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

A. Gabris·G. S. Agarwal
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Abstract

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 CNOT 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.

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A. Gabris, G. S. Agarwal. 2004-11-17. Vacuum induced Stark shifts for quantum logic using a collective system in a high quality dispersive cavity. https://doi.org/10.1103/physreva.71.052316

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