Implementation of Universal Quantum Gates Based on Nonadiabatic Geometric Phases

Shi-Liang Zhu and Z. D. Wang

Phys. Rev. Lett. 89, 097902 – Published 7 August 2002; Erratum Phys. Rev. Lett. 89, 289901 (2002)

Abstract

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.

Received 4 March 2002

DOI:https://doi.org/10.1103/PhysRevLett.89.097902

Erratum

Erratum: Implementation of Universal Quantum Gates Based on Nonadiabatic Geometric Phases [Phys. Rev. Lett.PRLTAO0031-9007 89, 097902 (2002)]

Shi-Liang Zhu and Z. D. Wang

Phys. Rev. Lett. 89, 289901 (2002)

Authors & Affiliations

Shi-Liang Zhu^1,3 and Z. D. Wang^1,2,4,*

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

^*To whom correspondence should be addressed. Email address: zwang@hkucc.hku.hk

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Issue

Vol. 89, Iss. 9 — 26 August 2002

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