Aviso: para depositar documentos, por favor, inicia sesión e identifícate con tu cuenta de correo institucional de la UCM con el botón MI CUENTA UCM. No emplees la opción AUTENTICACIÓN CON CONTRASEÑA
 

Alternative measures of uncertainty in quantum metrology: contradictions and limits

dc.contributor.authorLuis Aina, Alfredo
dc.contributor.authorRodil, Alfonso
dc.date.accessioned2023-06-19T14:54:08Z
dc.date.available2023-06-19T14:54:08Z
dc.date.issued2013-03-07
dc.description©2013 American Physical Society. A.L. acknowledges support from Projects No. FIS2012-35583 of the Spanish Ministerio de Economia y Competitividad, and No. QUITEMAD S2009-ESP-1594 of the Comunidad de Madrid.
dc.description.abstractWe examine a family of intrinsic performance measures in terms of probability distributions that generalize Hellinger distance and Fisher information. They are applied to quantum metrology to assess the uncertainty in the detection of minute changes of physical quantities. We show that different measures lead to contradictory conclusions, including the possibility of arbitrarily small uncertainty for fixed resources. These intrinsic performances are compared with the averaged error in the corresponding estimation problem after single-shot measurements.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economia y Competitividad (MINECO), España
dc.description.sponsorshipComunidad de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/30299
dc.identifier.doi10.1103/PhysRevA.87.034101
dc.identifier.issn1050-2947
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevA.87.034101
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/34663
dc.issue.number3
dc.journal.titlePhysical review A
dc.language.isoeng
dc.page.final034101/4
dc.page.initial034101/1
dc.publisherAmerican Physical Society
dc.relation.projectIDFIS2012-35583
dc.relation.projectIDQUITEMAD S2009-ESP-1594
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordEntropic uncertainty
dc.subject.keywordPhase measurement
dc.subject.keywordComplementary observables
dc.subject.keywordOptical-phase
dc.subject.keywordInformation
dc.subject.keywordStandard
dc.subject.keywordStatistics
dc.subject.keywordMechanics
dc.subject.keywordPrinciple
dc.subject.keywordGeometry
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleAlternative measures of uncertainty in quantum metrology: contradictions and limits
dc.typejournal article
dc.volume.number87
dcterms.references[1] V. Giovannetti, S. Lloyd, and L. Maccone, Phys. Rev. Lett. 96, 010401 (2006); M. Zwierz, C. A. Perez-Delgado, and P. Kok, ibid. 105, 180402 (2010); V. Giovannetti, S. Lloyd, and L. Maccone, Science 306, 1330 (2004) [2] A. Rivas and A. Luis, New J. Phys. 14, 093052 (2012). [3] M. Tsang, Phys. Rev. Lett. 108, 230401 (2012); V. Giovannetti and L. Maccone, ibid. 108, 210404 (2012); Y. Gao and H. Lee, J. Phys. A 45, 415306 (2012); V. Giovannetti, S. Lloyd, and L. Maccone, Phys. Rev. Lett. 108, 260405 (2012); M. J. W. Hall, D. W. Berry, M. Zwierz, and H. M. Wiseman, Phys. Rev. A 85, 041802(R) (2012); M. J. W. Hall and H. M. Wiseman, New J. Phys. 14, 033040 (2012); R. Nair, arXiv:1204.3761v1. [4] J. Hilgevoord, Am. J. Phys. 70, 983 (2002); G. N. Lawrence, Laser Focus World 30, 109 (1994); J. Řeháček and Z. Hradil, J. Mod. Opt. 51, 979 (2004). [5] A. Luis, Phys. Rev. A 64, 012103 (2001); 67, 032108 (2003). [6] 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. Opatrný, J. Phys. A 27, 7201 (1994); V. Peřinová, A. Lukřs, and J. Peřina, Phase in Optics (World Scientific, Singapore, 1998). [7] 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. Sánchez, 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 arXiv:1001.4668v1; I. Urizar-Lanz and G. Tóth, Phys. Rev. A 81, 052108 (2010); A. D. C. Nascimento, R. J. Cintra, and A. C. Frery, IEEE Trans. Geos. Remot. Sens. 48, 373 (2010); P. Sánchez-Moreno, A. R. Plastino, and J. S. Dehesa, J. Phys. A 44, 065301 (2011); A. E. Rastegin, ibid. 44, 095303 (2011). [8] A. Renyi, in Proceedings of the 4th Berkeley Symposium on Mathematics and Statistical Probability, Vol. 1 (University of California Press, Berkeley, 1961), pp. 547–561; C. Tsallis, J. Stat. Phys. 52, 479 (1988); U. Larsen, J. Phys. A 23, 1041 (1990); E. M. F. Curado and C. Tsallis, ibid. 24, L69 (1991); A. K. Rajagopal, Phys. Lett. A 205, 32 (1995); I. Csiszár, IEEE Trans. Inf. Theory 41, 26 (1995); M. Portesi and A. Plastino, Physica A 225, 412 (1996); I. Bialynicki-Birula, Phys. Rev. A 74, 052101 (2006); F. Chapeau-Blondeau, A. Delahaies, and D. Rousseau, Phys. Lett. A 375, 2211 (2011). [9] P.Matía-Hernando andA. Luis,Phys. Rev. A 86, 052106 (2012). [10] A. Luis, Phys. Rev. A 84, 034101 (2011). [11] M. Zakai, Inf. Control 3, 101 (1960); A. Luis, Opt. Lett. 31, 3644 (2006); Phys. Rev. A 75, 052115 (2007); S. Zozor, M. Portesi, and C. Vignat, Physica A 387, 4800 (2008). [12] M. J. W. Hall, Phys. Rev. A 62, 012107 (2000). [13] Z. Hradil, R. Myˇska, T. Opatrný, and J. Bajer, Phys. Rev. A 53, 3738 (1996); G. A. Durkin and J. P. Dowling, Phys. Rev. Lett. 99, 070801 (2007). [14] N. Hadjisavvas, Lin. Alegbra Appl. 84, 281 (1986); Z.-H. Ma and J.-L. Chen, J. Phys. A 44, 195303 (2011). [15] H. Cramér, Mathematical Methods of Statistics (Asia Publishing House, Bombay, 1962); T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley Interscience, New York, 1991); C.W. Helstrom, Phys. Lett. A 25, 101 (1967); IEEE Trans. Inf. Theory IT-14, 234 (1968); Quantum Detection and Estimation Theory (Academic, New York, 1976); S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. 72, 3439 (1994). [16] M. Moshinsky, Phys. Rev. 88, 625 (1952); E. Torrontegui, J. Muñoz, Y. Ban, and J. G. Muga, Phys. Rev. A 83, 043608 (2011). [17] M. J. W. Hall, Phys. Rev. A 59, 2602 (1999). [18] D. Maldonado-Mundo and A. Luis, Phys. Rev. A 80, 063811 (2009); A. Luis, Ann. Phys. (NY) 331, 1 (2013). [19] A. Luis and L. L. Sánchez-Soto, J. Mod. Opt. 38, 971 (1991).
dspace.entity.typePublication
relation.isAuthorOfPublicationb6f1fe2b-ee48-4add-bb0d-ffcbfad10da2
relation.isAuthorOfPublication.latestForDiscoveryb6f1fe2b-ee48-4add-bb0d-ffcbfad10da2

Download

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Luis,A08libre.pdf
Size:
217.69 KB
Format:
Adobe Portable Document Format

Collections