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- Title
Towards a bit threads derivation of holographic entanglement of purification.
- Authors
Bao, Ning; Chatwin-Davies, Aidan; Pollack, Jason; Remmen, Grant N.
- Abstract
We apply the bit thread formulation of holographic entanglement entropy to reduced states describing only the geometry contained within an entanglement wedge. We argue that a certain optimized bit thread configuration, which we construct, gives a purification of the reduced state to a full holographic state obeying a precise set of conditional mutual information relations. When this purification exists, we establish, under certain assumptions, the conjectured EP = EW relation equating the entanglement of purification with the area of the minimal cross section partitioning the bulk entanglement wedge. Along the way, we comment on minimal purifications of holographic states, geometric purifications, and black hole geometries.
- Subjects
BLACK holes; ENTROPY
- Publication
Journal of High Energy Physics, 2019, Vol 2019, Issue 7, pN.PAG
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP07(2019)152