Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimized Correlation Measures in Holography   We consider a class of correlation measures for quantum states called
optimized correlation measures, defined as a minimization of a linear
combination of von Neumann entropies over purifications of a given state.
Examples include the entanglement of purification $E_P$ and squashed
entanglement $E_{\text{sq}}$. We show that when evaluating such measures on
``nice" holographic states in the large-$N$ limit, the optimal purification has
a semi-classical geometric dual. We then apply this result to confirm several
holographic dual proposals, including the $n$-party squashed entanglement.
Moreover, our result suggests two new techniques for determining holographic
duals: holographic entropy inequalities and direct optimization of the dual
geometry.

23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys