Entanglement-assisted quantum codes from arbitrary binary linear codes

被引：54

作者：

Qian, Jianfa ^{[1
]}

Zhang, Lina ^{[1
]}

机构：

[1] Anhui Univ Sci & Technol, Coll Sci, Huainan 232007, Peoples R China

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2015年 / 77卷 / 01期

基金：

美国国家科学基金会;

关键词：

Entanglement-assisted quantum error-correcting code; Quantum errorcorrecting code; Linear code; Parity-check matrix;

D O I：

10.1007/s10623-014-9997-6

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

It is possible to construct an entanglement-assisted quantum error-correcting (EAQEC, for short) code from any classical linear code. However, the parameter of ebits is usually calculated by computer search. In this work, we can construct a family of EAQEC codes from arbitrary binary linear codes, where the parameter of ebits can be easily generated algebraically and not by computational search. Moreover, the constructed EAQEC codes are maximal-entanglement EAQEC codes. We also present a different method of constructing entanglement-assisted accumulator codes. Finally, we prove that asymptotically good EAQEC codes exist.

引用

页码：193 / 202

页数：10

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