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dc.contributor.authorHall, Michaelen_US
dc.contributor.authorWiseman, Howarden_US
dc.date.accessioned2017-04-24T08:47:14Z
dc.date.available2017-04-24T08:47:14Z
dc.date.issued2012en_US
dc.date.modified2013-06-28T02:33:21Z
dc.identifier.issn13672630en_US
dc.identifier.doi10.1088/1367-2630/14/3/033040en_US
dc.identifier.urihttp://hdl.handle.net/10072/46992
dc.description.abstractA rigorous lower bound is obtained for the average resolution of any estimate of a shift parameter, such as an optical phase shift or a spatial translation. The bound has the asymptotic form kI/<2|G|> where G is the generator of the shift (with an arbitrary discrete or continuous spectrum), and hence establishes a universally applicable bound of the same form as the usual Heisenberg limit. The scaling constant kI depends on prior information about the shift parameter. For example, in phase sensing regimes, where the phase shift is confined to some small interval of length L, the relative resolution has the strict lower bound (2pe3)-1/2/<2m|G1| + 1>, where m is the number of probes, each with generator G1, and entangling joint measurements are permitted. Generalizations using other resource measures and including noise are briefly discussed. The results rely on the derivation of general entropic uncertainty relations for continuous observables, which are of interest in their own right.en_US
dc.description.peerreviewedYesen_US
dc.description.publicationstatusYesen_US
dc.format.extent597828 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglishen_US
dc.language.isoen_US
dc.publisherIOP Publishing Ltden_US
dc.publisher.placeUnited Kingdomen_US
dc.relation.ispartofstudentpublicationNen_US
dc.relation.ispartofpagefrom033040-1en_US
dc.relation.ispartofpageto033040-22en_US
dc.relation.ispartofjournalNew Journal of Physicsen_US
dc.relation.ispartofvolume14en_US
dc.rights.retentionYen_US
dc.subject.fieldofresearchQuantum Information, Computation and Communicationen_US
dc.subject.fieldofresearchcode020603en_US
dc.titleHeisenberg-style bounds for arbitrary estimates of shift parameters including prior informationen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
gro.description.notepublicPage numbers are not for citation purposes. Instead, this article has the unique article number of 033040.en_US
gro.rights.copyrightCopyright 2012 Institute of Physics Publishing. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.en_US
gro.date.issued2012
gro.hasfulltextFull Text


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