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...

Examples involving contextuality (e.g. Bell-Kochen-Specker) are analyzed and post-selection is shown to allow definite assignment of values to observ-ables in a new way. A physical reason is presented for restrictions on these assignments. Finally, it is shown that if measurements are performed which do not disturb the pre-and post-selection (i.e. weak-measurements), then a new experimental asp...

Contextuality, the impossibility of assigning a single random variable to represent the outcomes of the same measurement procedure under different experimental conditions, is a central aspect of quantum mechanics. Thus defined, it appears in well-known cases in quantum mechanics, such as the double-slit experiment, the Bell-EPR experiment, and the Kochen-Specker theorem. Here we examine context...

We prove Kontsevich’s cyclic formality conjecture.