Class of quantum error-correcting codes saturating the quantum Hamming hound

被引:890
作者
Gottesman, D
机构
[1] California Institute of Technology, Pasadena, CA
来源
PHYSICAL REVIEW A | 1996年 / 54卷 / 03期
关键词
D O I
10.1103/PhysRevA.54.1862
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
I develop methods for analyzing quantum error-correcting codes, and use these methods to construct an infinite class of codes saturating the quantum Hamming bound. These codes encode k=n-j-2 quantum bits (qubits) in n=2(j) qubits and correct t=1 error.
引用
收藏
页码:1862 / 1868
页数:7
相关论文
共 12 条
[1]  
Bennett C., UNPUB
[2]   Purification of noisy entanglement and faithful teleportation via noisy channels [J].
Bennett, CH ;
Brassard, G ;
Popescu, S ;
Schumacher, B ;
Smolin, JA ;
Wootters, WK .
PHYSICAL REVIEW LETTERS, 1996, 76 (05) :722-725
[3]   Good quantum error-correcting codes exist [J].
Calderbank, AR ;
Shor, PW .
PHYSICAL REVIEW A, 1996, 54 (02) :1098-1105
[4]  
CALDERBANK AR, UNPUB
[5]  
Ekert A. K., UNPUB
[6]  
KNILL E, UNPUB
[7]  
LAFLAMME R, UNPUB
[8]  
LLOYD S, UNPUB
[9]  
SHOR P, UNPUB
[10]   SCHEME FOR REDUCING DECOHERENCE IN QUANTUM COMPUTER MEMORY [J].
SHOR, PW .
PHYSICAL REVIEW A, 1995, 52 (04) :R2493-R2496