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

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

2004-11-17

arxiv.org/abs/quant-ph/0411126v1

Phys. Rev. A 71, 052316 (2005)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.71.052316

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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