Quantifying genuine multipartite correlations and their pattern complexity

Girolami, Davide and Tufarelli, Tommaso and Susa, Cristian E. (2017) Quantifying genuine multipartite correlations and their pattern complexity. Physical Review Letters, 119 (14). 140505/1-140505/6. ISSN 1079-7114

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Abstract

We propose an information-theoretic framework to quantify multipartite correlations in classical and quantum systems, answering questions such as: what is the amount of seven-partite correlations in a given state of ten particles? We identify measures of genuine multipartite correlations, i.e. statistical dependencies which cannot be ascribed to bipartite correlations, satisfying a set of desirable properties. Inspired by ideas developed in complexity science, we then introduce the concept of weaving to classify states which display different correlation patterns, but cannot be distinguished by correlation measures. The weaving of a state is defined as the weighted sum of correlations of every order. Weaving measures are good descriptors of the complexity of correlation structures in multipartite systems.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1103/PhysRevLett.119.140505
Depositing User: Tufarelli, Tommaso
Date Deposited: 28 Sep 2017 11:32
Last Modified: 12 Oct 2017 23:54
URI: http://eprints.nottingham.ac.uk/id/eprint/43829

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