Codes for the quantum erasure channel

被引：240

作者：

Grassl, M ^{[1
]}

Beth, T ^{[1
]}

Pellizzari, T ^{[1
]}

机构：

[1] UNIV INNSBRUCK, INST THEORET PHYS, A-6020 INNSBRUCK, AUSTRIA

来源：

PHYSICAL REVIEW A | 1997年 / 56卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.56.33

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The quantum erasure channel (QEC) is considered. Codes for the QEC have to correct for erasures, i.e., arbitrary errors at known positions. We show that four quantum bits are necessary and sufficient to encode one quantum bit and correct one erasure, in contrast to five quantum bits for unknown positions. Moreover, a family of quantum codes for the QEC, the quantum Bose-Chaudhuri-Hocquenghem codes, that can be efficiently decoded is introduced.

引用

页码：33 / 38

页数：6

共 31 条

[1] OBSERVATION OF QUANTUM JUMPS IN A SINGLE ATOM
BERGQUIST, JC
HULET, RG
ITANO, WM
WINELAND, DJ
[J]. PHYSICAL REVIEW LETTERS, 1986, 57 (14) : 1699 - 1702
[2] INHERENT INTRACTABILITY OF CERTAIN CODING PROBLEMS
BERLEKAMP, ER
MCELIECE, RJ
VANTILBORG, HCA
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1978, 24 (03) : 384 - 386
[3] BLATT R, COMMUNICATION
[4] BRAUNSTEIN S, UNPUB, P43527
[5] CALDERBANK AR, UNPUB
[6] QUANTUM COMPUTATIONS WITH COLD TRAPPED IONS
CIRAC, JI
ZOLLER, P
[J]. PHYSICAL REVIEW LETTERS, 1995, 74 (20) : 4091 - 4094
[7] Enforcing coherent evolution in dissipative quantum dynamics
Cirac, JI
Pellizzari, T
Zoller, P
[J]. SCIENCE, 1996, 273 (5279) : 1207 - 1210
[8] QUANTUM COMPUTATION
DIVINCENZO, DP
[J]. SCIENCE, 1995, 270 (5234) : 255 - 261
[9] EKERT A, 1955, AIP C P, V323, P450
[10] Grover L K., 1996, Proceedings of the Twenty-Eighth Annual ACM Symposium on Theory of Computing. STOC'96, P212, DOI [DOI 10.1145/237814.237866, 10.1145/237814.237866]

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