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Hamiltonian identification in presence of large control field perturbations

dc.contributor.authorFu, Ying
dc.contributor.authorRabitz, Herschel
dc.contributor.authorTurinici, Gabriel
HAL ID: 16
ORCID: 0000-0003-2713-006X
dc.date.accessioned2014-10-02T09:40:38Z
dc.date.available2014-10-02T09:40:38Z
dc.date.issued2016
dc.identifier.issn1751-8113
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13980
dc.language.isoenen
dc.subjectquantum control
dc.subjectquantum inversion
dc.subjectquantum controllability
dc.subject.ddc520en
dc.titleHamiltonian identification in presence of large control field perturbations
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenQuantum system inversion concerns learning the characteristics of the underlying Hamiltonian by measuring suitable observables from the responses of the system's interaction with members of a set of applied fields. Various aspects of inversion have been confirmed in theoretical, numerical and experimental works. Nevertheless, the presence of noise arising from the applied fields may contaminate the quality of the results. In this circumstance, the observables satisfy probability distributions, but often the noise statistics are unknown. Based on a proposed theoretical framework, we present a procedure to recover both the unknown parts of the Hamiltonian and the unknown noise distribution. The procedure is implemented numerically and seen to perform well for illustrative Gaussian, exponential and bi-modal noise distributions.
dc.publisher.cityParisen
dc.relation.isversionofjnlnameJournal of Physics. A, Mathematical and Theoretical
dc.relation.isversionofjnlvol49
dc.relation.isversionofjnlissue49
dc.relation.isversionofjnldate2016
dc.relation.isversionofjnlpagesn°495301
dc.relation.isversionofdoi10.1088/1751-8113/49/49/495301
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01326060
dc.relation.isversionofjnlpublisherIOP Publishing
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.description.submittednonen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2017-03-08T15:49:49Z


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