一类纠缠辅助量子纠错码的构造  

CONSTRUCTION OF A CLASS OF ENTANGLEMENT-ASSISTED QUANTUM ERROR-CORRECTING CODES

作　　者：黄山 HUANG Shan(Anhui Vocational College of Police Officers,Hefei,Anhui 230031,China)

机构地区：[1]安徽警官职业学院,安徽合肥230031

出　　处：《井冈山大学学报（自然科学版）》2022年第5期8-13,共6页Journal of Jinggangshan University (Natural Science)

基　　金：国家自然科学基金项目(62002093);安徽省高校自然科学重点项目(KJ2021A1469,KJ2020A1059,KJ2020A1058)。

摘　　要：利用重根循环码构造了纠缠辅助量子纠错码。首先确定了有限域GF(p)上长度为2 p^(s)的循环码与其对偶码交的维数,然后确定了GF(p)上长度为2 p^(s)的循环码的最小距离,最后利用CSS构造方法,由这类重根循环码构造了几类纠缠辅助量子纠错码。Entanglement-assisted quantum error-correcting codes are constructed by repeated-root cyclic codes.First,the dimension of intersection of cyclic codes with length 2p^(s) and their dual code over GF(p)is determined.Then,the minimum distance of cyclic codes with length 2p^(s) over GF(p)is determined.Finally,several classes of entanglement-assisted quantum error-correcting codes are constructed from this class of repeated-root cyclic codes by CSS construction.

关 键 词：纠缠辅助量子纠错码 循环码 重根循环码 

分 类 号：O157.4[理学—数学]