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Phys. Rev. Lett. 89, 097902 (2002) [4 pages]

Implementation of Universal Quantum Gates Based on Nonadiabatic Geometric Phases

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Shi-Liang Zhu1,3 and Z. D. Wang1,2,4,*
1Department of Physics, University of Hong Kong, Pokfulam Road, Hong Kong, China
2Department of Material Science and Engineering, University of Science and Technology of China, Hefei, China
3Department of Physics, South China Normal University, Guangzhou, China
4Texas Center for Superconductivity, University of Houston, Houston, Texas 77204

See Also: Erratum

Received 4 March 2002; published 7 August 2002

We propose an experimentally feasible scheme to achieve quantum computation based on nonadiabatic geometric phase shifts, in which a cyclic geometric phase is used to realize a set of universal quantum gates. Physical implementation of this set of gates is designed for Josephson junctions and for NMR systems. Interestingly, we find that the nonadiabatic phase shift may be independent of the operation time under appropriate controllable conditions. A remarkable feature of the present nonadiabatic geometric gates is that there is no intrinsic limitation on the operation time.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.097902
DOI:
10.1103/PhysRevLett.89.097902
PACS:
03.67.Lx, 03.65.Vf, 85.25.Cp

*To whom correspondence should be addressed.

Email address: zwang@hkucc.hku.hk

See Also

Erratum: Shi-Liang Zhu and Z. D. Wang, Erratum: Implementation of Universal Quantum Gates Based on Nonadiabatic Geometric Phases [Phys. Rev. Lett. 89, 097902 (2002)], Phys. Rev. Lett. 89, 289901 (2002).

 
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