计算机工程与应用 ›› 2012, Vol. 48 ›› Issue (22): 48-50.

• 研究、探讨 • 上一篇    下一篇

量子纠错码[[7,1,4]]p(p>3)存在性的图论构造方法

程  茜1,于  慧2   

  1. 1.青海师范大学 数学与信息科学系,西宁 810008
    2.大连交通大学 数理系,辽宁 大连 116028
  • 出版日期:2012-08-01 发布日期:2012-08-06

Existence of quantum codes [[7,1,4]]p(p>3) via graphs

CHENG Qian 1, YU Hui 2   

  1. 1.Department of Mathematics, Qinghai Normal University, Xining 810008, China
    2.School of Mathematics & Physics, Dalian Jiaotong University, Dalian, Liaoning 116028, China
  • Online:2012-08-01 Published:2012-08-06

摘要: 利用由Schingemann和Werner两人提出的构造量子纠错码的图论方法,证明了量子纠错码 [[7,1,4]]p(p>3) 的存在性。

关键词: 非二元量子码, 量子稳定子码, 对称矩阵

Abstract: The existence of quantum stabilizer with parameters [[n,k,d]]p=[[7,1,4]]p is showed for all primes (p>3) by using graph machinery, given by Schingemann and Werner, with a little number theory and combinatorics.

Key words: nonbinary quantum codes, quantum stabilizer codes, symmetric matrix