Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions
| dc.contributor.author | Luis Aina, Alfredo | |
| dc.date.accessioned | 2023-06-20T03:52:31Z | |
| dc.date.available | 2023-06-20T03:52:31Z | |
| dc.date.issued | 2011-09-14 | |
| dc.description | ©2011 American Physical Society. A.L. acknowledges support from Project No. FIS2008-01267 of the Spanish Direccion General de Investigacion del Ministerio de Ciencia e Innovacion, and from Project QUITEMAD S2009-ESP-1594 of the Consejeria de Educacion de la Comunidad de Madrid. | |
| dc.description.abstract | We show within a very simple framework that different measures of fluctuations lead to uncertainty relations resulting in contradictory conclusions. More specifically we focus on Tsallis and Renyi entropic uncertainty relations and we get that the minimum joint uncertainty states for some fluctuation measures are the maximum joint uncertainty states of other fluctuation measures, and vice versa. | |
| dc.description.department | Depto. de Óptica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Ciencia e Innovacion (MICINN), España | |
| dc.description.sponsorship | Comunidad de Madrid | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/30430 | |
| dc.identifier.doi | 10.1103/PhysRevA.84.034101 | |
| dc.identifier.issn | 1050-2947 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevA.84.034101 | |
| dc.identifier.relatedurl | http://journals.aps.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/44598 | |
| dc.issue.number | 3 | |
| dc.journal.title | Physical review A | |
| dc.language.iso | eng | |
| dc.page.final | 034101/4 | |
| dc.page.initial | 034101/1 | |
| dc.publisher | American Physical Society | |
| dc.relation.projectID | FIS2008-01267 | |
| dc.relation.projectID | QUITEMAD S2009-ESP-1594 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 535 | |
| dc.subject.keyword | Entropic uncertainty | |
| dc.subject.keyword | Quantum measurements | |
| dc.subject.keyword | Phase measurement | |
| dc.subject.keyword | Complementary observables | |
| dc.subject.keyword | Optical-phase | |
| dc.subject.keyword | Information | |
| dc.subject.keyword | Mechanics | |
| dc.subject.keyword | Principle | |
| dc.subject.keyword | Standard | |
| dc.subject.keyword | Angle | |
| dc.subject.ucm | Óptica (Física) | |
| dc.subject.unesco | 2209.19 Óptica Física | |
| dc.title | Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions | |
| dc.type | journal article | |
| dc.volume.number | 84 | |
| dcterms.references | [1] J. Hilgevoord, Am. J. Phys. 70, 983 (2002); G. N. Lawrence, Laser Focus World 30, 109 (1994); J. Rӗha`cӗk and Z. Hradil, J. Mod. Opt. 51, 979 (2004). [2] A. Luis, Phys. Rev. A 64, 012103 (2001); 67, 032108 (2003). [3] J. M. Lévy-Leblond, Ann. Phys. (NY) 101, 319 (1976); E. Breitenberger, Found. Phys. 15, 353 (1985); J. B. M. Uffink, Phys. Lett. A 108, 59 (1985); J. M. Lévy-Leblond, ibid. 111, 353 (1985); S. M. Barnett and D. T. Pegg, J. Mod. Opt. 36, 7 (1989); Z. Hradil, Phys. Rev. A 46, R2217 (1992); Quantum Opt. 4, 93 (1992); T. Opatrn´y, J. Phys. A 27, 7201 (1994); V. Peřinová, A. Lukš, and J. Peřina, Phase in Optics (World Scientific, Singapore, 1998). [4] I. I. Hirschman, Am. J. Math. 79, 152 (1957); I. Bialynicki-Birula and J. Mycielski, Commun. Math. Phys. 44, 129 (1975); D. Deutsch, Phys. Rev. Lett. 50, 631 (1983); M. H. Partovi, ibid. 50, 1883 (1983); K. Kraus, Phys. Rev. D 35, 3070 (1987); H. Maassen and J. B. M. Uffink, Phys. Rev. Lett. 60, 1103 (1988); J. Sanchez, Phys. Lett. A 173, 233 (1993); Č . Brukner and A. Zeilinger, Phys. Rev. Lett. 83, 3354 (1999); Phys. Rev. A 63, 022113 (2001); V. Majerník and E. Majerníková, Rep. Math. Phys. 47, 381 (2001); M. J. W. Hall, Phys. Rev. A 64, 052103 (2001); S. Massar and P. Spindel, Phys. Rev. Lett. 100, 190401 (2008); S. Wehner and A. Winter, New J. Phys. 12, 025009 (2010); I. Bialynicki-Birula and L. Rudnicki, e-print arXiv:1001.4668v1; I. Urizar-Lanz and G. Tóth, Phys. Rev. A 81, 052108 (2010); P. Sánchez-Moreno, A. R. Plastino, and J. S. Dehesa, J. Phys. A 44, 065301 (2011); A. E. Rastegin, ibid. 44, 095303 (2011). [5] C. Tsallis, J. Stat. Phys. 52, 479 (1988); E. M. F. Curado and C. Tsallis, J. Phys. A 24, L69 (1991); A. K. Rajagopal, Phys. Lett. A 205, 32 (1995). [6] M. Portesi and A. Plastino, Physica A 225, 412 (1996). [7] A. Renyi, in Proceedings of the 4th Berkeley Symposium on Mathematics and Staticstical Probability, Vol. 1 (University of California Press, Berkeley, California, 1961), pp. 547–561; U. Larsen, J. Phys. A 23, 1041 (1990); I. Bialynicki-Birula, Phys. Rev. A 74, 052101 (2006). [8] A. Luis, Opt. Lett. 31, 3644 (2006); Phys. Rev. A 75, 052115 (2007). [9] S. Zozor,M. Portesi, and C.Vignat, PhysicaA387, 4800 (2008). [10] A. Luis, Phys. Rev. A 80, 034101 (2009). [11] Z. Hradil, R. Myška, T. Opatrný, and J. Bajer, Phys. Rev. A 53, 3738 (1996); G. A. Durkin and J. P. Dowling, Phys. Rev. Lett. 99, 070801 (2007). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | b6f1fe2b-ee48-4add-bb0d-ffcbfad10da2 | |
| relation.isAuthorOfPublication.latestForDiscovery | b6f1fe2b-ee48-4add-bb0d-ffcbfad10da2 |
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