Introduction to Bell's inequality in Quantum Mechanics

TL;DR

This paper provides a pedagogical overview of Bell's inequality in Quantum Mechanics, illustrating key concepts with examples from spin, coherent, and squeezed states, and discussing generalizations to Mermin's inequalities and GHZ states.

Contribution

It offers a comprehensive educational introduction with worked examples and outlines of advanced generalizations in quantum entanglement tests.

Findings

Bell's inequality illustrated with spin, coherent, and squeezed states

Generalization to Mermin's inequalities and GHZ states outlined

Educational resource for understanding quantum entanglement tests

Abstract

A pedagogical introduction to Bell's inequality in Quantum Mechanics is presented. Several examples, ranging from spin $1/2$ to coherent and squeezed states are worked out. The generalization to Mermin's inequalities and to GHZ states is also outlined.