Entanglement-assisted quantum codes from matrix-product codes

被引:24
|
作者
Liu, Xiusheng [1 ]
Liu, Hualu [1 ]
Yu, Long [1 ]
机构
[1] Hubei Polytech Univ, Sch Math & Phys, Huangshi 435003, Hubei, Peoples R China
关键词
Entanglement-assisted quantum codes; Matrix-product codes; Parity check matrix; MDS CODES; CONSTACYCLIC CODES;
D O I
10.1007/s11128-019-2300-z
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Entanglement-assisted quantum codes are studied from classical matrix-product codes point of view. Four methods to construct Entanglement-assisted quantum codes from matrix-product codes are provided. These constructions are applied to obtain numerous new Entanglement-assisted quantum codes, some of which have good parameters.
引用
收藏
页数:15
相关论文
共 50 条
  • [21] Entanglement-assisted quantum MDS codes constructed from constacyclic codes
    Xiaojing Chen
    Shixin Zhu
    Xiaoshan Kai
    Quantum Information Processing, 2018, 17
  • [22] Entanglement-assisted quantum MDS codes constructed from constacyclic codes
    Chen, Xiaojing
    Zhu, Shixin
    Kai, Xiaoshan
    QUANTUM INFORMATION PROCESSING, 2018, 17 (10)
  • [23] Entanglement-assisted quantum codes from arbitrary binary linear codes
    Jianfa Qian
    Lina Zhang
    Designs, Codes and Cryptography, 2015, 77 : 193 - 202
  • [24] Entanglement-assisted quantum MDS codes constructed from negacyclic codes
    Jianzhang Chen
    Yuanyuan Huang
    Chunhui Feng
    Riqing Chen
    Quantum Information Processing, 2017, 16
  • [25] New entanglement-assisted MDS quantum codes from constacyclic codes
    Koroglu, Mehmet E.
    QUANTUM INFORMATION PROCESSING, 2019, 18 (02)
  • [26] New entanglement-assisted MDS quantum codes from constacyclic codes
    Mehmet E. Koroglu
    Quantum Information Processing, 2019, 18
  • [27] Entanglement-assisted quantum codes from quaternary codes of dimension five
    Lu, Liangdong
    Li, Ruihu
    Guo, Luobin
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2017, 15 (03)
  • [28] On entanglement-assisted quantum codes achieving the entanglement-assisted Griesmer bound
    Li, Ruihu
    Li, Xueliang
    Guo, Luobin
    QUANTUM INFORMATION PROCESSING, 2015, 14 (12) : 4427 - 4447
  • [29] On entanglement-assisted quantum codes achieving the entanglement-assisted Griesmer bound
    Ruihu Li
    Xueliang Li
    Luobin Guo
    Quantum Information Processing, 2015, 14 : 4427 - 4447
  • [30] An application of constacyclic codes to entanglement-assisted quantum MDS codes
    Mustafa Sarı
    Emre Kolotoğlu
    Computational and Applied Mathematics, 2019, 38