| Original Articles |
|
|
|
|
Experimental Realization of Arbitrary Accuracy Iterative Phase Estimation Algorithms on Ensemble Quantum Computers |
| LIU Xiu-Mei1,2,3;LUO Jun1,2,3;SUN Xian-Ping1,2 |
| 1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 4300712Center for Cold Atom Physics, Chinese Academy of Sciences, Wuhan 4300713Graduate School of the Chinese Academy of Sciences, Beijing 100049 |
|
| Cite this article: |
|
LIU Xiu-Mei, LUO Jun, SUN Xian-Ping 2007 Chin. Phys. Lett. 24 3316-3319 |
|
|
|
|
Abstract We report the first experimental demonstration of a nuclear magnetic resonance (NMR) realization of iterative phase estimation algorithms. Using feedback and iterations, we experimentally obtain the phase with 6 bits of precision on a two-qubit NMR quantum computer. Furthermore, we experimentally demonstrate the effect of gate noise on the iterative phase estimation algorithm. Our experimental results show that errors of measurements of the phase depend strongly on the precision of coupling gates. This experiment can be used as a benchmark for multi-qubit realizations of quantum information processing and precision measurements.
|
| Keywords:
03.67.Lx
82.56.Dj
|
|
|
Received: 22 June 2007
Published: 03 December 2007
|
|
| PACS: |
03.67.Lx
|
(Quantum computation architectures and implementations)
|
| |
82.56.Dj
|
(High resolution NMR)
|
|
|
|
|
|
[1]Nielsen M A and Chuang I L 2001 Quantum Computation andQuantum Information (Cambridge: Cambridge University Press) pp1--224
[2]Cleve R, Ekert A, Macchiavello C and Mosca M 1998 Proc. R. Soc.London A 454 339
[3]Shor P W 1997 SIAM J. Comput. 26 1484
[4]Dob\v{si\v{cek M, Johansson G, Shumeiko V and Wendin G 2006arXiv: quant-ph/0610214
[5]Abrams D S and Lloyd S 1999 Phys. Rev. Lett. 83 5162
[6]Aspuru-Guzik A, Dutoi A D, Love P J and Head-Gordon M 2005 Science 309 1704
[7]Dam W V, D'Ariano G M, Ekert A, Macchiavello C and Mosca M 2007 Phys. Rev. Lett. 98 090501
[8]Yao X W, Xue F, Pang W M, Du J F, Zhou X Y and Han R D 2006 Chin. Phys. Lett. 23 1996
[9]Du J F, Wu J H, Shi M J, Han A L, Zhou X Y, Ye B J, Weng H M andHan R D 2000 Chin. Phys. Lett. 17 64
[10]Lee J S, Kim J, Cheong Y and Lee S 2002 Phys. Rev. A 66 042316
[11]Cory D G, Fahmy A F and Havel T F 1997 Proc. Natl. Acad.Sci. USA. 94 1634 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
