Extending Construction X for Quantum Error-Correcting Codes

被引：4
|
作者：
Degwekar, Akshay [1 ]
Guenda, Kenza [2 ]
Gulliver, T. Aaron [3 ]
机构：
[1] Indian Inst Technol Madras, Dept Comp Sci & Engn, Madras, Tamil Nadu, India
[2] Univ Sci & Technol Algiers, USTHB, Fac Math, Bab Ezzouar, Algeria
[3] Univ Victoria, Dept Elect & Comp Engn, Victoria, BC, Canada
来源：
CODING THEORY AND APPLICATIONS, 4TH INTERNATIONAL CASTLE MEETING | 2015年 / 3卷
关键词：
Quantum codes; Construction X; Optimal codes; Cyclic codes;
D O I：
10.1007/978-3-319-17296-5_14
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we extend the work of Lisonek and Singh on construction X for quantum error-correcting codes to finite fields of order p(2) where p is prime. Further, we give some new results on the Hermitian dual of repeated root cyclic codes. These results are used to construct new quantum error-correcting codes.
引用
收藏
页码：141 / 152
页数：12
相关论文
共 50 条
  • [21] Effect of quantum fluctuation in error-correcting codes
    Otsubo, Yosuke
    Inoue, Jun-ichi
    Nagata, Kenji
    Okada, Masato
    PHYSICAL REVIEW E, 2012, 86 (05):
  • [22] Convolutional and block quantum error-correcting codes
    Grassl, Markus
    PROCEEDINGS OF 2006 IEEE INFORMATION THEORY WORKSHOP, 2006, : 144 - 148
  • [23] Quantum Error-Correcting Codes with a Covariant Encoding
    Denys, Aurelie
    Leverrier, Anthony
    PHYSICAL REVIEW LETTERS, 2024, 133 (24)
  • [24] Single Quantum Deletion Error-Correcting Codes
    Nakayama, Ayumu
    Hagiwara, Manabu
    PROCEEDINGS OF 2020 INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY AND ITS APPLICATIONS (ISITA2020), 2020, : 329 - 333
  • [25] Quantum illumination assistant with error-correcting codes
    Zhang, Wen-Zhao
    Ma, Yu-Han
    Chen, Jing-Fu
    Sun, Chang-Pu
    NEW JOURNAL OF PHYSICS, 2020, 22 (01):
  • [26] Good quantum error-correcting codes exist
    Phys Rev A, 2 (1098):
  • [27] Error-correcting codes for adiabatic quantum computation
    Jordan, Stephen P.
    Farhi, Edward
    Shor, Peter W.
    PHYSICAL REVIEW A, 2006, 74 (05):
  • [28] Quantum variational learning for quantum error-correcting codes
    Cao, Chenfeng
    Zhang, Chao
    Wu, Zipeng
    Grassl, Markus
    Zeng, Bei
    QUANTUM, 2022, 6
  • [29] Error-correcting codes for fermionic quantum simulation
    Chen, Yu-An
    Gorshkov, Alexey, V
    Xu, Yijia
    SCIPOST PHYSICS, 2024, 16 (01):
  • [30] Quantum error-correcting codes associated with graphs
    Schlingemann, D
    Werner, RF
    PHYSICAL REVIEW A, 2002, 65 (01): : 8
12345