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Approximate unconventional geometric phase gate by highly squeezed operators with a cavity QED system

Chang-Yong Chen1,2,3 and Ke-Lin Gao2,3

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We introduce the general definition of the unconventional geometric phase independent of the specific physical system and show how a highly squeezed operator can approximately induce the general unconventional geometric phase, which goes beyond the original unconventional one by displacement operators (Zhu and Wang 2003 Phys. Rev. Lett. 91 187902). By means of the squeezed operator concerning the cavity mode state along a closed path in the phase space, we discuss specifically how to implement approximately a two-qubit geometric phase gate in a cavity QED system with two-photon interaction between the atoms and the cavity mode, assisted by a classical field. Discussions regarding the implementation time of the gating, the possible decaying sources and the experimental feasibility are given in detail.


PACS

03.67.Lx Quantum computation architectures and implementations

02.30.Tb Operator theory

03.65.Vf Phases: geometric; dynamic or topological

42.50.Pq Cavity quantum electrodynamics; micromasers

MSC

81S30 Phase space methods including Wigner distributions, etc.

81V80 Quantum optics

81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)

81V10 Electromagnetic interaction; quantum electrodynamics

Subjects

Mathematical physics

Computational physics

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 10 (10 March 2006)

Received 28 November 2005, in final form 27 January 2006

Published 22 February 2006



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