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Projector Space Optimization in Quantum Control

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Date
2009
Dewey
Probabilités et mathématiques appliquées
Sujet
numerical resolution
Journal issue
ESAIM. Proceedings
Volume
27
Publication date
2009
Article pages
171-179
Publisher
EDP sciences
DOI
http://dx.doi.org/10.1051/proc/2009026
URI
https://basepub.dauphine.fr/handle/123456789/3099
Collections
  • CEREMADE : Publications
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Author
Grigoriu, Andreea
Turinici, Gabriel
Type
Article accepté pour publication ou publié
Abstract (EN)
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.

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