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Squashed Entanglement from Generalized Rindler Wedge

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arxiv 2310.09799 v3 pith:KKMOLP22 submitted 2023-10-15 hep-th

Xin-Xiang Ju , Bo-Hao Liu , Wen-Bin Pan , Ya-Wen Sun , Yuan-Tai Wang This is my paper · ORCID
classification hep-th
keywords entanglementmultipartitebipartitedualfieldgeneralizedgravityquantum
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We investigate the bipartite and multipartite quantum entanglement structure in gravity and the dual holographic field theory based on the generalized Rindler wedge formalism. We deduce a separation theorem, which asserts that for subregions satisfying a certain geometric condition, the bipartite/multipartite squashed entanglement or the conditional entanglement of multipartite information vanishes, indicating that these subregions represent separable states with no quantum entanglement among them. We interpret this fact from the observer perspective in gravity and show how to probe the entanglement structure further in this framework by introducing a time cutoff in the gravitational spacetime. We also present the corresponding dual boundary field theory interpretation.

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Cited by 4 Pith papers

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

  1. More on the upper bound of holographic n-partite information

    hep-th 2024-11 conditional novelty 7.0 of 10

    The upper bound of holographic conditional mutual information equals twice the entanglement of state-constrained purification and diverges in the many-interval limit, revealing abundant multipartite entanglement.

  2. Upper bound of holographic entanglement entropy combinations

    hep-th 2025-05 conditional novelty 6.0 of 10

    The authors derive upper bounds for large families of holographic entanglement entropy combinations by fixing the connectivity of entanglement wedges and classifying gap regions.

  3. Modular Hamiltonian of holographic time band states

    hep-th 2025-04 conditional novelty 6.0 of 10

    Local modular Hamiltonians are constructed for holographic time band states in AdS3/CFT2; they take the form of an integral of the stress tensor with a weight given by the upper envelope of causal diamond temperatures.

  4. Crossed products and quantum reference frames: on the observer-dependence of gravitational entropy

    hep-th 2024-12 accept novelty 6.0 of 10

    Gravitational subregion entropy is observer-dependent: different quantum clocks produce different von Neumann algebras and different entropy functionals for the same global state.

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