Quantum codes from nearly self-orthogonal quaternary linear codes

被引：25

作者：

Lisonek, Petr ^{[1
]}

Singh, Vijaykumar ^{[1
]}

机构：

[1] Simon Fraser Univ, Dept Math, Burnaby, BC V5A 1S6, Canada

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2014年 / 73卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Quantum error-correcting code; Linear code; Construction X;

D O I：

10.1007/s10623-014-9934-8

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Construction X and its variants are known from the theory of classical error control codes. We present instances of these constructions that produce binary stabilizer quantum error control codes from arbitrary quaternary linear codes. Our construction does not require the classical linear code that is used as the ingredient to satisfy the dual containment condition, or, equivalently, is not required to satisfy the self-orthogonality condition. We prove lower bounds on the minimum distance of quantum codes obtained from our construction. We give examples of record breaking quantum codes produced from our construction. In these examples, the ingredient code is nearly dual containing, or, equivalently, is nearly self-orthogonal, by which we mean that is positive but small.

引用

页码：417 / 424

页数：8