A Note on the Geometric Interpretation of Bell’s Inequalities

Using results of Pitowsky and Gupta, we show in a direct, elementary fashion that, in the case of three spins, Bell’s inequalities indeed provide a representation of the tetrahedron of all spin correlation matrices as intersection of half-spaces.

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Bibliographic Details
Published in:	Letters in mathematical physics Vol. 103; no. 11; pp. 1165 - 1170
Main Authors:	Dai Pra, Paolo, Pavon, Michele, Sahasrabudhe, Neeraja
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01-11-2013
Subjects:	Complex Systems Geometry Group Theory and Generalizations Mathematical and Computational Physics Physics Physics and Astronomy Theoretical 62H20 correlation matrix 52B12 Bell’s inequalities 81P40
Online Access:	Get full text
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Description
Summary:	Using results of Pitowsky and Gupta, we show in a direct, elementary fashion that, in the case of three spins, Bell’s inequalities indeed provide a representation of the tetrahedron of all spin correlation matrices as intersection of half-spaces.
ISSN:	0377-9017 1573-0530
DOI:	10.1007/s11005-013-0631-8