  We explore non-classical correlations in n-cycle setting. In particular, we
focus on correlations manifested by Kochen-Specker-Klyachko box (KS box),
scenarios involving n-cycle non-contextuality inequalities and Popescu-Rohlrich
boxes (PR box). We provide the criteria for optimal classical simulation of a
KS box of arbitrary n dimension. The non-contextuality inequalities are
analysed for n-cycle setting, and the condition for the quantum violation for
odd as well as even n-cycle is discussed. We offer a simple extension of even
cycle non-contextuality inequalities to the continuous variable case.
Furthermore, we simulate a generalized PR box using KS box and provide some
interesting insights. Towards the end, we discuss a few possible interesting
open problems for future research.
