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dc.contributor.authorFriedman, Andrew S.
dc.contributor.authorHall, Michael J. W.
dc.contributor.authorGallicchio, Jason
dc.contributor.authorGuth, Alan
dc.contributor.authorKaiser, David I
dc.date.accessioned2019-03-04T19:49:47Z
dc.date.available2019-03-04T19:49:47Z
dc.date.issued2019-01
dc.date.submitted2018-09
dc.identifier.issn2469-9926
dc.identifier.issn2469-9934
dc.identifier.urihttp://hdl.handle.net/1721.1/120708
dc.description.abstractBell's inequality was originally derived under the assumption that experimenters are free to select detector settings independently of any local "hidden variables" that might affect the outcomes of measurements on entangled particles. This assumption has come to be known as "measurement independence" (also referred to as "freedom of choice" or "settings independence"). For a two-setting, two-outcome Bell test, we derive modified Bell inequalities that relax measurement independence, for either or both observers, while remaining locally causal. We describe the loss of measurement independence for each observer using the parameters M1 and M2, as defined by Hall in 2010, and also by a more complete description that adds two new parameters, which we call M1 and M2, deriving a modified Bell inequality for each description. These "relaxed" inequalities subsume those considered in previous work as special cases, and quantify how much the assumption of measurement independence needs to be relaxed in order for a locally causal model to produce a given violation of the standard Bell-Clauser-Horne-Shimony-Holt (Bell-CHSH) inequality. We show that both relaxed Bell inequalities are tight bounds on the CHSH parameter by constructing locally causal models that saturate them. For any given Bell inequality violation, the new two-parameter and four-parameter models each require significantly less mutual information between the hidden variables and measurement settings than previous models. We conjecture that the new models, with optimal parameters, require the minimum possible mutual information for a given Bell violation. We further argue that, contrary to various claims in the literature, relaxing freedom of choice need not imply superdeterminism.en_US
dc.description.sponsorshipUnited States. Department of Energy (Contract DE-SC0012567)en_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevA.99.012121en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceAPSen_US
dc.titleRelaxed Bell inequalities with arbitrary measurement dependence for each observeren_US
dc.typeArticleen_US
dc.identifier.citationFriedman, Andrew S. et al. “Relaxed Bell Inequalities with Arbitrary Measurement Dependence for Each Observer.” Physical Review A 99, 1 (January 2019): 012121 © 2019 American Physical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Center for Theoretical Physicsen_US
dc.contributor.mitauthorGuth, Alan
dc.contributor.mitauthorKaiser, David I
dc.relation.journalPhysical Review Aen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2019-02-07T14:09:02Z
dspace.orderedauthorsFriedman, Andrew S.; Guth, Alan H.; Hall, Michael J. W.; Kaiser, David I.; Gallicchio, Jasonen_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0003-3802-5206
dc.identifier.orcidhttps://orcid.org/0000-0002-5054-6744
mit.licensePUBLISHER_POLICYen_US


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