Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-commutative measure of quantum correlations under local operations   We study some desirable properties of recently introduced measures of quantum
correlations based on the amount of non-commutativity quantified by the
Hilbert-Schmidt norm (Sci Rep 6:25241, 2016, and Quantum Inf. Process. 16:226,
2017). Specifically, we show that: 1) for any bipartite ($A+B$) state, the
measures of quantum correlations with respect to subsystem $A$ are
non-increasing under any Local Commutative Preserving Operation on subsystem
$A$, and 2) for Bell diagonal states, the measures are non-increasing under
arbitrary local operations on $B$. Our results accentuate the potentialities of
such measures, and exhibit them as valid monotones in a resource theory of
quantum correlations with free operations restricted to the appropriate local
channels.

24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn