Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realism-based nonlocality: Invariance under local unitary operations and
  asymptotic decay for thermal correlated states   The realism-based nonlocality (RBN) is a recently introduced measure that
differs from the well-known Bell's nonlocality. For bipartite states, the RBN
concerns how much an element of reality associated with a given observable is
affected upon local measurements on a subsystem. Here, we present an analytical
proof for the unitary invariance of the RBN and that it presents a monotonous
behavior upon the action of unital and non-unital local quantum noise. We
illustrate our results by employing the two-qubits Werner state and thermal
quantum correlated states. We show how the RBN is limited by the initial
equilibrium temperature and, especially, that it decays asymptotically with it.
These results also corroborate the hierarchy relationship between the
quantifiers of RBN and global quantum discord, showing that RBN can capture
undetectable nonlocal aspects even for non-discordant states. Finally, we argue
how our results can be employed to use the RBN as a security tool in quantum
communication tasks.

6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph