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Your search keyword '"Caponigro, Marco"' showing total 10 results
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10 results on '"Caponigro, Marco"'

8. Implementation of logical gates on infinite dimensional quantum oscillators.

Author

Boussaid, Nabile, Caponigro, Marco, and Chambrion, Thomas

Abstract

In this paper we study the error in the approximate simultaneous controllability of the bilinear Schro¨dinger 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. [ABSTRACT FROM PUBLISHER]

Published
2012
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9. Periodic control laws for bilinear quantum systems with discrete spectrum.

Author

Boussaid, Nabile, Caponigro, Marco, and Chambrion, Thomas

Abstract

We provide bounds on the error between dynamics of an infinite dimensional bilinear Schro¨dinger equation and of its finite dimensional Galerkin approximations. Standard averaging methods are used on the finite dimensional approximations to obtain constructive controllability results. As an illustration, the methods are applied on a model of a 2D rotating molecule. [ABSTRACT FROM PUBLISHER]

Published
2012
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10. Weakly Coupled Systems in Quantum Control.

Author

Boussaid, Nabile, Caponigro, Marco, and Chambrion, Thomas

Subjects
*COUPLED mode theory (Wave-motion), *QUANTUM theory, *SCHRODINGER equation, *APPROXIMATION theory, *GALERKIN methods, *DISCRETE systems
Abstract

Weakly coupled systems are a class of infinite dimensional conservative bilinear control systems with discrete spectrum. An important feature of these systems is that they can be precisely approached by finite dimensional Galerkin approximations. This property is of particular interest for the approximation of quantum system dynamics and the control of the bilinear Schrödinger equation. The present study provides rigorous definitions and analysis of the dynamics of weakly coupled systems and gives sufficient conditions for an infinite dimensional quantum control system to be weakly coupled. As an illustration we provide examples chosen among common physical systems. [ABSTRACT FROM AUTHOR]

Published
2013
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