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Entropy 2013, 15(6), 2448-2463; doi:10.3390/e15062448
Article

A Maximum Entropy Approach to the Realizability of Spin Correlation Matrices

,
*  and
Department of Mathematics, University of Padova, via Trieste 63, 35121 Padova, Italy
* Author to whom correspondence should be addressed.
Received: 26 February 2013 / Revised: 10 June 2013 / Accepted: 15 June 2013 / Published: 21 June 2013
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Abstract

Deriving the form of the optimal solution of a maximum entropy problem, we obtain an infinite family of linear inequalities characterizing the polytope of spin correlation matrices. For n ≤ 6, the facet description of such a polytope is provided through a minimal system of Bell-type inequalities.
Keywords: correlation matrix; spin system; maximum entropy; Bell’s inequalities; moment problem correlation matrix; spin system; maximum entropy; Bell’s inequalities; moment problem
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Dai Pra, P.; Pavon, M.; Sahasrabudhe, N. A Maximum Entropy Approach to the Realizability of Spin Correlation Matrices. Entropy 2013, 15, 2448-2463.

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