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dc.contributor.authorAbbott, Alastair A.
dc.contributor.authorAlzieu, Pierre-Louis
dc.contributor.authorHall, Michael
dc.contributor.authorBranciard, Cyril
dc.date.accessioned2017-07-27T02:28:07Z
dc.date.available2017-07-27T02:28:07Z
dc.date.issued2016
dc.identifier.issn2227-7390
dc.identifier.doi10.3390/math4010008
dc.identifier.urihttp://hdl.handle.net/10072/101025
dc.description.abstractThe well-known Robertson–Schrödinger uncertainty relations have state-dependent lower bounds, which are trivial for certain states. We present a general approach to deriving tight state-independent uncertainty relations for qubit measurements that completely characterise the obtainable uncertainty values. This approach can give such relations for any number of observables, and we do so explicitly for arbitrary pairs and triples of qubit measurements. We show how these relations can be transformed into equivalent tight entropic uncertainty relations. More generally, they can be expressed in terms of any measure of uncertainty that can be written as a function of the expectation value of the observable for a given state.
dc.description.peerreviewedYes
dc.languageEnglish
dc.language.isoeng
dc.publisherM D P I AG
dc.relation.ispartofpagefrom8-1
dc.relation.ispartofpageto8-17
dc.relation.ispartofissue1
dc.relation.ispartofjournalMathematics
dc.relation.ispartofvolume4
dc.subject.fieldofresearchQuantum Information, Computation and Communication
dc.subject.fieldofresearchcode020603
dc.titleTight State-Independent Uncertainty Relations for Qubits
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
dcterms.licensehttp://creativecommons.org/licenses/by/4.0/
dc.description.versionVersion of Record (VoR)
gro.rights.copyright© 2016 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons by Attribution (CC-BY) license (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
gro.hasfulltextFull Text
gro.griffith.authorHall, Michael J.


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