Holographic entropy inequalities pass the majorization test
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866915783701954560 |
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| author | Czech, Bartlomiej Feng, Yichen Wu, Xianlai Xie, Minjun |
| author_facet | Czech, Bartlomiej Feng, Yichen Wu, Xianlai Xie, Minjun |
| contents | Quantities computed by minimal cuts, such as entanglement entropies achievable by the Ryu-Takayanagi proposal in the AdS/CFT correspondence, are constrained by linear inequalities. We prove a previously conjectured property of all such constraints: Any $k$ systems on the "greater-than" side of the inequality whose overlap is nonempty are subsumed in some $k$ systems on its "less-than" side (accounting for multiplicity). This finding adds evidence that the same inequalities also constrain the entropies under time-dependent conditions because it preempts a large class of potential counterexamples. We prove several other properties of holographic entropy inequalities and comment on their relation to quantum erasure correction and the Renormalization Group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09989 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Holographic entropy inequalities pass the majorization test Czech, Bartlomiej Feng, Yichen Wu, Xianlai Xie, Minjun High Energy Physics - Theory Quantum Physics Quantities computed by minimal cuts, such as entanglement entropies achievable by the Ryu-Takayanagi proposal in the AdS/CFT correspondence, are constrained by linear inequalities. We prove a previously conjectured property of all such constraints: Any $k$ systems on the "greater-than" side of the inequality whose overlap is nonempty are subsumed in some $k$ systems on its "less-than" side (accounting for multiplicity). This finding adds evidence that the same inequalities also constrain the entropies under time-dependent conditions because it preempts a large class of potential counterexamples. We prove several other properties of holographic entropy inequalities and comment on their relation to quantum erasure correction and the Renormalization Group. |
| title | Holographic entropy inequalities pass the majorization test |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2601.09989 |