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Parallel in time algorithms for quantum control: the parareal time discretization scheme

hal.structure.identifierLaboratoire Jacques-Louis Lions [LJLL]
hal.structure.identifierDivision of Applied Mathematics [DAM]
dc.contributor.authorMaday, Yvon
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorTurinici, Gabriel
HAL ID: 16
ORCID: 0000-0003-2713-006X
dc.date.accessioned2018-03-01T11:55:44Z
dc.date.available2018-03-01T11:55:44Z
dc.date.issued2003
dc.identifier.issn0020-7608
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17495
dc.language.isoenen
dc.subjectquantum controlen
dc.subject.ddc515en
dc.titleParallel in time algorithms for quantum control: the parareal time discretization schemeen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThe numerical study of control problems in quantum chemistry requires many computer simulations of the dynamic phenomena involved. These simulations are, in many cases, too expensive to be carried out for complex systems, thus precluding the treatment of interesting practical situations. In a context of fast increasing in both the CPU power available on typical workstations and the number of computers that can be connected through high-speed networks, the difficulty lies rather in how to obtain real-time solutions" than in the amount of CPU power available (which begins to exceed the needs). In this context, the "parareal" time algorithm that parallelizes in the time direction the work required to solve the evolution equations has been introduced in previous works (Lions, J.-L.; Maday, Y.; Turinici, G. CR Acad Sci Paris I Math 2001, 332(7), 661-668; Bal, G.; Maday, Y. In: Proceedings of the Workshop on Domain Decomposition, LNCSE Series; Springer-Verlag: Berlin, 2001, 189-202). The theoretical modifications required to apply this algorithm to control problems and more specifically to the problems of quantum control are the main topic of this article. The preliminary results that are presented at the end of the article illustrate the feasibility of the approach and the potential for large time savings."en
dc.relation.isversionofjnlnameInternational Journal of Quantum Chemistry
dc.relation.isversionofjnlvol93en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate2003-03
dc.relation.isversionofjnlpages223--228en
dc.relation.isversionofdoi10.1002/qua.10554en
dc.relation.isversionofjnlpublisherWileyen
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2018-03-01T11:52:24Z
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