六边形平面色码，实现了15.42%的阈值。
In this paper, we investigate the use of quaternary reliability statistics for ordered statistics decoding (OSD) of quantum codes. OSD can be used to improve the performance of belief propagation (BP) decoding when it fails to correct the error syndrome. We propose an approach that leverages quaternary reliability information and the hard-decision history output by BP to perform reliability sorting for OSD. This approach improves upon previous methods that separately treat X and Z errors, by preserving the X/Z correlations during the sorting step. Our simulations show that the refined BP with scalar messages and the proposed OSD outperforms previous BP-OSD combinations. We achieve thresholds of roughly 17.5%–17.7% for toric, surface, and XZZX codes, and 15.42% for hexagonal planar color codes.