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Phys. Rev. A 71, 052316 (2005) [5 pages]

Vacuum-induced Stark shifts for quantum logic using a collective system in a high-quality dispersive cavity

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A. Gábris1,3 and G. S. Agarwal2,3
1Research Institute of Solid State Physics and Optics, Hungarian Academy of Sciences, H-1525 Budapest P.O. Box 49, Hungary
2Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078, USA
3Physical Research Laboratory, Navrangpura, Ahmedabad 380009, India

Received 17 November 2004; revised 24 February 2005; published 13 May 2005

A collective system of atoms in a high-quality cavity can be described by a nonlinear interaction which arises due to the Lamb shift of the energy levels due to the cavity vacuum [Agarwal et al., Phys. Rev. A 56, 2249 (1997)]. We show how this collective interaction can be used to perform quantum logic. In particular we produce schemes to realize controlled-not gates not only for two-qubit but also for three-qubit systems. We also discuss realizations of Toffoli gates. Our effective Hamiltonian is also realized in other systems such as trapped ions or magnetic molecules.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.71.052316
DOI: 10.1103/PhysRevA.71.052316
PACS: 03.67.Lx, 42.50.Pq, 32.80.Pj

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