Two proofs of Fine's theorem
File(s)
Accepted version
Author(s)
Halliwell, JJ
Type
Journal Article
Abstract
Fine's theorem concerns the question of determining the conditions under which a certain set of probabilities for pairs of four bivalent quantities may be taken to be the marginals of an underlying probability distribution. The eight CHSH inequalities are well-known to be necessary conditions, but Fine's theorem is the striking result that they are also sufficient conditions. Here two transparent and self-contained proofs of Fine's theorem are presented. The first is a physically motivated proof using an explicit local hidden variables model. The second is an algebraic proof which uses a representation of the probabilities in terms of correlation functions.
Date Issued
2014-08-14
Date Acceptance
2014-08-12
Citation
Physics Letters A, 2014, 378 (40), pp.2945-2950
ISSN
0375-9601
Publisher
Elsevier
Start Page
2945
End Page
2950
Journal / Book Title
Physics Letters A
Volume
378
Issue
40
Copyright Statement
© 2014 Elsevier B.V. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000342548800005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Grant Number
EP/J008060/1
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
BELL INEQUALITIES
QUANTUM CORRELATIONS
JOINT PROBABILITY
DISTRIBUTIONS
OBSERVABLES
TESTS
Publication Status
Published