NOTES ON THE FIDELITY OF SYMPLECTIC QUANTUM ERROR-CORRECTING CODES

被引:12
|
作者
Hamada, Mitsuru [1 ]
机构
[1] Japan Sci & Technol Agcy, Quantum Computat & Informat Project, ERATO Program, Bunkyo Ku, Tokyo 1130033, Japan
关键词
Symplectic codes; fidelity; entanglement;
D O I
10.1142/S0219749903000358
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Two observations are given on the fidelity of schemes for quantum information processing. In the first one, we show that the fidelity of a symplectic (stabilizer) code, if properly defined, exactly equals the "probability" of the correctable errors for general quantum channels. The second observation states that for any coding rate below the quantum capacity, exponential convergence of the fidelity of some codes to unity is possible.
引用
收藏
页码:443 / 463
页数:21
相关论文
共 50 条
  • [31] Graphical nonbinary quantum error-correcting codes
    Hu, Dan
    Tang, Weidong
    Zhao, Meisheng
    Chen, Qing
    Yu, Sixia
    Oh, C. H.
    PHYSICAL REVIEW A, 2008, 78 (01):
  • [32] Introduction to Quantum Deletion Error-Correcting Codes
    Hagiwara, Manabu
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2025, E108A (03) : 363 - 375
  • [33] ERROR-CORRECTING CODES
    PETERSON, WW
    SCIENTIFIC AMERICAN, 1962, 206 (02) : 96 - &
  • [34] ERROR-CORRECTING CODES
    LACHAUD, G
    VLADUT, S
    RECHERCHE, 1995, 26 (278): : 778 - 782
  • [35] Constructing quantum error-correcting codes for pm-state systems from classical error-correcting codes
    Matsumoto, R
    Uyematsu, T
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2000, E83A (10) : 1878 - 1883
  • [36] Extending Construction X for Quantum Error-Correcting Codes
    Degwekar, Akshay
    Guenda, Kenza
    Gulliver, T. Aaron
    CODING THEORY AND APPLICATIONS, 4TH INTERNATIONAL CASTLE MEETING, 2015, 3 : 141 - 152
  • [37] Quantum secret sharing based on quantum error-correcting codes
    Zhang Zu-Rong
    Liu Wei-Tao
    Li Cheng-Zu
    CHINESE PHYSICS B, 2011, 20 (05)
  • [38] Quantum secret sharing based on quantum error-correcting codes
    张祖荣
    刘伟涛
    李承祖
    Chinese Physics B, 2011, (05) : 95 - 99
  • [39] Quantum error-correcting codes from the quantum construction X
    Hu, Peng
    Liu, Xiusheng
    QUANTUM INFORMATION PROCESSING, 2023, 22 (10)
  • [40] Cyclic quantum error-correcting codes and quantum shift registers
    Grassl, M
    Beth, T
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2000, 456 (2003): : 2689 - 2706