Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The connection between holographic entanglement and complexity of
  purification   In this work we study how entanglement of purification (EoP) and the new
quantity of "complexity of purification" are related to each other using the
$E_P=E_W$ conjecture. First, we consider two strips in the same side of a
boundary and study the relationships between the entanglement of purification
of this mixed state and the parameters of the system such as dimension,
temperature, length of the strips and the distance between them. Next, using
the same setup, we introduce two definitions for the complexity of mixed
states, complexity of purification (CoP) and the interval volume (VI). We study
their connections to other parameters similar to the EoP case. Then, we extend
our study to more general examples of BTZ black holes solution in massive
gravity, charged black holes and multipartite systems. Finally, we give various
interpretations of our results using resource theories such as LOCC and also
bit thread picture.

31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
2
The categories of this paper are: math