Quantifying genuine multipartite correlations and their pattern complexity
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. stati...
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| Format: | Article |
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American Physical Society
2017
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| Online Access: | https://eprints.nottingham.ac.uk/43829/ |
| _version_ | 1848796776923922432 |
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| author | Girolami, Davide Tufarelli, Tommaso Susa, Cristian E. |
| author_facet | Girolami, Davide Tufarelli, Tommaso Susa, Cristian E. |
| author_sort | Girolami, Davide |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:53:22Z |
| format | Article |
| id | nottingham-43829 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:53:22Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-438292020-05-04T19:10:39Z https://eprints.nottingham.ac.uk/43829/ Quantifying genuine multipartite correlations and their pattern complexity Girolami, Davide Tufarelli, Tommaso Susa, Cristian E. 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. American Physical Society 2017-10-05 Article PeerReviewed Girolami, Davide, 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 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.140505 doi:10.1103/PhysRevLett.119.140505 doi:10.1103/PhysRevLett.119.140505 |
| spellingShingle | Girolami, Davide Tufarelli, Tommaso Susa, Cristian E. Quantifying genuine multipartite correlations and their pattern complexity |
| title | Quantifying genuine multipartite correlations and their pattern complexity |
| title_full | Quantifying genuine multipartite correlations and their pattern complexity |
| title_fullStr | Quantifying genuine multipartite correlations and their pattern complexity |
| title_full_unstemmed | Quantifying genuine multipartite correlations and their pattern complexity |
| title_short | Quantifying genuine multipartite correlations and their pattern complexity |
| title_sort | quantifying genuine multipartite correlations and their pattern complexity |
| url | https://eprints.nottingham.ac.uk/43829/ https://eprints.nottingham.ac.uk/43829/ https://eprints.nottingham.ac.uk/43829/ |