New entanglement-assisted quantum error-correcting codes from negacyclic codes

被引：0
|
作者：
Chen, Xiaojing [1 ]
Lu, Xingbo [1 ]
Zhu, Shixin [2 ,3 ]
Jiang, Wan [4 ]
Wang, Xindi [1 ]
机构：
[1] Anhui Univ, Sch Internet, Hefei 230039, Anhui, Peoples R China
[2] Hefei Univ Technol, Sch Math, Hefei 230601, Anhui, Peoples R China
[3] Hefei Univ Technol, Key Lab Knowledge Engn Big Data, Minist Educ, Hefei 230601, Anhui, Peoples R China
[4] Hefei Univ Technol, Sch Comp & Informat, Hefei 230601, Anhui, Peoples R China
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2024年 / 92卷 / 05期
基金：
中国国家自然科学基金;
关键词：
EAQEC codes; Negacyclic codes; EAQMDS codes; Defining set; MDS CODES;
D O I：
10.1007/s10623-023-01335-0
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Entanglement-assisted quantum error-correcting (EAQEC) codes are a generalization of quantum error-correcting (QEC) codes, which can be constructed from arbitrary classical linear codes by relaxing the dual-containing condition and by using preshared entangled states between the sender and the receiver. In this paper, we investigate EAQEC codes of length n = 2(q(2)+1)/a, where q is an odd prime power, a = m(2) + 1 and m is an odd integer. The resulting EAQEC codes are entanglement-assisted quantum maximum-distance-separable (EAQMDS) codes when the minimum distance d <= n+2/2.
引用
收藏
页码：1163 / 1174
页数：12
相关论文
共 50 条
  • [1] New entanglement-assisted quantum error-correcting codes from negacyclic codes
    Xiaojing Chen
    Xingbo Lu
    Shixin Zhu
    Wan Jiang
    Xindi Wang
    Designs, Codes and Cryptography, 2024, 92 : 1163 - 1174
  • [2] Entanglement-Assisted Quantum Error-Correcting Codes
    Devetak, Igor
    Brun, Todd A.
    Hsieh, Min-Hsiu
    NEW TRENDS IN MATHEMATICAL PHYSICS, 2009, : 161 - +
  • [3] General entanglement-assisted quantum error-correcting codes
    Hsieh, Min-Hsiu
    Devetak, Igor
    Brun, Todd
    PHYSICAL REVIEW A, 2007, 76 (06):
  • [4] General entanglement-assisted quantum error-correcting codes
    Brun, Todd A.
    Devetak, Igor
    Hsieh, Min-Hsiu
    2007 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS, VOLS 1-7, 2007, : 2101 - 2105
  • [5] Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
    Galindo, Carlos
    Hernando, Fernando
    Matsumoto, Ryutaroh
    Ruano, Diego
    IEEE ACCESS, 2020, 8 : 18571 - 18579
  • [6] Steane enlargement of entanglement-assisted quantum error-correcting codes
    Carlos Galindo
    Fernando Hernando
    Ryutaroh Matsumoto
    Computational and Applied Mathematics, 2023, 42
  • [7] Steane enlargement of entanglement-assisted quantum error-correcting codes
    Galindo, Carlos
    Hernando, Fernando
    Matsumoto, Ryutaroh
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (06):
  • [8] Entanglement-assisted quantum error-correcting codes with imperfect ebits
    Lai, Ching-Yi
    Brun, Todd A.
    PHYSICAL REVIEW A, 2012, 86 (03):
  • [9] ENTANGLEMENT-ASSISTED QUANTUM ERROR-CORRECTING CODES CONSTRUCTED FROM IRREGULAR REPEAT ACCUMULATE CODES
    Wang, Yunjiang
    Bai, Baoming
    Zhao, Wenbo
    Wang, Xinmei
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2009, 7 (07) : 1373 - 1389
  • [10] Entanglement-assisted quantum codes from cyclic codes and negacyclic codes
    Junli Wang
    Ruihu Li
    Jingjie Lv
    Hao Song
    Quantum Information Processing, 2020, 19
12345