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Monotonicity conjecture for multi-party entanglement I

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arxiv 2308.16247 v1 pith:IAJ6RNB5 submitted 2023-08-30 hep-th quant-ph

Abhijit Gadde , Shraiyance Jain , Vineeth Krishna , Harshal Kulkarni , Trakshu Sharma This is my paper
classification hep-thquant-ph
keywords monotonicityconjectureentanglementmeasurescallcheckclasscoarse-graining
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper, we conjecture a monotonicity property that we call monotonicity under coarse-graining for a class of multi-partite entanglement measures. We check these properties by computing the measures for various types of states using different methods.

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Cited by 9 Pith papers

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  3. From Multipartite Entanglement to TQFT

    hep-th 2026-02 conditional novelty 7.0 of 10

    Genuine multipartite entanglement of a gapped ground state is conjectured and, for Levin-Wen models, shown to reproduce the TQFT partition function on any 3-manifold.

  4. The Entanglement Wedge Polygon

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    The paper defines the entanglement wedge polygon as the intersection of entanglement wedges external to individual homology regions and studies its topological and geometric properties in AdS examples.

  5. Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$

    hep-th 2025-12 conditional novelty 6.0 of 10

    In pure BTZ black-hole states the genuine tripartite multi-entropy grows linearly with subsystem size at high temperature (volume law), peaks at (1/6) of the Bekenstein-Hawking entropy plus a universal constant, and c...

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    Authors derive genuine multientropy for Lifshitz states as mutual information plus negativity, obtain its non-integer Rényi continuation, and prove dihedral invariants equal Rényi reflected entropies for general tripa...

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  8. The Junction Law for Multipartite Entanglement in Confining Holographic Backgrounds

    hep-th 2026-04 unverdicted novelty 5.0 of 10

    The junction law for multipartite entanglement persists in confining holographic backgrounds, but phase structure and GM short-distance scaling (L^{-4}, L^{-2}, or L^{-2}(log L)^2) are background-dependent.

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