Regular Article

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

Department of Physics, Indian Institute of Technology Delhi, New Delhi 110016, India

^a e-mail: soumikadhikary@physics.iitd.ac.in

Received: 15 October 2019
Received in final form: 10 February 2020
Published online: 9 April 2020

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.