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Beyond bilinear controllability : applications to quantum control

Turinici, Gabriel (2007), Beyond bilinear controllability : applications to quantum control, Control of coupled partial differential equations, Birkhauser : Berlin, p. 293-309

Type
Communication / Conférence
External document link
http://hal.archives-ouvertes.fr/hal-00311267/en/
Date
2007
Conference title
Optimal Control of Coupled Systems of PDE
Conference date
2005-04
Conference city
Oberwolfach
Conference country
Allemagne
Book title
Control of coupled partial differential equations
Publisher
Birkhauser
Published in
Berlin
ISBN
978-3-7643-7720-5
Number of pages
293-309
Pages
293-309
Metadata
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Author(s)
Turinici, Gabriel cc
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.
Subjects / Keywords
Numerical analysis; Quantum physics