General tensor network decoding of 2D Pauli codes

Christopher T. Chubb · 2021 · arXiv (later Quantum)

| 编号 QE255 | 主题 译码算法 | 链接 arXiv:2101.04125 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

We develop a general tensor network decoder for 2D codes, approximating maximum likelihood decoding for 2D stabiliser and subsystem codes subject to Pauli noise, with runtime O(n log n + n chi^3). We numerically demonstrate the power of this decoder on regular surface codes, irregular surface codes, subsystem surface codes and colour codes under bit-flip, phase-flip and depolarising noise, with thresholds state-of-the-art and numerically consistent with optimal. Novel is an efficient approximate contraction scheme for arbitrary 2D tensor networks, released as the Julia package SweepContractor.jl.

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