渐近好p^m-ary量子码的构造

Construction of Asymptotically Good p^m-ary Quantum Codes

下载PDF

导出

摘要对任意素数p及自然数m,用代数几何码构造了一列渐近好的p^m-ary量子纠错码. This paper applies algebraic-geometric codes to construct a family of asymptot- ically good p^m-ary quantum codes,for any prime power p^m.

作者许丽卿陈豪

机构地区华东师范大学软件学院

出处《数学年刊（A辑）》 CSCD 北大核心 2008年第3期343-348,共6页 Chinese Annals of Mathematics

基金国家自然科学基金(No.90607005 No.60433050)资助的项目

关键词量子码纠错码代数几何码 Quantum codes, Error-correcting codes, Algebraic-geometric codes

分类号 O157.4 [理学—基础数学]

引文网络
相关文献

参考文献21

1Calderbank R. A. and Shor P. W., Good quantum error-correcting codes exist [J], Phys. Rev. A, 1996, 54:1098-1105.
2Shor P. W., Scheme for reducing decoherence in quantum computer memory [J], Phys. Rev. A, 1995, 52:2493-2496.
3Steane A. M., Multiple particle interference and quantum error correction [J], Proc. Roy. Soc. London, 1996, 452(A):2551-2577.
4Calderbank R. A., Rains E. M., Shor P. W. and Sloane N. J. A., Quantum error correction via codes over GF(4) [J], IEEE Trans. Inform. Theory, 1998, 44:1369-1387.
5Calderbank R. A., Rains E. M., Shor P. W. and Sloane N. J. A., Quantum error correction and orthogonal geometry [J], Phys. Rev. Lett., 1997, 78:405-408.
6Chen H., Some good quantum error-correcting codes from algebraic-geometric codes [J], IEEE Trans. Inform. Theory, 2001, 47:2059-2061.
7Cohen G., Encheva S. and Litsyn S., On binary construction of quantum codes [J], IEEE Trans. Inform. Theory, 1999, 45:2495-2498.
8Rains E. M., Nonbinary quantum codes [J], IEEE Trans. Inform. Theory, 1999, 45:1872-1832.
9Steane A. M., Quantum Reed-Muller codes [J], IEEE Trans. Inform. Theory, 1999, 45:1701-1703.
10Steane A. M., Enlargement of Calderbank-Shor-Steane quantum codes [J], IEEE Trans. Inform. Theory, 1999, 45:2492-2495.

1ZHANG Peng-cheng FU Fang-wei CHANG Zu-ling.An upper bound on the size of m-ary t-sEC/AUED codes[J].The Journal of China Universities of Posts and Telecommunications,2006,13(4):95-97.
2Qing Lin LU Zheng Ke MIAO.Congruences for a Restricted m-ary Overpartition Function[J].Journal of Mathematical Research and Exposition,2010,30(5):939-943.
3刘红美.并行计算网络中m-ary n-cube的拓扑性[J].武汉理工大学学报（交通科学与工程版）,2006,30(2):340-343. 被引量：1
4CHEN Shi-chao,CHE Ying-tao.On a Restrict m-ary Partition Function[J].Chinese Quarterly Journal of Mathematics,2012,27(2):165-168.
5李建龙.M-ary information processing via an optimal nonlinear detector[J].Chinese Physics B,2009,18(12):5196-5202.
6陈高波.基于自适应多分类最小二乘支持向量机的大学生就业预测[J].甘肃科技,2010,26(11):45-47. 被引量：1
7张文博,潘董威,宿晓飞,张晓光,席丽霞,唐先锋.Pilot-added carrier-phase recovery scheme for Nyquist M-ary quadrature amplitude modulation optical fiber communication system[J].Chinese Optics Letters,2016,14(2):6-10. 被引量：1
8杜树新,吴铁军.模式识别中的支持向量机方法[J].浙江大学学报（工学版）,2003,37(5):521-527. 被引量：118

数学年刊（A辑）

2008年第3期

浏览历史

内容加载中请稍等...

渐近好p^m-ary量子码的构造

参考文献21

相关作者

相关机构

相关主题

浏览历史