Approximate quantum error correction can lead to better codes

被引:142
作者
Leung, DW
Nielsen, MA
Chuang, IL
Yamamoto, Y
机构
[1] UNIV CALIF SANTA BARBARA, INST THEORET PHYS, SANTA BARBARA, CA 93106 USA
[2] UNIV NEW MEXICO, CTR ADV STUDIES, DEPT PHYS & ASTRON, ALBUQUERQUE, NM 87131 USA
[3] LOS ALAMOS NATL LAB, LOS ALAMOS, NM 87545 USA
来源
PHYSICAL REVIEW A | 1997年 / 56卷 / 04期
关键词
D O I
10.1103/PhysRevA.56.2567
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We present relaxed criteria for quantum error correction that are useful when the specific dominant quantum noise process is known. As an example, we provide a four-bit code that corrects for a single amplitude damping error. This code violates the usual Hamming bound calculated for a Pauli description of the error process and has no simple explanation in terms of the usual Pauli basis GF(4) codes.
引用
收藏
页码:2567 / 2573
页数:7
相关论文
共 16 条
[1]   ELEMENTARY GATES FOR QUANTUM COMPUTATION [J].
BARENCO, A ;
BENNETT, CH ;
CLEVE, R ;
DIVINCENZO, DP ;
MARGOLUS, N ;
SHOR, P ;
SLEATOR, T ;
SMOLIN, JA ;
WEINFURTER, H .
PHYSICAL REVIEW A, 1995, 52 (05) :3457-3467
[2]  
BENNETT CH, QUANTPH9604024
[3]  
BRAUNSTEIN SL, QUANTPH9603024
[4]  
CALDERBANK AR, QUANTPH9608006
[5]   Quantum bit regeneration [J].
Chuang, IL ;
Yamamoto, Y .
PHYSICAL REVIEW LETTERS, 1996, 76 (22) :4281-4284
[6]   Creation of a persistent quantum bit using error correction [J].
Chuang, IL ;
Yamamoto, Y .
PHYSICAL REVIEW A, 1997, 55 (01) :114-127
[7]  
CHUANG IL, QUANTPH9610001
[8]  
CHUANG IL, QUANTPH9610043
[9]   Enforcing coherent evolution in dissipative quantum dynamics [J].
Cirac, JI ;
Pellizzari, T ;
Zoller, P .
SCIENCE, 1996, 273 (5279) :1207-1210
[10]   Quantum error correction for communication [J].
Ekert, A ;
Macchiavello, C .
PHYSICAL REVIEW LETTERS, 1996, 77 (12) :2585-2588