计算机工程与应用2013,Vol.49Issue(6):16-18,3.DOI:10.3778/j.issn.1002-8331.1210-0304
利用立方图的线图构造量子纠错码
Construction of quantum codes from line graph of cube
摘要
Abstract
Quantum error-correcting codes play an important role in not only quantum communication but also quantum computation. Many good quantum error-correcting codes have been constructed by using classical linear codes, for example, Hamming codes, BCH codes, RS codes and Reed-Muller codes. A new method to obtain quantum codes and asymmetric quantum codes is presented. Based on line graph of the n-cube, infinite families of new quantum codes and asymmetric quantum codes are presented. Moreover, if the length of asymmetric quantum codes is large, the asymmetric quantum codes are able to correct quantum errors with great asymmetry.关键词
量子纠错码/非对称量子纠错码/立方图/线性码Key words
quantum error-correcting codes/ asymmetric quantum error-correcting codes/ n-cube/ linear code分类
信息技术与安全科学引用本文复制引用
钱建发,张莉娜..利用立方图的线图构造量子纠错码[J].计算机工程与应用,2013,49(6):16-18,3.基金项目
国家自然科学基金(No.11126029) (No.11126029)
安徽省自然科学基金(No.10040606Q14) (No.10040606Q14)
安徽高校省级科学研究项目(No.KJ2011A087). (No.KJ2011A087)