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Construction of nonbinary quantum cyclic codes by using graph method

查看全文 作  者:LIU Tailin1,2,3, WEN Qiaoyan1 & LIU Zihui4 1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;2. State Key Laboratory of Integrated Services Network, Xidian University, Xi’an 710071,China;3. Shandong Finance Institute, Jinan 250014, China;4. School of Mathematical Sciences, Peking University, Beijing 100871, China 高影响力作者 出  处:《Science in China(Series F)》索引2005年第48卷第6期,共10页高影响力期刊 基  金:This work was supported by the National Natural Science Foundation of China(Grant No.60373059);the National Research Foundation for the Doctoral Program of Higher Education of China(Grant No.20040013007);the ISN Open Foundation, and the National Laboratory for Moderm Communications Science Foun-dation of China (Grant No.51436020103DZ4001). 摘  要:Using the graph method proposed by Schlingemann and Werner, this paper introduces a technique to construct nonbinary quantum cyclic codes and provides a specific example. We also construct the quantum codes [[8,2,4]]p and [[n, n - 2,2]]p for all odd primes p by the graph method. 关 键 词:非二进制量子循环码 图表法 稳定器 量子信息理论
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