Holographic entropy inequalities pass the majorization test
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 systems on the "greater-than" side of the inequality whose overlap is nonempty are subsumed in some 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.
Cite
@article{arxiv.2601.09989,
title = {Holographic entropy inequalities pass the majorization test},
author = {Bartlomiej Czech and Yichen Feng and Xianlai Wu and Minjun Xie},
journal= {arXiv preprint arXiv:2601.09989},
year = {2026}
}
Comments
v2: key wording in abstract fixed, added references, corrected typos