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Upper bound of holographic entanglement entropy combinations

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arxiv 2505.11059 v2 pith:PSOUL3DI submitted 2025-05-16 hep-th

classification hep-th
keywords bounduppercombinationsentanglemententropyholographicdifferentsubsystems
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this work, we develop a systematic formalism to evaluate the upper bound of a large family of holographic entanglement entropy combinations when fixing $n$ subsystems and fine-tuning one other subsystem. The upper bound configurations and values of these entropy combinations can be derived and classified. The upper bound of these entropy combinations reveals holographic $n+1$-partite entanglement that $n$ fixed subsystems participate in. In AdS$_3$/CFT$_2$, AdS$_4$/CFT$_3$, and even higher-dimensional holography, one can, in principle, find different formulas of upper bound values, reflecting the fundamental difference in entanglement structure in different dimensions.

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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. Holographic multipartite entanglement dynamics in AdS$_3$-Vaidya

    hep-th 2026-08 conditional novelty 6.0 of 10

    During a holographic global quench, multipartite entanglement's spatial range first expands then contracts, with higher-party entanglement relaxing later, while some tripartite signals persist or return to vacuum values.

  3. 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.

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