Implementation of logical gates on infinite dimensional quantum oscillators

2011/10/30 by Nabile Boussaid, Boussaid, Nabile, Marco Caponigro +3
Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #math.OC

paper · pdf · doi:10.48550/arxiv.1110.6634

6 pages, soumis à ACC 2012

arxiv created 2011/10/30 · arxiv updated 2011/11/01

Abstract

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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