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29 March 2024
 
  » arxiv » quant-ph/0407014

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Cavity QED and Quantum Computation in the Weak Coupling Regime
Kazuyuki Fujii ; Kyoko Higashida ; Ryosuke Kato ; Yukako Wada ;
Date 2 Jul 2004
Subject Quantum Physics; Mathematical Physics; Other | quant-ph cond-mat.other math-ph math.MP
AbstractIn 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.
Source arXiv, quant-ph/0407014
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