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dc.contributor.authorW. Berry, Dominic
dc.contributor.authorTsang, Mankei
dc.contributor.authorHall, Michael
dc.contributor.authorWiseman, Howard
dc.date.accessioned2017-08-31T02:01:18Z
dc.date.available2017-08-31T02:01:18Z
dc.date.issued2015
dc.identifier.issn21603308en_US
dc.identifier.doi10.1103/PhysRevX.5.031018en_US
dc.identifier.urihttp://hdl.handle.net/10072/151001
dc.description.abstractWe propose quantum versions of the Bell-Ziv-Zakai lower bounds for the error in multiparameter estimation. As an application, we consider measurement of a time-varying optical phase signal with stationary Gaussian prior statistics and a power-law spectrum ∼1=jωjp, with p > 1. With no other assumptions, we show that the mean-square error has a lower bound scaling as 1=N2ðp−1Þ=ðpþ1Þ, where N is the time-averaged mean photon flux. Moreover, we show that this scaling is achievable by sampling and interpolation, for any p > 1. This bound is thus a rigorous generalization of the Heisenberg limit, for measurement of a single unknown optical phase, to a stochastically varying optical phase.en_US
dc.description.peerreviewedYesen_US
dc.languageEnglishen_US
dc.publisherAmerican Physical Societyen_US
dc.publisher.placeUnited Statesen_US
dc.relation.ispartofpagefrom031018-1en_US
dc.relation.ispartofpageto031018-28en_US
dc.relation.ispartofissue3en_US
dc.relation.ispartofjournalPhysical Review Xen_US
dc.relation.ispartofvolume5en_US
dc.subject.fieldofresearchQuantum Information, Computation and Communicationen_US
dc.subject.fieldofresearchQuantum Opticsen_US
dc.subject.fieldofresearchcode020603en_US
dc.subject.fieldofresearchcode020604en_US
dc.titleQuantum Bell-Ziv-Zakai Bounds and Heisenberg Limits for Waveform Estimationen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
dcterms.licensehttp://creativecommons.org/licenses/by/3.0/en_US
dc.description.versionPublisheden_US
gro.rights.copyright© The Author(s) 2015. Published by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License (http://creativecommons.org/licenses/by/3.0/) which permits unrestricted, non-commercial use, distribution and reproduction in any medium, providing that the work is properly cited.en_US
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