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On the tomographic picture of quantum mechanics

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Matemática Aplicada a Control, Sistemas y Señaleses
dc.contributor.authorIbort Latre, Luis Alberto
dc.contributor.authorMan'ko, V. I.
dc.contributor.authorMarmo, G.
dc.contributor.authorSimoni, A.
dc.contributor.authorVentriglia, F.
dc.date.accessioned2010-06-07T13:08:29Z
dc.date.available2010-06-07T13:08:29Z
dc.date.issued2010-06-07
dc.description4 pages, no figures.-- PACS codes: 03.65 Sq; 03.65.Wj.-- ArXiv pre-print available at: http://arxiv.org/abs/1004.0102
dc.description.abstractWe formulate necessary and sufficient conditions for a symplectic tomogram of a quantum state to determine the density state. We establish a connection between the (re)construction by means of symplectic tomograms with the construction by means of Naimark positive definite functions on the Weyl-Heisenberg group. This connection is used to formulate properties which guarantee that tomographic probabilities describe quantum states in the probability representation of quantum mechanics.
dc.description.sponsorshipThis work was partially supported by MTM2007-62478 Research project, Ministry of Science, Spain.
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysics Letters A, 2010, vol. 374, n. 26, p. 2614-2617
dc.identifier.doi10.1016/j.physleta.2010.04.056
dc.identifier.issn0375-9601
dc.identifier.urihttp://hdl.handle.net/10016/8691
dc.language.isoeng
dc.publisherElsevier
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.physleta.2010.04.056
dc.rights© Elsevier
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherQuantum tomograms
dc.subject.otherSymplectic tomograms
dc.subject.otherProbability measures
dc.subject.otherWeyl-Heisenberg group
dc.titleOn the tomographic picture of quantum mechanics
dc.typeresearch article*
dspace.entity.typePublication
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