Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interrelation of nonclassicality conditions through stabiliser group
  homomorphism   In this paper, we show that coherence witness for a single qubit itself
yields conditions for nonlocality and entanglement inequalities for multiqubit
systems. It also yields a condition for quantum discord in two--qubit systems.
It is shown by employing homomorphism among the stabiliser group of a single
qubit and those of multi--qubit states. Interestingly, globally commuting
homomorphic images of single qubit stabilisers do not allow for consistent
assignments of outcomes of local observables. As an application, we show that
CHSH inequality can be straightforwardly generalised to nonlocality
inequalities for multiqubit GHZ states. It also reconfirms the fact that
quantumness prevails even in the large $N$--limit, if coherence is sustained.
The mapping provides a way to construct many nonlocality inequalities, given a
{\it seed} inequality. This study gives us a motivation to gain a better
control over multiple degrees of freedom and multi-party systems. It is because
in multi-party systems, the same nonclassical feature, {\it viz.}, coherence
may appear in many avatars.

16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga