Discretely monotonically convergent algorithms in quantum control
Turinici, Gabriel; Salomon, Julien; Maday, Yvon (2003), Discretely monotonically convergent algorithms in quantum control, in Schaft, A. J. van der; Gordillo, Francisco; Astolfi, Alessandro, Lagrangian and Hamiltonian methods for nonlinear control 2003 : a proceedings volume from the 2nd IFAC Workshop, Elsevier, p. 291-294
Type
Communication / ConférenceExternal document link
http://www.ceremade.dauphine.fr/~salomon/ar/index.htmlDate
2003Conference title
2nd IFAC WorkshopConference date
2003-04Conference city
SévilleConference country
EspagneBook title
Lagrangian and Hamiltonian methods for nonlinear control 2003 : a proceedings volume from the 2nd IFAC WorkshopBook author
Schaft, A. J. van der; Gordillo, Francisco; Astolfi, AlessandroPublisher
Elsevier
ISBN
978-0-08-044278-5
Number of pages
305Pages
291-294
Metadata
Show full item recordAbstract (EN)
The numerical simulation of laser control of molecular systems has made an important step forward by the introduction of algorithms that are guaranteed to improve at each step the cost functional that describes the required control objectives. Nevertheless, after discretization in time, the users may have to deal with instabilities that lead them to stop the simulation indeed with an improved cost functional but before convergence may be reached. In this paper we explain the reasons for such instabilities and propose discrete algorithms that avoid this problem.Subjects / Keywords
numerical discretization; monotonically convergent algorithms; quantum controlRelated items
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Maday, Yvon; Turinici, Gabriel (2003) Article accepté pour publication ou publié
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