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Article: Joint estimation of real squeezing and displacement

TitleJoint estimation of real squeezing and displacement
Authors
Issue Date2006
Citation
Journal of Physics A: Mathematical and General, 2006, v. 39, n. 9, p. 2127-2142 How to Cite?
AbstractWe study the problem of joint estimation of real squeezing and amplitude of the radiation field, deriving the measurement that maximizes the probability density of detecting the true value of the unknown parameters. More generally, we provide a solution for the problem of estimating the unknown unitary action of a nonunimodular group in the maximum likelihood approach. Remarkably, in this case the optimal measurements do not coincide with the so-called square-root measurements. In the case of squeezing and displacement we analyse in detail the sensitivity of estimation for coherent states and displaced squeezed states, deriving the asymptotic relation between the uncertainties in the joint estimation and the corresponding uncertainties in the optimal separate measurements of squeezing and displacement. A two-mode set-up is also analysed, showing how entanglement between optical modes can be used to approximate perfect estimation. © 2006 IOP Publishing Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/212858
ISSN
2006 Impact Factor: 1.577
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChiribella, G.-
dc.contributor.authorD'Ariano, G. M.-
dc.contributor.authorSacchi, M. F.-
dc.date.accessioned2015-07-28T04:05:14Z-
dc.date.available2015-07-28T04:05:14Z-
dc.date.issued2006-
dc.identifier.citationJournal of Physics A: Mathematical and General, 2006, v. 39, n. 9, p. 2127-2142-
dc.identifier.issn0305-4470-
dc.identifier.urihttp://hdl.handle.net/10722/212858-
dc.description.abstractWe study the problem of joint estimation of real squeezing and amplitude of the radiation field, deriving the measurement that maximizes the probability density of detecting the true value of the unknown parameters. More generally, we provide a solution for the problem of estimating the unknown unitary action of a nonunimodular group in the maximum likelihood approach. Remarkably, in this case the optimal measurements do not coincide with the so-called square-root measurements. In the case of squeezing and displacement we analyse in detail the sensitivity of estimation for coherent states and displaced squeezed states, deriving the asymptotic relation between the uncertainties in the joint estimation and the corresponding uncertainties in the optimal separate measurements of squeezing and displacement. A two-mode set-up is also analysed, showing how entanglement between optical modes can be used to approximate perfect estimation. © 2006 IOP Publishing Ltd.-
dc.languageeng-
dc.relation.ispartofJournal of Physics A: Mathematical and General-
dc.titleJoint estimation of real squeezing and displacement-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1088/0305-4470/39/9/009-
dc.identifier.scopuseid_2-s2.0-32944461280-
dc.identifier.volume39-
dc.identifier.issue9-
dc.identifier.spage2127-
dc.identifier.epage2142-
dc.identifier.isiWOS:000236470700009-

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