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dc.contributor.authorGorecki, Wojciech
dc.contributor.authorDemkowicz-Dobrzanski, Rafal
dc.contributor.authorWiseman, Howard M
dc.contributor.authorBerry, Dominic W
dc.date.accessioned2020-07-01T03:50:18Z
dc.date.available2020-07-01T03:50:18Z
dc.date.issued2020
dc.identifier.issn0031-9007
dc.identifier.doi10.1103/PhysRevLett.124.030501
dc.identifier.urihttp://hdl.handle.net/10072/395049
dc.description.abstractWe consider the precision Δφ with which the parameter φ, appearing in the unitary map Uφ=eiφΛ, acting on some type of probe system, can be estimated when there is a finite amount of prior information about φ. We show that, if Uφ acts n times in total, then, asymptotically in n, there is a tight lower bound Δφ≥π/[n(λ+-λ-)], where λ+, λ- are the extreme eigenvalues of the generator Λ. This is greater by a factor of π than the conventional Heisenberg limit, derived from the properties of the quantum Fisher information. That is, the conventional bound is never saturable. Our result makes no assumptions on the measurement protocol and is relevant not only in the noiseless case but also if noise can be eliminated using quantum error correction techniques.
dc.description.peerreviewedYes
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.ispartofpagefrom030501:1
dc.relation.ispartofpageto030501:5
dc.relation.ispartofissue3
dc.relation.ispartofjournalPhysical Review Letters
dc.relation.ispartofvolume124
dc.subject.fieldofresearchMathematical sciences
dc.subject.fieldofresearchPhysical sciences
dc.subject.fieldofresearchEngineering
dc.subject.fieldofresearchcode49
dc.subject.fieldofresearchcode51
dc.subject.fieldofresearchcode40
dc.subject.keywordsScience & Technology
dc.subject.keywordsPhysics, Multidisciplinary
dc.subject.keywordsPhysics
dc.titleπ-Corrected Heisenberg Limit
dc.typeJournal article
dc.type.descriptionC1 - Articles
dcterms.bibliographicCitationGorecki, W; Demkowicz-Dobrzanski, R; Wiseman, HM; Berry, DW, π-Corrected Heisenberg Limit, American Physical Society, 2020, 124 (3), pp. 030501:1-030501:5
dc.date.updated2020-07-01T03:43:25Z
dc.description.versionAccepted Manuscript (AM)
gro.rights.copyright© 2020 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.
gro.hasfulltextFull Text
gro.griffith.authorWiseman, Howard M.
gro.griffith.authorBerry, Dominic W.


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