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dc.contributor.authorSalomon, Julien
dc.contributor.authorBorzi, Alfio
dc.contributor.authorCiaramella, Gabriele
dc.date.accessioned2015-04-14T17:33:47Z
dc.date.available2015-04-14T17:33:47Z
dc.date.issued2015
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14940
dc.language.isoenen
dc.subjectquantum spin systemsen
dc.subjectLiouville–von Neumann master equationen
dc.subjectexact-controllability problemen
dc.subjectoptimal control theoryen
dc.subjectoptimality conditionsen
dc.subjectmodified Crank–Nicholson schemeen
dc.subjectKrylov–Newton schemeen
dc.subject.ddc519en
dc.titleA method for solving exact-controllability problems governed by closed quantum spin systemsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThe Liouville–von Neumann master equation models closed quantum spin systems that arise in nuclear magnetic resonance applications. In this paper, an efficient and robust computational framework to solve exact-controllability problems governed by the Liouville–von Neumann master equation is presented. The proposed control framework is based on a new optimisation formulation of exact-controllability quantum spin problems that allows the application of efficient computational techniques. This formulation results in an optimality system with four differential equations and an optimality condition. The differential equations are approximated with an appropriate modified Crank–Nicholson scheme and the resulting discretised optimality system is solved with a matrix-free Krylov–Newton scheme combined with a cascadic nonlinear conjugate gradient initialisation. Results of numerical experiments demonstrate the ability of the proposed framework to solve quantum spin exact-controllability control problems.en
dc.relation.isversionofjnlnameInternational Journal of Control
dc.relation.isversionofjnlvol88en
dc.relation.isversionofjnlissue4en
dc.relation.isversionofjnldate2015
dc.relation.isversionofjnlpages682-702en
dc.relation.isversionofdoihttp://dx.doi.org/10.1080/00207179.2014.971435en
dc.relation.isversionofjnlpublisherTaylor & Francisen
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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