Phys. Rev. A 71, 052316 (2005) [5 pages]Vacuum-induced Stark shifts for quantum logic using a collective system in a high-quality dispersive cavityReceived 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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