Implementation of logical gates on infinite dimensional quantum oscillators
Optimization and Control
2011-11-01 v1
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.
Cite
@article{arxiv.1110.6634,
title = {Implementation of logical gates on infinite dimensional quantum oscillators},
author = {Nabile Boussaid and Marco Caponigro and Thomas Chambrion},
journal= {arXiv preprint arXiv:1110.6634},
year = {2011}
}
Comments
6 pages, soumis \`a ACC 2012