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dc.contributor.authorBerry, Dominic W
dc.contributor.authorTsang, Mankei
dc.contributor.authorHall, Michael JW
dc.contributor.authorWiseman, Howard M
dc.date.accessioned2017-08-31T02:01:18Z
dc.date.available2017-08-31T02:01:18Z
dc.date.issued2015
dc.identifier.issn2160-3308
dc.identifier.doi10.1103/PhysRevX.5.031018
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.
dc.description.peerreviewedYes
dc.languageEnglish
dc.publisherAmerican Physical Society
dc.publisher.placeUnited States
dc.relation.ispartofpagefrom031018-1
dc.relation.ispartofpageto031018-28
dc.relation.ispartofissue3
dc.relation.ispartofjournalPhysical Review X
dc.relation.ispartofvolume5
dc.subject.fieldofresearchQuantum Information, Computation and Communication
dc.subject.fieldofresearchQuantum Optics
dc.subject.fieldofresearchQuantum Physics
dc.subject.fieldofresearchcode020603
dc.subject.fieldofresearchcode020604
dc.subject.fieldofresearchcode0206
dc.titleQuantum Bell-Ziv-Zakai Bounds and Heisenberg Limits for Waveform Estimation
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
dcterms.licensehttp://creativecommons.org/licenses/by/3.0/
dc.description.versionPublished
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.
gro.hasfulltextFull Text
gro.griffith.authorWiseman, Howard M.
gro.griffith.authorHall, Michael J.


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