Decoding schemes for foliated sparse quantum error-correcting codes

Decoding schemes for foliated sparse quantum error-correcting codes
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叶状稀疏量子纠错码的解码方案

DOI:
10.1103/physreva.98.062302
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发表时间:
2018
期刊:
影响因子:
2.9
通讯作者:
T. Stace
T. Stace
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Bolt;D. Poulin;T. Stace

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Foliated量子代码是用于基于容忍故障测量的量子误差校正和量子计算的资源。它们代表了将一系列可能的量子误差校正代码集成到较大的耐故障网络中的一般方法。在这里,我们基于原始代码和双代码“纸”之间传递的消息,为叶面量子代码提供了一个有效的启发式解码方案。我们在两个不同的稀疏量子错误校正代码的不同家族上测试该解码器:涡轮代码和自行车代码,并显示出相当高的数值性能阈值。我们还提出了建立此类代码状态的施工时间表。
Foliated quantum codes are a resource for fault-tolerant measurement-based quantum error correction for quantum repeaters and for quantum computation. They represent a general approach to integrating a range of possible quantum error correcting codes into larger fault-tolerant networks. Here, we present an efficient heuristic decoding scheme for foliated quantum codes, based on message passing between primal and dual code "sheets." We test this decoder on two different families of sparse quantum error correcting code: turbo codes and bicycle codes, and show reasonably high numerical performance thresholds. We also present a construction schedule for building such code states.
DOI: 10.1088/1367-2630/12/9/093032
发表时间: 2010-09-22
影响因子: 3.3
作者:
Barrett, Sean D.;Rohde, Peter P.;Stace, Thomas M.
通讯作者: Stace, Thomas M.