Some entanglement-assisted quantum MDS codes with large minimum distance

被引：1
|
作者：
Wang, Guohui [1 ,2 ]
Tang, Chunming [1 ,3 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[2] Qinghai Univ, Sch Math & Phys, Xining 810016, Peoples R China
[3] Guangdong Prov Key Lab Informat Secur Technol, Guangzhou 510006, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2022年 / 21卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Quantum MDS codes; Entanglement-assisted quantum error-correcting codes; Generalized Reed-Solomon codes; CONSTRUCTION;
D O I：
10.1007/s11128-022-03635-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The construction of quantum maximum-distance-separable (MDS) error-correcting codes has become one of the hot topics in quantum coding theory. In this paper, based on classical Hermitian self-orthogonal generalized Reed-Solomon (GRS) codes, we construct some quantum MDS codes with large minimum distance. In addition, we obtain several families of MDS entanglement-assisted quantum error-correcting codes (EAQECCs) with flexible parameters. Notably, some of the distance parameters of our codes are greater than q/2 + 1.
引用
收藏
页数：20
相关论文
共 50 条
  • [1] Some entanglement-assisted quantum MDS codes with large minimum distance
    Guohui Wang
    Chunming Tang
    [J]. Quantum Information Processing, 21
  • [2] Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance
    Lu, Liangdong
    Ma, Wenping
    Li, Ruihu
    Ma, Yuena
    Liu, Yang
    Cao, Hao
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2018, 53 : 309 - 325
  • [3] New entanglement-assisted quantum MDS codes with larger minimum distance
    Pang, Binbin
    Zhu, Shixin
    Li, Fulin
    Chen, Xiaojing
    [J]. QUANTUM INFORMATION PROCESSING, 2020, 19 (07)
  • [4] New entanglement-assisted quantum MDS codes with larger minimum distance
    Binbin Pang
    Shixin Zhu
    Fulin Li
    Xiaojing Chen
    [J]. Quantum Information Processing, 2020, 19
  • [5] Some construction of entanglement-assisted quantum MDS codes
    Guanmin Guo
    Ruihu Li
    Yang Liu
    Junli Wang
    [J]. Quantum Information Processing, 2020, 19
  • [6] Some construction of entanglement-assisted quantum MDS codes
    Guo, Guanmin
    Li, Ruihu
    Liu, Yang
    Wang, Junli
    [J]. QUANTUM INFORMATION PROCESSING, 2020, 19 (07)
  • [7] Application of GRS codes to some entanglement-assisted quantum MDS codes
    Wang, Guohui
    Tang, Chunming
    [J]. QUANTUM INFORMATION PROCESSING, 2022, 21 (03)
  • [8] Cyclic codes and some new entanglement-assisted quantum MDS codes
    Xiaojing Chen
    Shixin Zhu
    Wan Jiang
    [J]. Designs, Codes and Cryptography, 2021, 89 : 2533 - 2551
  • [9] Cyclic codes and some new entanglement-assisted quantum MDS codes
    Chen, Xiaojing
    Zhu, Shixin
    Jiang, Wan
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2021, 89 (11) : 2533 - 2551
  • [10] Application of GRS codes to some entanglement-assisted quantum MDS codes
    Guohui Wang
    Chunming Tang
    [J]. Quantum Information Processing, 2022, 21
12345