Quantum Reed-Muller codes

被引:84
|
作者
Steane, AM [1 ]
机构
[1] Univ Oxford, Dept Phys, Clarendon Lab, Oxford OX1 3PU, England
关键词
quantum error correction; Reed-Muller code; stabilizer;
D O I
10.1109/18.771249
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A set of quantum error-correcting codes based on classical Reed-Muller codes is described. The codes have parameters [[n, k, d]] = [[2(r), 2(r) - C(r, t) - 2 (i=0)Sigma(t-1) C(r, i), 2(t) + 2(t-1)]].
引用
收藏
页码:1701 / 1703
页数:3
相关论文
共 50 条
  • [1] Quaternary Quantum Reed-Muller Codes
    Yuan, Li
    2016 3RD INTERNATIONAL CONFERENCE ON SYSTEMS AND INFORMATICS (ICSAI), 2016, : 1170 - 1174
  • [2] Nonbinary quantum Reed-Muller codes
    Sarvepalli, PK
    Klappenecker, A
    2005 IEEE International Symposium on Information Theory (ISIT), Vols 1 and 2, 2005, : 1023 - 1027
  • [3] Reed-Muller Codes
    Abbe, Emmanuel
    Sberlo, Ori
    Shpilka, Amir
    Ye, Min
    FOUNDATIONS AND TRENDS IN COMMUNICATIONS AND INFORMATION THEORY, 2023, 20 (1-2): : 1 - 156
  • [4] ON THE REED-MULLER CODES
    ASSMUS, EF
    DISCRETE MATHEMATICS, 1992, 106 : 25 - 33
  • [5] Testing Reed-Muller codes
    Alon, N
    Kaufman, T
    Krivelevich, M
    Litsyn, S
    Ron, D
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (11) : 4032 - 4039
  • [6] PROJECTIVE REED-MULLER CODES
    LACHAUD, G
    LECTURE NOTES IN COMPUTER SCIENCE, 1988, 311 : 125 - 129
  • [7] Quaternary Reed-Muller codes
    Borges, J
    Fernández, C
    Phelps, KT
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (07) : 2686 - 2691
  • [8] ON A CONJECTURE ON REED-MULLER CODES
    WASAN, SK
    GAMES, RA
    INTERNATIONAL JOURNAL OF ELECTRONICS, 1984, 56 (02) : 269 - 271
  • [9] Reed-Muller Codes Polarize
    Abbe, Emmanuel
    Ye, Min
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, 66 (12) : 7311 - 7332
  • [10] GENERALIZED REED-MULLER CODES
    KASAMI, T
    LIN, S
    PETERSON, WW
    ELECTRONICS & COMMUNICATIONS IN JAPAN, 1968, 51 (03): : 96 - &