dorsal/arxiv
View SchemaHolographic entropy inequalities pass the majorization test
| Authors | Bartlomiej Czech, Yichen Feng, Xianlai Wu, Minjun Xie |
|---|---|
| Categories | |
| ArXiv ID | 2601.09989vv1 |
| URL | https://arxiv.org/abs/2601.09989 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
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 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.
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"abstract": "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 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.",
"arxiv_id": "2601.09989",
"authors": [
"Bartlomiej Czech",
"Yichen Feng",
"Xianlai Wu",
"Minjun Xie"
],
"categories": [
"hep-th",
"quant-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Holographic entropy inequalities pass the majorization test",
"url": "https://arxiv.org/abs/2601.09989",
"version": "v1"
},
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