Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards a Bit Threads Derivation of Holographic Entanglement of
  Purification   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 $E_P = E_W$ 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.

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The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph