Implementation of logical gates on infinite dimensional quantum oscillators

Details Implementation of logical gates on infinite dimensional quantum oscillators Implementation of logical gates on infinite dimensional quantum oscillators

2011-10-30

arxiv.org/abs/1110.6634v1

Mathematics

Optimization and Control

6 pages, soumis \`a ACC 2012

Scientific paper

In this paper we study the error in the approximate simultaneous controllability of the bilinear Schrodinger equation. We provide estimates based on a tracking algorithm for general bilinear quantum systems and on the study of the finite dimensional Galerkin approximations for a particular class of quantum systems, weakly-coupled systems. We then present two physical examples: the perturbed quantum harmonic oscillator and the infinite potential well.

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