期刊名称：American Journal of Applied Mathematics and Statistics
印刷版ISSN：2328-7306
电子版ISSN：2328-7292
出版年度：2015
卷号：3
期号：2
页码：76-79
DOI：10.12691/ajams-3-2-6
语种：English
出版社：Science and Education Publishing
摘要：From last fourteen years the work on undetected error probability for quantum codes has been silent. The undetected error probability has been discussed by Ashikhmin [3] in which it was proved that the average probability of undetected error for a given code is essentially given by a function of its weight enumerators. In this paper, new upper bounds on undetected error probability for quantum codes used for error detection on depolarization channel are given. It has also been established that the probability of undetected errors for quantum codes over depolarization channel do satisfy the upper bound analogous to classical codes.
关键词：additive codes; stabilizer; pure and impure codes; weight enumerator; probability of undetected error
