Symmetry-resolved relative entropy of random states
Abstract We use large-N diagrammatic techniques to calculate the relative entropy of symmetric random states drawn from the Wishart ensemble. These methods are specifically designed for symmetric sectors, allowing us to determine the relative entropy for random states exhibiting U(1) symmetry. This...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2025)090 |
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| author | Mostafa Ghasemi |
| author_facet | Mostafa Ghasemi |
| author_sort | Mostafa Ghasemi |
| collection | DOAJ |
| description | Abstract We use large-N diagrammatic techniques to calculate the relative entropy of symmetric random states drawn from the Wishart ensemble. These methods are specifically designed for symmetric sectors, allowing us to determine the relative entropy for random states exhibiting U(1) symmetry. This calculation serves as a measure of distinguishability within the symmetry sectors of random states. Our findings reveal that the symmetry-resolved relative entropy of random pure states displays universal statistical behavior. A remarkable finding is that relative entropies violate entanglement equipartition in the symmetry resolution for Haar-random states. Finally, we derive the symmetry-resolved Page curve. These results deepen our understanding of the properties of these random states. |
| format | Article |
| id | doaj-art-5a98c51bc2bd444da4bdf9fed0f868f0 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-5a98c51bc2bd444da4bdf9fed0f868f02025-08-20T03:09:34ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025411810.1007/JHEP04(2025)090Symmetry-resolved relative entropy of random statesMostafa Ghasemi0Research Center for High Energy Physics, Department of Physics, Sharif University of TechnologyAbstract We use large-N diagrammatic techniques to calculate the relative entropy of symmetric random states drawn from the Wishart ensemble. These methods are specifically designed for symmetric sectors, allowing us to determine the relative entropy for random states exhibiting U(1) symmetry. This calculation serves as a measure of distinguishability within the symmetry sectors of random states. Our findings reveal that the symmetry-resolved relative entropy of random pure states displays universal statistical behavior. A remarkable finding is that relative entropies violate entanglement equipartition in the symmetry resolution for Haar-random states. Finally, we derive the symmetry-resolved Page curve. These results deepen our understanding of the properties of these random states.https://doi.org/10.1007/JHEP04(2025)090Global SymmetriesMatrix ModelsRandom Systems |
| spellingShingle | Mostafa Ghasemi Symmetry-resolved relative entropy of random states Journal of High Energy Physics Global Symmetries Matrix Models Random Systems |
| title | Symmetry-resolved relative entropy of random states |
| title_full | Symmetry-resolved relative entropy of random states |
| title_fullStr | Symmetry-resolved relative entropy of random states |
| title_full_unstemmed | Symmetry-resolved relative entropy of random states |
| title_short | Symmetry-resolved relative entropy of random states |
| title_sort | symmetry resolved relative entropy of random states |
| topic | Global Symmetries Matrix Models Random Systems |
| url | https://doi.org/10.1007/JHEP04(2025)090 |
| work_keys_str_mv | AT mostafaghasemi symmetryresolvedrelativeentropyofrandomstates |