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dc.contributor.authorHall, Michael JW
dc.date.accessioned2017-05-03T16:06:08Z
dc.date.available2017-05-03T16:06:08Z
dc.date.issued2011
dc.date.modified2012-07-27T03:25:40Z
dc.identifier.issn1050-2947
dc.identifier.doi10.1103/PhysRevA.84.022102
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.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent289041 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.publisher.placeUnited States
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom022102-1
dc.relation.ispartofpageto022102-16
dc.relation.ispartofissue2
dc.relation.ispartofjournalPhysical Review A
dc.relation.ispartofvolume84
dc.rights.retentionY
dc.subject.fieldofresearchMathematical sciences
dc.subject.fieldofresearchPhysical sciences
dc.subject.fieldofresearchQuantum information, computation and communication
dc.subject.fieldofresearchQuantum physics not elsewhere classified
dc.subject.fieldofresearchChemical sciences
dc.subject.fieldofresearchcode49
dc.subject.fieldofresearchcode51
dc.subject.fieldofresearchcode510803
dc.subject.fieldofresearchcode510899
dc.subject.fieldofresearchcode34
dc.titleRelaxed Bell inequalities and Kochen-Specker theorems
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 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.
gro.date.issued2011
gro.hasfulltextFull Text
gro.griffith.authorHall, Michael J.


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