Efficient computations of encodings for quantum error correction

被引：56

作者：

Cleve, R ^{[1
]}

Gottesman, D ^{[1
]}

机构：

[1] CALTECH, PASADENA, CA 91125 USA

来源：

PHYSICAL REVIEW A | 1997年 / 56卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.56.76

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We show how, given any set of generators of the stabilizer of a quantum code, an efficient gate array that computes the code words can be explicitly constructed. For an n-qubit code whose stabilizer has d generators, the resulting gate array consists of O(nd) operations, and converts k-qubit data (where k = n-d) into n-qubit code words.

引用

页码：76 / 82

页数：7

共 50 条

[31] Decoherence and quantum error correction
Knight, PL
Plenio, MB
Vedral, V
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1997, 355 (1733): : 2381 - 2385
[32] Quantum memories and error correction
Wootton, James R.
[J]. JOURNAL OF MODERN OPTICS, 2012, 59 (20) : 1717 - 1738
[33] Entanglement and quantum error correction
Hiroshima, Tohya
Hayashi, Masahito
[J]. QUANTUM COMPUTATION AND INFORMATION: FROM THEORY TO EXPERIMENT, 2006, 102 : 111 - +
[34] Nonlinear quantum error correction
Reichert, Maximilian
Tessler, Louis W.
Bergmann, Marcel
van Loock, Peter
Byrnes, Tim
[J]. PHYSICAL REVIEW A, 2022, 105 (06)
[35] Quantum error correction for beginners
Devitt, Simon J.
Munro, William J.
Nemoto, Kae
[J]. REPORTS ON PROGRESS IN PHYSICS, 2013, 76 (07)
[36] Introduction to quantum error correction
Steane, AM
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 356 (1743): : 1739 - 1757
[37] Quantum Error Correction for Metrology
Kessler, E. M.
Lovchinsky, I.
Sushkov, A. O.
Lukin, M. D.
[J]. PHYSICAL REVIEW LETTERS, 2014, 112 (15)
[38] Experimental quantum error correction
Cory, DG
Price, MD
Maas, W
Knill, E
Laflamme, R
Zurek, WH
Havel, TF
Somaroo, SS
[J]. PHYSICAL REVIEW LETTERS, 1998, 81 (10) : 2152 - 2155
[39] Methods of quantum error correction
Grassl, M
[J]. ISCAS 2000: IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - PROCEEDINGS, VOL I: EMERGING TECHNOLOGIES FOR THE 21ST CENTURY, 2000, : 740 - 743
[40] Approximate Quantum Error Correction
Schumacher, Benjamin
Westmoreland, Michael D.
[J]. QUANTUM INFORMATION PROCESSING, 2002, 1 (1-2) : 5 - 12

← 1 2 3 4 5 →