Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tests for quantum contextuality in terms of $q$-entropies   The information-theoretic approach to Bell's theorem is developed with use of
the conditional $q$-entropies. The $q$-entropic measures fulfill many similar
properties to the standard Shannon entropy. In general, both the locality and
noncontextuality notions are usually treated with use of the so-called marginal
scenarios. These hypotheses lead to the existence of a joint probability
distribution, which marginalizes to all particular ones. Assuming the existence
of such a joint probability distribution, we derive the family of inequalities
of Bell's type in terms of conditional $q$-entropies for all $q\geq1$. Quantum
violations of the new inequalities are exemplified within the
Clauser-Horne-Shimony-Holt (CHSH) and Klyachko-Can-Binicio\v{g}lu-Shumovsky
(KCBS) scenarios. An extension to the case of $n$-cycle scenario is briefly
mentioned. The new inequalities with conditional $q$-entropies allow to expand
a class of probability distributions, for which the nonlocality or
contextuality can be detected within entropic formulation. The $q$-entropic
inequalities can also be useful in analyzing cases with detection
inefficiencies. Using two models of such a kind, we consider some potential
advantages of the $q$-entropic formulation.

31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org