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Holographic Entropy Inequalities and the Topology of Entanglement Wedge Nesting
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We prove two new infinite families of holographic entropy inequalities. A key tool is a graphical arrangement of terms of inequalities, which is based on entanglement wedge nesting (EWN). It associates the inequalities with tessellations of the torus and the projective plane, which reflect a certain topological aspect of EWN. The inequalities prove a prior conjecture about the structure of the holographic entropy cone and show an interesting interplay with differential entropy.
Forward citations
Cited by 4 Pith papers
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On the completeness of contraction map proof method for holographic entropy inequalities
Every valid linear holographic entropy inequality with integer coefficients has a contraction map, making the contraction-map proof method complete.
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Holographic multi-entropy vectors form a rational polyhedral cone; its n=3,4 facets yield seven fundamental multi-entropy inequality orbits, with ordinary HEC facets arising as convex combinations of HMEC facets.
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Combinatorial aspects of holographic quantum secret sharing
Bulk regions in AdS3/CFT2 get a holographic secret-sharing distance d and thresholds (r,s), with r = n - d + 1; pure states satisfy s = d - 1 while mixed states can satisfy s >= d.
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Holographic Entropy Cone Beyond AdS/CFT
All known holographic entropy cone inequalities hold for generalized entanglement wedges of bulk regions in any static spacetime, subject to a mutual independence condition.
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