Holographic entropy inequalities pass the majorization test

• URL: http://arxiv.org/abs/2601.09989v1
• Date: Thu, 15 Jan 2026 02:00:03 GMT
• Title: Holographic entropy inequalities pass the majorization test
• Authors: Bartlomiej Czech, Yichen Feng, Xianlai Wu, Minjun Xie,
• Abstract summary: We show that quantities computed by minimal cuts are constrained by linear inequalities.<n>This finding adds evidence that the same inequalities also constrain the entropies under time-dependent conditions.
• Score: 0.7568725564300122
• 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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