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Intrinsic metrological resolution as a distance measure and nonclassical light

dc.contributor.authorRivas, Ángel
dc.contributor.authorLuis Aina, Alfredo
dc.date.accessioned2023-06-20T10:56:30Z
dc.date.available2023-06-20T10:56:30Z
dc.date.issued2008-06-10
dc.description©2008 The American Physical Society. A.R. acknowledges financial support from the University of Hertfordshire and the EU Integrated Project QAP. A.L. acknowledges support from the Universidad Complutense Project No. PR1-A/07-15378.
dc.description.abstractWe elaborate on a Hilbert-Schmidt distance measure assessing the intrinsic metrological accuracy in the detection of signals imprinted on quantum probe states by signal-dependent transformations. For small signals this leads to a probe-transformation measure Lambda fully symmetric on the probe rho and the generator G of the transformation Λ(ρ,G)= Λ(G,ρ). Although Λ can be regarded as a generalization of variance, we show that no uncertainty relation holds for the product of measures corresponding to complementary generators. We show that all states with resolution larger than coherent states are nonclassical. We apply this formalism to feasible probes and transformations.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUniversity of Hertfordshire
dc.description.sponsorshipUnión Europea (UE)
dc.description.sponsorshipUniversidad Complutense de Madrid (UCM)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/31256
dc.identifier.doi10.1103/PhysRevA.77.063813
dc.identifier.issn1050-2947
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevA.77.063813
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51486
dc.issue.number6
dc.journal.titlePhysical review A
dc.language.isoeng
dc.page.final063813_8
dc.page.initial063813_1
dc.publisherAmerican Physical Society
dc.relation.projectIDPR1-A/07-15378
dc.relation.projectIDProject QAP
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordHilbert-schmidt distance
dc.subject.keywordQuantum states
dc.subject.keywordEntanglement measures
dc.subject.keywordProjection noise
dc.subject.keywordClassicality
dc.subject.keywordLimit
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleIntrinsic metrological resolution as a distance measure and nonclassical light
dc.typejournal article
dc.volume.number77
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