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Deriving the PEE proposal from the Locking bit thread configuration

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arxiv 2105.09176 v3 pith:ZOHHRAIJ submitted 2021-05-19 hep-th

classification hep-th
keywords lockingentanglementconfigurationthreadcomponentdualityewcsflow
verification ladder T0 review T1 audit T2 compute T3 formal
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In the holographic framework, we argue that the partial entanglement entropy (PEE) can be explicitly interpreted as the component flow flux in a locking bit thread configuration. By applying the locking theorem of bit threads, and constructing a concrete locking scheme, we obtain a set of uniquely determined component flow fluxes from this viewpoint, and successfully derive the PEE proposal and its generalized version in the multipartite cases. Moreover, from this perspective of bit threads, we also present a coherent explanation for the coincidence between the BPE (balanced partial entanglement)/EWCS (entanglement wedge cross section) duality proposed recently and the EoP (entanglement of purification)/EWCS duality. We also discuss the issues implied by this coincident between the idea of the PEE and the picture of locking thread configuration.

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Cited by 2 Pith papers

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

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

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    The paper proposes a kinematic space for any subregion of vacuum AdS, whose geodesic 'PEE threads' uniformly cover the subregion and yield tensor-network models that reproduce Ryu-Takayanagi entropy and realize surfac...

  2. The thread embodiment of holographic quantum entanglement

    hep-th 2025-01 conditional novelty 5.0 of 10

    Holographic entanglement is represented by geodesic threads whose fluxes equal half conditional mutual information, and kinematic space is treated as the input board of a quantum circuit that reproduces holographic co...

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