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dc.contributor.authorHall, Michaelen_US
dc.contributor.authorW. Berry, Dominicen_US
dc.contributor.authorZwierz, Marcinen_US
dc.contributor.authorWiseman, Howarden_US
dc.date.accessioned2017-04-24T08:47:13Z
dc.date.available2017-04-24T08:47:13Z
dc.date.issued2012en_US
dc.date.modified2013-06-28T02:32:11Z
dc.identifier.issn10502947en_US
dc.identifier.doi10.1103/PhysRevA.85.041802en_US
dc.identifier.urihttp://hdl.handle.net/10072/46962
dc.description.abstractThe Heisenberg limit traditionally provides a lower bound on the phase uncertainty scaling as 1/ N , where N is the mean number of photons in the probe. However, this limit has a number of loopholes which potentially might be exploited to achieve measurements with even greater accuracy. Here we close these loopholes by proving a completely rigorous form of the Heisenberg limit for the average error over all phase shifts, applicable to any estimate of a completely unknown phase shift. Our result gives a completely general, constraint-free, and nonasymptotic statement of the Heisenberg limit. It holds for all phase estimation schemes, including multiple passes, nonlinear phase shifts, multimode probes, and arbitrary measurements.en_US
dc.description.peerreviewedYesen_US
dc.description.publicationstatusYesen_US
dc.format.extent801242 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglishen_US
dc.language.isoen_US
dc.publisherAmerican Physical Societyen_US
dc.publisher.placeUnited Statesen_US
dc.relation.ispartofstudentpublicationNen_US
dc.relation.ispartofpagefrom041802-1en_US
dc.relation.ispartofpageto041802-4en_US
dc.relation.ispartofjournalPhysical Review Aen_US
dc.relation.ispartofvolume85en_US
dc.rights.retentionYen_US
dc.subject.fieldofresearchQuantum Information, Computation and Communicationen_US
dc.subject.fieldofresearchcode020603en_US
dc.titleUniversality of the Heisenberg limit for estimates of random phase shiftsen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
gro.rights.copyrightCopyright 2012 American Physical Society. This is the author-manuscript version of this paper. Reproduced 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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