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Beyond bilinear controllability : applications to quantum control

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Date
2007
Notes
Serie: Internat. Ser. Numer. Math. Volume : 155
Link to item file
http://hal.archives-ouvertes.fr/hal-00311267/en/
Dewey
Probabilités et mathématiques appliquées
Sujet
Numerical analysis; Quantum physics
Conference name
Optimal Control of Coupled Systems of PDE
Conference date
04-2005
Conference city
Oberwolfach
Conference country
Allemagne
Book title
Control of coupled partial differential equations
Publisher
Birkhauser
Publisher city
Berlin
Year
2007
Pages number
293-309
ISBN
978-3-7643-7720-5
URI
https://basepub.dauphine.fr/handle/123456789/490
Collections
  • CEREMADE : Publications
Metadata
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Author
Turinici, Gabriel
Type
Communication / Conférence
Item number of pages
293-309
Abstract (EN)
Quantum control is traditionally expressed through bilinear models and their associated Lie algebra controllability criteria. But, the first order approximation are not always sufficient and higher order developpements are used in recent works. Motivated by these applications, we give in this paper a criterion that applies to situations where the evolution operator is expressed as sum of possibly non-linear real functionals of the control that multiplies some time independent (coupling) operators.

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