摘要
非对称量子纠错码是针对量子通信中不同类型量子错误发生的概率而设计的有效编码方案.纠错性能良好的量子码在量子通信的真实性和可靠性方面起着决定性的作用.本文首先通过研究分圆陪集的性质确定出非本原狭义BCH码满足Hermitian对偶包含的条件;其次,利用推广的CSS构造法构造出一系列特殊码长的非对称量子BCH码;最后,给出了m分别为3和5的两类非对称量子BCH码维数,它们的z-距离远大于已有文献中的结论,因而提高了非对称量子信道中对相位错误的纠错能力.
Asymmetric quantum codes are an efficient coding scheme against different kinds of quantum errors in quantum communication,which occurs with different probability.The good quantum codes play a decisive role in ensuring the authenticity and reliability of quantum communication.In this paper,we first present Hermitian dual-containing conditions of the imprimitive narrow-sense BCH codes by a detailed analysis of cyclotomic cosets.Secondly,a series of asymmetric quantum BCH codes with special code length are constructed via the generalized CSS construction.Finally,dimensions of two types of asymmetric quantum BCH codes are determined for m as 3 and 5 respectively,whose z distances are much greater than the results in the literature.Hence,the error-correcting ability to the phase errors can be further improved.
作者
马月娜
冯晓毅
刘杨
郭冠敏
MA Yue-na;FENG Xiao-yi;LIU Yang;GUO Guan-min(Department of Basic Sciences,Air Force Engineering University,Xi’an,Shaanxi 710051,China;School of Electronics and Information,Northwestern Polytechnical University,Xi’an,Shaanxi 710072,China)
出处
《电子学报》
EI
CAS
CSCD
北大核心
2019年第11期2311-2316,共6页
Acta Electronica Sinica
基金
国家自然科学基金面上项目(No.11471011)
国家自然科学基金青年项目(No.11801564)
