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Contradictions between different measures of quantum uncertainty

dc.contributor.authorMatia-Hernando, Paloma
dc.contributor.authorLuis Aina, Alfredo
dc.date.accessioned2023-06-20T03:51:36Z
dc.date.available2023-06-20T03:51:36Z
dc.date.issued2012-11-09
dc.description©2012 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 No. QUITEMAD S2009-ESP-1594 of the Consejeria de Educacion de la Comunidad de Madrid.
dc.description.abstractWe show that variance and Shannon entropy provide contradictory conclusions for the uncertainty associated with the number operator for some families of states of harmonic oscillator systems with fixed mean number, and for the uncertainty of a spin component for states with and without fixed mean. We analyze this behavior in terms of the properties of these uncertainty measures. We explore their impact on quantum metrology, examining the limits to resolution caused by number fluctuations in diverse scenarios of phase-shift detection.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovacion (MICINN), España
dc.description.sponsorshipConsejeria de Educacion de la Comunidad de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/30302
dc.identifier.doi10.1103/PhysRevA.86.052106
dc.identifier.issn1050-2947
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevA.86.052106
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/44571
dc.issue.number5
dc.journal.titlePhysical review A
dc.language.isoeng
dc.page.final052106/8
dc.page.initial052106/1
dc.publisherAmerican Physical Society
dc.relation.projectIDFIS2008-01267
dc.relation.projectIDQUITEMAD S2009-ESP-1594
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordEntropic uncertainty
dc.subject.keywordNonclassical states
dc.subject.keywordPhase measurement
dc.subject.keywordHeisenberg limit
dc.subject.keywordCoherent states
dc.subject.keywordWigner function
dc.subject.keywordOptical-phase
dc.subject.keywordComplementary observables
dc.subject.keywordInformation principle
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleContradictions between different measures of quantum uncertainty
dc.typejournal article
dc.volume.number86
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