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Holographic Entropy Inequalities and the Topology of Entanglement Wedge Nesting

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arxiv 2309.15145 v1 pith:J2RUCR6E submitted 2023-09-26 hep-th quant-ph

Bartlomiej Czech , Sirui Shuai , Yixu Wang , Daiming Zhang This is my paper · ORCID
classification hep-thquant-ph
keywords inequalitiesentropyholographicentanglementnestingprovewedgearrangement
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Holographic Multi-Entropy Cone

    hep-th 2026-06 accept novelty 7.0 of 10

    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.

  2. Combinatorial aspects of holographic quantum secret sharing

    hep-th 2026-07 conditional novelty 6.0 of 10

    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.

  3. Holographic Entropy Cone Beyond AdS/CFT

    hep-th 2025-02 conditional novelty 6.0 of 10

    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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