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Ultimate precision of joint quadrature parameter estimation with a Gaussian probe

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dc.contributor.authorBradshaw, Mark
dc.contributor.authorLam, Ping Koy
dc.contributor.authorAssad, Syed
dc.date.accessioned2021-12-20T04:25:02Z
dc.date.available2021-12-20T04:25:02Z
dc.date.issued2018
dc.date.updated2020-11-23T12:00:48Z
dc.description.abstractThe Holevo Cramér-Rao bound is a lower bound on the sum of the mean-square error of estimates for parameters of a state. We provide a method for calculating the Holevo Cramér-Rao bound for estimation of quadrature mean parameters of a Gaussian state by formulating the problem as a semidefinite program. In this case, the bound is tight; it is attained by purely Gaussian measurements. We consider the example of a symmetric two-mode squeezed thermal state undergoing an unknown displacement on one mode. We calculate the Holevo Cramér-Rao bound for joint estimation of the conjugate parameters for this displacement. The optimal measurement is different depending on whether the state is entangled or separable.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn1050-2947en_AU
dc.identifier.urihttp://hdl.handle.net/1885/257124
dc.language.isoen_AUen_AU
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/13634..."published version can be archived in institutional repository" from Sherpa/Romeo site as at 20/12/2021en_AU
dc.publisherAmerican Physical Societyen_AU
dc.relationhttp://purl.org/au-research/grants/arc/CE110001027en_AU
dc.rights© 2017 The Authorsen_AU
dc.sourcePhysical Review A: Atomic, Molecular and Optical Physicsen_AU
dc.titleUltimate precision of joint quadrature parameter estimation with a Gaussian probeen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Accessen_AU
local.bibliographicCitation.issue1en_AU
local.contributor.affiliationBradshaw, Mark, College of Science, ANUen_AU
local.contributor.affiliationLam, Ping, College of Science, ANUen_AU
local.contributor.affiliationAssad, Syed, College of Science, ANUen_AU
local.contributor.authoruidBradshaw, Mark, u5751870en_AU
local.contributor.authoruidLam, Ping, u9305867en_AU
local.contributor.authoruidAssad, Syed, u4365678en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor020699 - Quantum Physics not elsewhere classifieden_AU
local.identifier.ariespublicationa383154xPUB9418en_AU
local.identifier.citationvolume97en_AU
local.identifier.doi10.1103/PhysRevA.97.012106en_AU
local.identifier.scopusID2-s2.0-85042059055
local.publisher.urlhttps://journals.aps.org/en_AU
local.type.statusPublished Versionen_AU

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