Bell-CHSH non-locality and entanglement from a unified framework

Abstract

Non-classical probability is a defining feature of quantum mechanics. This paper develops a formalism that exhibits explicitly, the manner in which rules of classical probability break down in the quantum domain. Thereby, a framework is set up which allows for construction of signatures for non-classicality of states in a systematic manner. Using this, conditions for non-locality and entanglement are shown to emerge from a break down of classical probability rules. Bell-CHSH non-locality is derived for any bipartite systems and entanglement inequalities are obtained for coupled two level systems only.