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Nonclassicality tests by classical bounds on the statistics of multiple outcomes

dc.contributor.authorLuis Aina, Alfredo
dc.date.accessioned2023-06-20T03:53:52Z
dc.date.available2023-06-20T03:53:52Z
dc.date.issued2010-08-18
dc.description©2010 The American Physical Society. A. L. acknowledges Prof. Ph. Refregier and Dr. A. Rivas for their enlightening discussions. This work has been supported by Project No. FIS2008-01267 of the Spanish Direccion General de Investigacion del Ministerio de Ciencia e Innovacion, and by Project QUITEMAD S2009-ESP-1594 of the Consejeria de Educacion de la Comunidad de Madrid.
dc.description.abstractWe derive simple practical tests revealing the quantum nature of states by the violation of classical upper bounds on the statistics of multiple outcomes of an observable. These criteria can be expressed in terms of the Kullback-Leibler divergence (or relative entropy). Nonclassicality tests for multiple outcomes can be satisfied by states that do not fulfill the corresponding single-outcome criteria.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipComunidad de Madrid
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MCINN), España
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/30851
dc.identifier.doi10.1103/PhysRevA.82.024101
dc.identifier.issn1050-2947
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevA.82.024101
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/44634
dc.issue.number2
dc.journal.titlePhysical review A
dc.language.isoeng
dc.page.final024101_4
dc.page.initial024101_1
dc.publisherAmerican Physical Society
dc.relation.projectIDQUITEMAD-CM (S2009/ESP-1594)
dc.relation.projectIDFIS2008-01267
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordPhase-space methods
dc.subject.keywordNoncommuting operators
dc.subject.keywordQuantum mechanics
dc.subject.keywordWigner function
dc.subject.keywordStates
dc.subject.keywordCalculus
dc.subject.keywordOptics
dc.subject.keywordField
dc.subject.keywordRadiation
dc.subject.keywordCoherent
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleNonclassicality tests by classical bounds on the statistics of multiple outcomes
dc.typejournal article
dc.volume.number82
dcterms.references[1] L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, Cambridge, England, 1995); M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, Cambridge, England, 1997); Ch. Gerry and P. Knight, Introductory Quantum Optics (Cambridge University, Cambridge, England, 2004); V. V. Dodonov, J. Opt. B 4, R1 (2002). [2] A. Rivas and A. Luis, Phys. Rev. A 79, 042105 (2009). [3] E. C. G. Sudarshan, Phys. Rev. Lett. 10, 277 (1963); R. J. Glauber, Phys. Rev. 131, 2766 (1963). [4] J. G. Kirkwood, Phys. Rev. 44, 31 (1933); H. Margenau and R. N. Hill, Prog. Theor. Phys. 26, 722 (1961); C. L. Mehta, J. Math. Phys. 5, 677 (1964); L. Cohen, ibid. 7, 781 (1966); K. E. Cahill and R. J. Glauber, Phys. Rev. 177, 1857 (1969); 177, 1882 (1969); G. S. Agarwal and E. Wolf, Phys. Rev. D 2, 2161 (1970); 2, 2187 (1970); 2, 2206 (1970). [5] J. A. Vaccaro, Opt. Commun. 113, 421 (1995); Phys. Rev. A 52, 3474 (1995); J. A. Vaccaro and D. T. Pegg, ibid. 41, 5156 (1990); L. M. Johansen, Phys. Lett. A 329, 184 (2004); J. Opt. B 6, L21 (2004); L. M. Johansen and A. Luis, Phys. Rev. A 70, 052115 (2004); A. Luis, ibid. 73, 063806 (2006). [6] T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley Interscience, New York, 1991). [7] P.Marian, T. A. Marian, and H. Scutaru, Phys.Rev.A69, 022104 (2004). [8] L. Mandel, Phys. Scr., T 12, 34 (1986); M. Hillery, Phys. Rev. A 35, 725 (1987); C. T. Lee, ibid. 44, R2775 (1991); 52, 3374 (1995); M. G. Benedict and A. Czirják, ibid. 60, 4034 (1999); V. V. Dodonov, O. V. Man’ko, V. I. Man’ko, and A. Wünsche, J. Mod. Opt. 47, 633 (2000); W. Vogel, Phys. Rev. Lett. 84, 1849 (2000); P. Marian, T. A. Marian, and H. Scutaru, ibid. 88, 153601 (2002); J. M. C. Malbouisson and B. Baseia, Phys. Scr. 67, 93 (2003); V. V. Dodonov and M. B. Ren´o, Phys. Lett. A 308, 249 (2003); J. K. Asbóth, J. Calsamiglia, and H. Ritsch, Phys. Rev. Lett. 94, 173602 (2005). [9] F. T. Arecchi, E. Courtens, R. Gilmore, and H. Thomas, Phys. Rev. A 6, 2211 (1972). [10] O. Giraud, P. Braun, and D. Braun, Phys. Rev. A 78, 042112 (2008). [11] A. Luis and N. Korolkova, Phys. Rev. A 74, 043817 (2006).
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relation.isAuthorOfPublication.latestForDiscoveryb6f1fe2b-ee48-4add-bb0d-ffcbfad10da2

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