Cavity QED and Quantum Computation in the Weak Coupling Regime

Details Cavity QED and Quantum Computation in the Weak Coupling Regime Cavity QED and Quantum Computation in the Weak Coupling Regime

2004-07-02

arxiv.org/abs/quant-ph/0407014v2

J. Opt. B: Quantum Semiclass. Opt. 6(2004) 502-509

Physics

Quantum Physics

Latex file, 22 pages, revised version. To appear in Journal of Optics B : Quantum and Semiclassical Optics

Scientific paper

10.1088/1464-4266/6/12/004

In this paper we consider a model of quantum computation based on n atoms of laser-cooled and trapped linearly in a cavity and realize it as the n atoms Tavis-Cummings Hamiltonian interacting with n external (laser) fields. We solve the Schr{\" o}dinger equation of the model in the case of n=2 and construct the controlled NOT gate by making use of a resonance condition and rotating wave approximation associated to it. Our method is not heuristic but completely mathematical, and the significant feature is a consistent use of Rabi oscillations. We also present an idea of the construction of three controlled NOT gates in the case of n=3 which gives the controlled-controlled NOT gate.

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