Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement of Purification in Holographic Systems   The holographic entanglement of purification (EoP) in AdS$_{4}$ and AdS-RN
black hole backgrounds is studied. We develop an algorithm to compute the EoP
for bipartite configuration with infinitely long strips. The temperature
behavior of EoP is revealed for small, intermediate and large configurations:
EoP monotonically increases with the temperature for small configurations;
while for intermediate configurations, EoP is configuration-dependent; EoP
vanishes for large configurations. Our numerical results verify some important
inequalities of EoP, which we also prove geometrically in Poincar\'e
coordinate.

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The categories of this paper are: math
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an