On Possibilistic Conditions to Contextuality and Nonlocality

Abstract

Contextuality and non-locality are non-classical properties exhibited by quantum statistics whose implications have profound impact on the foundations and applications of quantum theory. In this paper we provide some insights into what is called logical contextuality, which is, in a sense, a possibilistic version of contextuality. In particular, we demonstrate that the occurrence of a certain set of possibilistic conditions, which we call a Hardy paradox, is necessary and sufficient for logical contextuality.