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.
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.
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
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).
