Implementation of logical gates on infinite dimensional quantum oscillators

Author

Boussaid, Nabile ; Caponigro, Marco ; Chambrion, Thomas

Author_Institution

Lab. de Math., Univ. de Franche-Comte, Besançon, France

fYear

2012

fDate

27-29 June 2012

Firstpage

5825

Lastpage

5830

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.

Keywords

Galerkin method; Schrodinger equation; approximation theory; bilinear systems; controllability; discrete systems; multidimensional systems; oscillators; quantum gates; tracking; approximate simultaneous controllability; bilinear Schrodinger equation; finite dimensional Galerkin approximations; general bilinear quantum systems; infinite dimensional quantum oscillators; infinite potential well; logical gates; perturbed quantum harmonic oscillator; tracking algorithm; weakly-coupled systems; Approximation methods; Controllability; Harmonic analysis; Logic gates; Moment methods; Numerical simulation; Oscillators;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2012

Conference_Location

Montreal, QC

ISSN

0743-1619

Print_ISBN

978-1-4577-1095-7

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2012.6315502

Filename

6315502