FAULT-TOLERANT QUANTUM ERROR CORRECTION CODE CONVERSION

被引：0

作者：

Hill, Charles D. ^{[1
]}

Fowler, Austin G. ^{[1
]}

Wang, David S. ^{[1
]}

Hollenberg, Lloyd C. L. ^{[1
]}

机构：

[1] Univ Melbourne, Sch Phys, Ctr Quantum Computat & Commun Technol, Melbourne, Vic 3010, Australia

来源：

QUANTUM INFORMATION & COMPUTATION | 2013年 / 13卷 / 5-6期

基金：

澳大利亚研究理事会;

关键词：

Quantum error correction; Quantum computing;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we demonstrate how data encoded in a five-qubit quantum error correction code can be converted, fault-tolerantly, into a seven-qubit Steane code. This is achieved by progressing through a series of codes, each of which fault-tolerantly corrects at least one error. Throughout the conversion the encoded qubit remains protected. We found, through computational search, that the method used to convert between codes given in this paper is optimal.

引用

页码：439 / 451

页数：13

共 50 条

[1] Fault-tolerant quantum error correction code preparation in UBQC
Zhao, Qiang
Li, Qiong
Mao, Haokun
Wen, Xuan
Han, Qi
Li, Minghui
[J]. QUANTUM INFORMATION PROCESSING, 2020, 19 (08)
[2] Fault-tolerant thresholds for quantum error correction with the surface code
Stephens, Ashley M.
[J]. PHYSICAL REVIEW A, 2014, 89 (02):
[3] Fault-tolerant quantum error correction code preparation in UBQC
Qiang Zhao
Qiong Li
Haokun Mao
Xuan Wen
Qi Han
Minghui Li
[J]. Quantum Information Processing, 2020, 19
[4] QUANTUM ERROR CORRECTION AND FAULT-TOLERANT QUANTUM COMPUTING
Gaitan, Frank
Li, Ran
[J]. DECOHERENCE SUPPRESSION IN QUANTUM SYSTEMS 2008, 2010, 3 : 53 - +
[5] Fault-tolerant error correction with the gauge color code
Brown, Benjamin J.
Nickerson, Naomi H.
Browne, Dan E.
[J]. NATURE COMMUNICATIONS, 2016, 7
[6] Fault-tolerant error correction with the gauge color code
Benjamin J. Brown
Naomi H. Nickerson
Dan E. Browne
[J]. Nature Communications, 7
[7] An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation
Gottesman, Daniel
[J]. QUANTUM INFORMATION SCIENCE AND ITS CONTRIBUTIONS TO MATHEMATICS, 2010, 68 : 13 - 58
[8] Message passing in fault-tolerant quantum error correction
Evans, Zachary W. E.
Stephens, Ashley M.
[J]. PHYSICAL REVIEW A, 2008, 78 (06)
[9] Fault-tolerant error correction with efficient quantum codes
DiVincenzo, DP
Shor, PW
[J]. PHYSICAL REVIEW LETTERS, 1996, 77 (15) : 3260 - 3263
[10] Demonstration of Fault-Tolerant Steane Quantum Error Correction
Postler, Lukas
Butt, Friederike
Pogorelov, Ivan
Marciniak, Christian D.
Heussen, Sascha
Blatt, Rainer
Schindler, Philipp
Rispler, Manuel
Mueller, Markus
Monz, Thomas
[J]. PRX QUANTUM, 2024, 5 (03):

← 1 2 3 4 5 →