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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 · ORCID
classification hep-thquant-ph
keywords monotonicityconjectureentanglementmeasurescallcheckclasscoarse-graining
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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 7 Pith papers

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

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    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.

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    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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    A new 'genuine multi-entropy' separates true q-party entanglement from lower-party pieces, and holographic systems are shown to carry O(1/G_N) genuine multipartite entanglement for connected regions.

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    L-entropy is a proposed genuine multipartite entanglement measure, maximal for GHZ states and 2-uniform states, with applications to random states and multiboundary wormholes.

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