LOCAL DECODERS FOR THE 2D AND 4D TORIC CODE

被引：0
|
作者：
Breuckmann, Nikolas P. [1 ]
Duivenvoorden, Kasper [1 ]
Michels, Dominik [1 ]
Terhal, Barbara M. [1 ]
机构：
[1] Rhein Westfal TH Aachen, JARA Inst Quantum Informat, Otto Blumenthal Str 20, D-52074 Aachen, Nordrhein Westf, Germany
来源：
QUANTUM INFORMATION & COMPUTATION | 2017年 / 17卷 / 3-4期
基金：
欧洲研究理事会;
关键词：
QUANTUM ERROR-CORRECTION; ACCURACY THRESHOLD; COMPUTATION;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We analyze the performance of decoders for the 2D and 4D toric code which are local by construction. The 2D decoder is a cellular automaton decoder formulated by Harrington [1] which explicitly has a finite speed of communication and computation. For a model of independent X and Z errors and faulty syndrome measurements with identical probability, we report a threshold of 0.133% for this Harrington decoder. We implement a decoder for the 4D toric code which is based on a decoder by Hastings [2]. Incorporating a method for handling faulty syndromes we estimate a threshold of 1.59% for the same noise model as in the 2D case. We compare the performance of this decoder with a decoder based on a 4D version of Toom's cellular automaton rule as well as the decoding method suggested by Dennis et al. [3].
引用
收藏
页码：181 / 208
页数：28
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