Benchmarking quantum computers: The five-qubit error correcting code

被引:164
作者
Knill, E [1 ]
Laflamme, R [1 ]
Martinez, R [1 ]
Negrevergne, C [1 ]
机构
[1] Los Alamos Natl Lab, Los Alamos, NM 87545 USA
关键词
D O I
10.1103/PhysRevLett.86.5811
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The smallest quantum code that can correct all one-qubit errors is based on five qubits. We experimentally implemented the encoding, decoding, and error-correction quantum networks using nuclear magnetic resonance on a five spin subsystem of labeled crotonic acid. The ability to correct each error was verified by tomography of the process. The use of error correction for benchmarking quantum networks is discussed, and we infer that the fidelity achieved in our experiment is sufficient for preserving entanglement.
引用
收藏
页码:5811 / 5814
页数:4
相关论文
共 18 条
[1]  
Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824
[2]   Quantum-error correction and orthogonal geometry [J].
Calderbank, AR ;
Rains, EM ;
Shor, PW ;
Sloane, NJA .
PHYSICAL REVIEW LETTERS, 1997, 78 (03) :405-408
[3]   Experimental realization of a quantum algorithm [J].
Chuang, IL ;
Vandersypen, LMK ;
Zhou, XL ;
Leung, DW ;
Lloyd, S .
NATURE, 1998, 393 (6681) :143-146
[4]   Experimental implementation of fast quantum searching [J].
Chuang, IL ;
Gershenfeld, N ;
Kubinec, M .
PHYSICAL REVIEW LETTERS, 1998, 80 (15) :3408-3411
[5]   Experimental quantum error correction [J].
Cory, DG ;
Price, MD ;
Maas, W ;
Knill, E ;
Laflamme, R ;
Zurek, WH ;
Havel, TF ;
Somaroo, SS .
PHYSICAL REVIEW LETTERS, 1998, 81 (10) :2152-2155
[6]   Ensemble quantum computing by NMR spectroscopy [J].
Cory, DG ;
Fahmy, AF ;
Havel, TF .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1997, 94 (05) :1634-1639
[7]   Bulk spin-resonance quantum computation [J].
Gershenfeld, NA ;
Chuang, IL .
SCIENCE, 1997, 275 (5298) :350-356
[8]   Class of quantum error-correcting codes saturating the quantum Hamming hound [J].
Gottesman, D .
PHYSICAL REVIEW A, 1996, 54 (03) :1862-1868
[9]   Implementation of a quantum search algorithm on a quantum computer [J].
Jones, JA ;
Mosca, M ;
Hansen, RH .
NATURE, 1998, 393 (6683) :344-346
[10]   An algorithmic benchmark for quantum information processing [J].
Knill, E ;
Laflamme, R ;
Martinez, R ;
Tseng, CH .
NATURE, 2000, 404 (6776) :368-370