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Parareal in time control for quantum systems

Salomon, Julien; Maday, Yvon; Turinici, Gabriel (2007), Parareal in time control for quantum systems, SIAM Journal on Numerical Analysis, 45, 6, p. 2468-2482. http://dx.doi.org/10.1137/050647086

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Type
Article accepté pour publication ou publié
Date
2007
Nom de la revue
SIAM Journal on Numerical Analysis
Volume
45
Numéro
6
Pages
2468-2482
Identifiant publication
Métadonnées
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Auteur(s)
Salomon, Julien
Maday, Yvon
Turinici, Gabriel cc
Résumé (EN)
Following encouraging experimental results in quantum control, numerical simulations have known significant improvements through the introduction of efficient optimization algorithms. Yet, the computational cost still prevents using these procedures for high-dimensional systems often present in quantum chemistry. Using parareal framework, we present here a time parallelization of these schemes which allows us to reduce significantly their computational cost while still finding convenient controls.
Mots-clés
quantum control; monotonic schemes; optimal control; parareal scheme; time parallelization