Two infinite families of facets of the holographic entropy cone
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913515241996288 |
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| author | Czech, Bartlomiej Liu, Yu Yu, Bo |
| author_facet | Czech, Bartlomiej Liu, Yu Yu, Bo |
| contents | We verify that the recently proven infinite families of holographic entropy inequalities are maximally tight, i.e. they are facets of the holographic entropy cone. The proof is technical but it offers some heuristic insight. On star graphs, both families of inequalities quantify how concentrated / spread information is with respect to a dihedral symmetry acting on subsystems. In addition, toric inequalities viewed in the K-basis show an interesting interplay between four-party and six-party perfect tensors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13029 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two infinite families of facets of the holographic entropy cone Czech, Bartlomiej Liu, Yu Yu, Bo High Energy Physics - Theory Quantum Physics We verify that the recently proven infinite families of holographic entropy inequalities are maximally tight, i.e. they are facets of the holographic entropy cone. The proof is technical but it offers some heuristic insight. On star graphs, both families of inequalities quantify how concentrated / spread information is with respect to a dihedral symmetry acting on subsystems. In addition, toric inequalities viewed in the K-basis show an interesting interplay between four-party and six-party perfect tensors. |
| title | Two infinite families of facets of the holographic entropy cone |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2401.13029 |