A maximum entropy approach to the realizability of Spin correlation matrices

Paolo Dai Pra; Michele Pavon; Neeraja Sahasrabudhe

doi:10.3390/e15062448

A maximum entropy approach to the realizability of Spin correlation matrices

Paolo Dai Pra, Michele Pavon, Neeraja Sahasrabudhe

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	2448-2463
Number of pages	16
Journal	Entropy
Volume	15
Issue number	6
DOIs	https://doi.org/10.3390/e15062448
State	Published - Jun 2013

Keywords

Bell's inequalities
Correlation matrix
Maximum entropy
Moment problem
Spin system

ASJC Scopus subject areas

Information Systems
Mathematical Physics
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Electrical and Electronic Engineering

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10.3390/e15062448

Cite this

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title = "A maximum entropy approach to the realizability of Spin correlation matrices",

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 = "Bell's inequalities, Correlation matrix, Maximum entropy, Moment problem, Spin system",

author = "Pra, {Paolo Dai} and Michele Pavon and Neeraja Sahasrabudhe",

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AU - Pavon, Michele

AU - Sahasrabudhe, Neeraja

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KW - Correlation matrix

KW - Maximum entropy

KW - Moment problem

KW - Spin system

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A maximum entropy approach to the realizability of Spin correlation matrices

Abstract

Keywords

ASJC Scopus subject areas

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