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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 / Conférence
External document link
http://www.ceremade.dauphine.fr/~salomon/ar/index.html
Date
2003
Conference title
2nd IFAC Workshop
Conference date
2003-04
Conference city
Séville
Conference country
Espagne
Book title
Lagrangian and Hamiltonian methods for nonlinear control 2003 : a proceedings volume from the 2nd IFAC Workshop
Book author
Schaft‎, A. J. van der; Gordillo‎, Francisco; Astolfi‎, Alessandro
Publisher
Elsevier
ISBN
978-0-08-044278-5
Number of pages
305
Pages
291-294
Metadata
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Author(s)
Turinici, Gabriel cc
Salomon, Julien
Maday, Yvon
Abstract (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 control