Quantum contextuality supports quantum computation and communication. One of its main vehicles is hypergraphs. The most elaborated are the Kochen-Specker ones, but there also another class contextual sets that not this kind. Their representation has been mostly operator-based limited to special constructs in three- six-dim spaces, a notable example which Yu-Oh set. Previously, we showed hypergr...

We introduce a general method which converts, in unified way, any form of quantum contextuality, including state-dependent into violation bipartite Bell inequality. As an example, we apply the to Klyachko-Can-Binicio\u{g}lu-Shumovsky

Abstract An ontological model is termed as maximally ψ -epistemic if the overlap between any two quantum states fully accounted for by of their respective probability distributions ontic states. However, in literature, there exist different mathematical definitions (termed here 1M E and 2M E) that capture equivalent notion maximal -epistemicity. In this work, we provide three theorems to critic...

We present a general framework for contextuality tests in phase space using displacement operators. First, we derive a general condition that a single-mode displacement operator should fulfill in order to construct Peres-Mermin square and similar scenarios. This approach offers a straightforward scheme for experimental implementations of the tests via modular variable measurements. In addition ...

By analyzing the concept of contextuality (e.g. Bell-Kochen-Specker) in light of post-selection, it is possible to assign definite values to observables in a new and surprising way. We present physical reasons for restrictions on these assignments. In addition, we show that when measurements are performed which do not disturb the pre-and post-selection (i.e. weak-measurements), then novel exper...