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Issue ESAIM: PROC
Volume 27, 2009
CANUM 2008
Page(s) 171 - 179
DOI 10.1051/proc/2009026
Published online 25 June 2009

ESAIM: Proc., 2009, Vol. 27, pp. 171-179
DOI: 10.1051/proc/2009026

Projector Space Optimization in Quantum Control

Andreea Grigoriu1 and Gabriel Turinici2

1  CEREMADE Université Paris Dauphine,Place du Marechal De Lattre De Tassigny, 75016 Paris, France,
2  CEREMADE Université Paris Dauphine,Place du Marechal De Lattre De Tassigny, 75016 Paris, France,

grigoriu@ceremade.dauphine.fr
gabriel.turinici@dauphine.fr

Published online: 25 June 2009

Abstract
We investigate in this work the numerical resolution of a quantum control problem; the specificity of the approach is that, instead of searching directly for the optimal laser intensity that drives the system toward its target, we consider here as main variable the evolution semigroup i.e. the set of propagators indexed with time. The precise form of the generator of the semigroup (e.g. dipolar) is then enforced as a constraint. We present both an algorithm and associated numerical results.



© EDP Sciences, ESAIM 2009


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