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dc.contributor.authorJ. W. Hall, Michaelen_US
dc.date.accessioned2017-05-03T16:06:08Z
dc.date.available2017-05-03T16:06:08Z
dc.date.issued2011en_US
dc.date.modified2012-07-27T03:25:40Z
dc.identifier.issn10502947en_US
dc.identifier.doi10.1103/PhysRevA.84.022102en_US
dc.identifier.urihttp://hdl.handle.net/10072/42804
dc.description.abstractThe combination of various physically plausible properties, such as no signaling, determinism, and experimental free will, is known to be incompatible with quantum correlations. Hence, these properties must be individually or jointly relaxed in any model of such correlations. The necessary degrees of relaxation are quantified here via natural distance and information-theoretic measures. This allows quantitative comparisons between different models in terms of the resources, such as the number of bits of randomness, communication, and/or correlation, that they require. For example, measurement dependence is a relatively strong resource for modeling singlet-state correlations, with only 1/15 of one bit of correlation required between measurement settings and the underlying variable. It is shown how various "relaxed" Bell inequalities may be obtained, which precisely specify the complementary degrees of relaxation required to model any given violation of a standard Bell inequality. The robustness of a class of Kochen-Specker theorems, to relaxation of measurement independence, is also investigated. It is shown that a theorem of Mermin remains valid unless measurement independence is relaxed by 1/3. The Conway-Kochen "free will" theorem and a result of Hardy are less robust, failing if measurement independence is relaxed by only 6.5% and 4.5%, respectively. An appendix shows that existence of an outcome-independent model is equivalent to existence of a deterministic model.en_US
dc.description.peerreviewedYesen_US
dc.description.publicationstatusYesen_US
dc.format.extent289041 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.ispartofpagefrom022102-1en_US
dc.relation.ispartofpageto022102-16en_US
dc.relation.ispartofissue2en_US
dc.relation.ispartofjournalPhysical Review Aen_US
dc.relation.ispartofvolume84en_US
dc.rights.retentionYen_US
dc.subject.fieldofresearchQuantum Physics not elsewhere classifieden_US
dc.subject.fieldofresearchQuantum Information, Computation and Communicationen_US
dc.subject.fieldofresearchcode020699en_US
dc.subject.fieldofresearchcode020603en_US
dc.titleRelaxed Bell inequalities and Kochen-Specker theoremsen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
gro.rights.copyrightCopyright 2011 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.issued2011
gro.hasfulltextFull Text


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