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dc.contributor.authorZwierz, Marcin
dc.contributor.authorA. Pe ́rez-Delgado, Carlos
dc.contributor.authorKok, Pieter
dc.date.accessioned2017-05-03T16:06:12Z
dc.date.available2017-05-03T16:06:12Z
dc.date.issued2012
dc.date.modified2013-06-03T00:33:51Z
dc.identifier.issn10502947
dc.identifier.doi10.1103/PhysRevA.85.042112
dc.identifier.urihttp://hdl.handle.net/10072/46991
dc.description.abstractFor the last 20 years, the question of what are the fundamental capabilities of quantum precision measurements has sparked a lively debate throughout the scientific community. Typically, the ultimate limits in quantum metrology are associated with the notion of the Heisenberg limit expressed in terms of the physical resources used in the measurement procedure. Over the years, a variety of different physical resources were introduced, leading to a confusion about the meaning of the Heisenberg limit. Here, we review the mainstream definitions of the relevant resources and introduce the universal resource count, that is, the expectation value of the generator (above its ground state) of translations in the parameter we wish to estimate, that applies to all measurement strategies. This leads to the ultimate formulation of the Heisenberg limit for quantum metrology. We prove that this limit holds for the generators of translations with an upper-bounded spectrum.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent256670 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.publisher.placeUnited States
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom042112-1
dc.relation.ispartofpageto042112-8
dc.relation.ispartofissue4
dc.relation.ispartofjournalPhysical Review A
dc.relation.ispartofvolume85
dc.rights.retentionY
dc.subject.fieldofresearchQuantum Information, Computation and Communication
dc.subject.fieldofresearchMathematical Sciences
dc.subject.fieldofresearchPhysical Sciences
dc.subject.fieldofresearchChemical Sciences
dc.subject.fieldofresearchcode020603
dc.subject.fieldofresearchcode01
dc.subject.fieldofresearchcode02
dc.subject.fieldofresearchcode03
dc.titleUltimate limits to quantum metrology and the meaning of the Heisenberg limit
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 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.
gro.date.issued2012
gro.hasfulltextFull Text
gro.griffith.authorZwierz, Marcin


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