Geodesic
Projector Space Optimization in Quantum Control
Andreea Grigoriu1 ; Gabriel Turinici1
1 CEREMADE Université Paris Dauphine,Place du Marechal De Lattre De Tassigny, 75016 Paris, France,
ESAIM. Proceedings, Tome 27 (2009), pp. 171-179.

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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.
DOI : 10.1051/proc/2009026

Andreea Grigoriu 1 ; Gabriel Turinici 1

1 CEREMADE Université Paris Dauphine,Place du Marechal De Lattre De Tassigny, 75016 Paris, France, 
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Andreea Grigoriu; Gabriel Turinici. Projector Space Optimization in Quantum Control. ESAIM. Proceedings, Tome 27 (2009), pp. 171-179. doi : 10.1051/proc/2009026. http://geodesic.mathdoc.fr/articles/10.1051/proc/2009026/

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