Some new entanglement-assisted quantum error-correcting MDS codes from generalized Reed-Solomon codes

被引：6
|
作者：
Tian, Fuyin [1 ]
Zhu, Shixin [1 ]
机构：
[1] HeFei Univ Technol, Sch Math, Hefei 230009, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2020年 / 19卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Entanglement-assisted quantum error-correcting MDS codes; Generalized Reed-Solomon codes; Hermitian hull; CONSTACYCLIC CODES; MINIMUM DISTANCE;
D O I：
10.1007/s11128-020-02704-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Entanglement-assisted quantum maximum distance separable (MDS) codes form a significant class of quantum codes. By using generalized Reed-Solomon (GRS) codes and extended GRS codes, we construct some new classes of q-ary entanglement-assisted quantum error-correcting MDS codes. Most of these codes are new in the sense that their parameters are not covered by the codes available in the literature.
引用
收藏
页数：28
相关论文
共 50 条
  • [1] Some new entanglement-assisted quantum error-correcting MDS codes from generalized Reed–Solomon codes
    Fuyin Tian
    Shixin Zhu
    Quantum Information Processing, 2020, 19
  • [2] Entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes
    Li, Lanqiang
    Zhu, Shixin
    Liu, Li
    Kai, Xiaoshan
    QUANTUM INFORMATION PROCESSING, 2019, 18 (05)
  • [3] Entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes
    Jin, Renjie
    Cao, Yiran
    Luo, Jinquan
    QUANTUM INFORMATION PROCESSING, 2021, 20 (02)
  • [4] New Entanglement-Assisted Quantum MDS Codes Derived From Generalized Reed-Solomon Codes
    Guo, Guanmin
    Li, Ruihu
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2020, 59 (04) : 1241 - 1254
  • [5] New Entanglement-Assisted Quantum MDS Codes Derived From Generalized Reed-Solomon Codes
    Guanmin Guo
    Ruihu Li
    International Journal of Theoretical Physics, 2020, 59 : 1241 - 1254
  • [6] Constructions of entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes
    Zheng, Xiujing
    Wang, Liqi
    Zhu, Shixin
    QUANTUM INFORMATION PROCESSING, 2024, 23 (03)
  • [7] Two new families of entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes
    Luo, Gaojun
    Cao, Xiwang
    QUANTUM INFORMATION PROCESSING, 2019, 18 (03)
  • [8] Three new classes of entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes
    Li, Lanqiang
    Zhu, Shixin
    Liu, Li
    QUANTUM INFORMATION PROCESSING, 2019, 18 (12)
  • [9] Two classes of entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes
    Wang, Weiwei
    Li, Jiantao
    QUANTUM INFORMATION PROCESSING, 2022, 21 (07)
  • [10] Entanglement-assisted quantum MDS codes from generalized Reed–Solomon codes
    Lanqiang Li
    Shixin Zhu
    Li Liu
    Xiaoshan Kai
    Quantum Information Processing, 2019, 18
12345