Journal
PHYSICAL REVIEW LETTERS
Volume 119, Issue 14, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.140505
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Funding
- UK Engineering and Research Council [EP/L01405X/1]
- Wolfson College, University of Oxford
- Foundational Questions Institute, Physics of the Observer Programme [FQXi-RFP-1601]
- Colciencias
- EPSRC [EP/L01405X/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/L01405X/1] Funding Source: researchfish
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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 that 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 that 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.
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