Title :
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
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;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6315502
