Fault-Tolerance of “Bad” Quantum Low Density Parity Check Codes

Alexey A. Kovalev, Leonid P. Pryadko · 2013 · Phys. Rev. A 87, 020304(R)

| 编号 QE246 | 主题 译码算法 | 链接 arXiv:1208.2317 |

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 discuss error-correction properties and fault-tolerance of families of finite-rate quantum LDPC codes whose relative distance tends to zero. For random uncorrelated (qu)bit errors, we establish the existence of and give a lower bound for the single (qu)bit error rate below which decoding with probability one is possible, by separating errors into small independent clusters on a graph. Measurement errors are handled with an auxiliary classical code combining different time slices, generalizing the gauge model used in surface code decoding.

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