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Holographic Entanglement Distillation from the Surface State Correspondence

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arxiv 2311.07649 v2 pith:6NKN6KF4 submitted 2023-11-13 hep-th quant-ph

Holographic Entanglement Distillation from the Surface State Correspondence

classification hep-th quant-ph
keywords entanglementsubfactorscorrespondencedistillationinformationmutualsurfaceable
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study correlations between geometric subfactors living on the Ryu-Takayanagi surface that bounds the entanglement wedge. Using the surface-state correspondence and the bit threads program, we are able to calculate mutual information and conditional mutual information between subfactors. This enables us to count the shared Bell pairs between subfactors, and we propose an entanglement distillation procedure over these subsystems via a SWAP gate protocol. We comment on extending to multipartite entanglement.

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Cited by 3 Pith papers

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

  1. Phase transitions and uberholography of holographic pure-state geometries

    hep-th 2026-07 conditional novelty 6.0

    A cross-ratio threshold relation η'/η = e^{ΔH/2} governs entanglement-wedge phase transitions on pure-state holographic geometries, and uberholography's fractal dimension α ≈ 0.786 persists on asymptotic boundaries bu...

  2. Holography and Kinematic Space for Gravitational Sub-regions in AdS

    hep-th 2026-06 unverdicted novelty 5.0

    Extends kinematic space and PEE threads to subregions in AdS and builds tensor networks on them realizing surface-state correspondence for gravitational subregions.

  3. Rethinking quantum information in gravity and fields

    hep-th 2026-06 unverdicted novelty 2.0

    The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.