Fault-tolerant error correction with efficient quantum codes

被引:276
作者
DiVincenzo, DP [1 ]
Shor, PW [1 ]
机构
[1] AT&T BELL LABS,RES,MURRAY HILL,NJ 07974
关键词
D O I
10.1103/PhysRevLett.77.3260
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We exhibit a simple, systematic procedure for detecting and correcting errors using any of the recently reported quantum error-correcting codes. The procedure is shown explicitly for a code in which one qubit is mapped into five. The quantum networks obtained are fault tolerant, that is, they can function successfully even if errors occur during the error correction. Our construction is derived using a recently introduced group-theoretic framework for unifying all known quantum codes.
引用
收藏
页码:3260 / 3263
页数:4
相关论文
共 25 条
  • [1] ELEMENTARY GATES FOR QUANTUM COMPUTATION
    BARENCO, A
    BENNETT, CH
    CLEVE, R
    DIVINCENZO, DP
    MARGOLUS, N
    SHOR, P
    SLEATOR, T
    SMOLIN, JA
    WEINFURTER, H
    [J]. PHYSICAL REVIEW A, 1995, 52 (05): : 3457 - 3467
  • [2] Purification of noisy entanglement and faithful teleportation via noisy channels
    Bennett, CH
    Brassard, G
    Popescu, S
    Schumacher, B
    Smolin, JA
    Wootters, WK
    [J]. PHYSICAL REVIEW LETTERS, 1996, 76 (05) : 722 - 725
  • [3] BENNETT CH, QUANTPH9604024
  • [4] BRAUNSTEIN SL, QUANTPH9604036
  • [5] Good quantum error-correcting codes exist
    Calderbank, AR
    Shor, PW
    [J]. PHYSICAL REVIEW A, 1996, 54 (02): : 1098 - 1105
  • [6] CALDERBANK AR, IN PRESS P LONDON MA
  • [7] CALDERBANK AR, QUANTPH9608006
  • [8] CALDERBANK AR, QUANTPH9605005
  • [9] EKERT A, QUANTPH9602022
  • [10] Class of quantum error-correcting codes saturating the quantum Hamming hound
    Gottesman, D
    [J]. PHYSICAL REVIEW A, 1996, 54 (03): : 1862 - 1868