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两个非对称图量子MDS码的构造

程茜 于慧

计算机工程与应用2017,Vol.53Issue(19):61-64,4.
计算机工程与应用2017,Vol.53Issue(19):61-64,4.DOI:10.3778/j.issn.1002-8331.1702-0058

两个非对称图量子MDS码的构造

Construction of two asymmetric graph quantum MDS codes

程茜 1于慧2

作者信息

  • 1. 青海师范大学 数学系,西宁 810008
  • 2. 大连交通大学 数理系,辽宁 大连 116028
  • 折叠

摘要

Abstract

Quantum error correction plays a crucial role in quantum information theory. Schlingemann and Werner presented a new way to construct quantum stabilizer codes by finding certain graphs(or matrices)with specific properties, and they constructed several new nonbinary quantum codes by the way, in particular, they gave a new proof on existence of quantum codes [[5,1,3]]p (p≥3) . The way can be generalized the construction of symmetric quantum codes to the asymmetric case. Using this method, the existence of asymmetric graph quantum MDS codes with parameters [[5,1,4/2]]p and [[7,1,6/2]]p is showed separately for all primes p>5 and p>7 by graph machinery.

关键词

非对称量子码/量子MDS码/图构造

Key words

asymmetric quantum codes/quantum MDS codes/graph construction

分类

数理科学

引用本文复制引用

程茜,于慧..两个非对称图量子MDS码的构造[J].计算机工程与应用,2017,53(19):61-64,4.

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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