Theory of fault-tolerant quantum computation

被引：570

作者：

Gottesman, D ^{[1
]}

机构：

[1] CALTECH, Pasadena, CA 91125 USA

[2] Los Alamos Natl Lab, Los Alamos, NM 87545 USA

来源：

PHYSICAL REVIEW A | 1998年 / 57卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.57.127

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In order to use quantum error-correcting codes to improve the performance of a quantum computer, it is necessary to be able to perform operations fault-tolerantly on encoded states. I present a theory of fault-tolerant operations on stabilizer codes based on symmetries of the code stabilizer. This allows a straightforward determination of which operations can be performed fault-tolerantly on a given code. I demonstrate that fault-tolerant universal computation is possible for any stabilizer code. I discuss a number of examples in more detail, including the five-quantum-bit code. [S1050-2947(98)06501-9].

引用

页码：127 / 137

页数：11

共 19 条

[11]

Knill E., quant-ph/9608049

[12]

Knill E., QUANTPH9608012

[13]

KNILL E, QUANTPH9610011

[14] Perfect quantum error correcting code [J].

Laflamme, R ;

Miquel, C ;

Paz, JP ;

Zurek, WH .

PHYSICAL REVIEW LETTERS, 1996, 77 (01) :198-201

[15] SCHEME FOR REDUCING DECOHERENCE IN QUANTUM COMPUTER MEMORY [J].

SHOR, PW .

PHYSICAL REVIEW A, 1995, 52 (04) :R2493-R2496

[16] Fault-tolerant quantum computation [J].

Shor, PW .

37TH ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE, PROCEEDINGS, 1996, :56-65

[17] Multiple-particle interference and quantum error correction [J].

Steane, A .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1996, 452 (1954) :2551-2577

[18] Simple quantum error-correcting codes [J].

Steane, AM .

PHYSICAL REVIEW A, 1996, 54 (06) :4741-4751

[19] Error prevention scheme with four particles [J].

Vaidman, L ;

Goldenberg, L ;

Wiesner, S .

PHYSICAL REVIEW A, 1996, 54 (03) :R1745-R1748

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