Implementation of the quantum Fourier transform

被引:198
作者
Weinstein, YS
Pravia, MA
Fortunato, EM
Lloyd, S [1 ]
Cory, DG
机构
[1] MIT, Dept Mech Engn, Arbeloff Lab Informat Syst & Technol, Cambridge, MA 02139 USA
[2] MIT, Dept Nucl Engn, Cambridge, MA 02139 USA
关键词
D O I
10.1103/PhysRevLett.86.1889
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A quantum Fourier transform (QFT) has been implemented on a three qubit nuclear magnetic resonance (NMR) quantum computer to extract the periodicity of an input state. Implementation of a QFT provides a first step towards the realization of Shor's factoring and other quantum algorithms. The experimental implementation of the QFT on a periodic state is presented along with a quantitative measure of its efficiency measured through state tomography. Experimentally realizing the QFT is a clear demonstration of the ability of NMR to control quantum systems.
引用
收藏
页码:1889 / 1891
页数:3
相关论文
共 29 条
[11]   Quantum computation and Shor's factoring algorithm [J].
Ekert, A ;
Jozsa, R .
REVIEWS OF MODERN PHYSICS, 1996, 68 (03) :733-753
[12]   SIMULATING PHYSICS WITH COMPUTERS [J].
FEYNMAN, RP .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1982, 21 (6-7) :467-488
[13]   Bulk spin-resonance quantum computation [J].
Gershenfeld, NA ;
Chuang, IL .
SCIENCE, 1997, 275 (5298) :350-356
[14]  
Grover L. K., 1996, Proceedings of the Twenty-Eighth Annual ACM Symposium on Theory of Computing. STOC'96, P212, DOI [10.1145/237814.237866, DOI 10.1145/237814.237866]
[15]   Implementation of a quantum search algorithm on a quantum computer [J].
Jones, JA ;
Mosca, M ;
Hansen, RH .
NATURE, 1998, 393 (6683) :344-346
[16]   Quantum algorithms and the Fourier transform [J].
Jozsa, R .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1969) :323-337
[17]   FIDELITY FOR MIXED QUANTUM STATES [J].
JOZSA, R .
JOURNAL OF MODERN OPTICS, 1994, 41 (12) :2315-2323
[18]   Resilient quantum computation: error models and thresholds [J].
Knill, E ;
Laflamme, R ;
Zurek, WH .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1969) :365-384
[19]   Universal quantum simulators [J].
Lloyd, S .
SCIENCE, 1996, 273 (5278) :1073-1078
[20]   A POTENTIALLY REALIZABLE QUANTUM COMPUTER [J].
LLOYD, S .
SCIENCE, 1993, 261 (5128) :1569-1571