Next Article in Journal
The Entropy of Co-Compact Open Covers
Previous Article in Journal
Effect of Prey Refuge on the Spatiotemporal Dynamics of a Modified Leslie-Gower Predator-Prey System with Holling Type III Schemes
Entropy 2013, 15(6), 2448-2463; doi:10.3390/e15062448
Article

A Maximum Entropy Approach to the Realizability of Spin Correlation Matrices

, *  and
Received: 26 February 2013; in revised form: 10 June 2013 / Accepted: 15 June 2013 / Published: 21 June 2013
Download PDF [287 KB, uploaded 21 June 2013]
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 which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Export to BibTeX |
EndNote


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.


Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert