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

A Maximum Entropy Approach to the Realizability of Spin Correlation Matrices

Department of Mathematics, University of Padova, via Trieste 63, 35121 Padova, Italy
* Author to whom correspondence should be addressed.
Received: 26 February 2013; in revised form: 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

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MDPI and ACS Style

Dai Pra, P.; Pavon, M.; Sahasrabudhe, N. A Maximum Entropy Approach to the Realizability of Spin Correlation Matrices. Entropy 2013, 15, 2448-2463.

AMA Style

Dai Pra P, Pavon M, Sahasrabudhe N. A Maximum Entropy Approach to the Realizability of Spin Correlation Matrices. Entropy. 2013; 15(6):2448-2463.

Chicago/Turabian Style

Dai Pra, Paolo; Pavon, Michele; Sahasrabudhe, Neeraja. 2013. "A Maximum Entropy Approach to the Realizability of Spin Correlation Matrices." Entropy 15, no. 6: 2448-2463.

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