Class of Bell-Clauser-Horne inequalities for testing quantum nonlocality

TL;DR

This paper introduces new methods for deriving Bell-CH inequalities, enabling the testing of quantum nonlocality through violations in entangled states, thus advancing quantum foundational research.

Contribution

The paper presents effective methods for rearranging and linearizing Bell-CH inequalities, leading to a new set of inequalities that can be violated by quantum entangled states.

Findings

Derived a large set of Bell-CH inequalities using new methods

Identified inequalities that can be violated by quantum entangled states

Enhanced tools for testing quantum nonlocality

Abstract

Quantum nonlocality, one of the most important features of quantum mechanics, is normally connected in experiments with the violation of Bell-Clauser-Horne (Bell-CH) inequalities. We propose effective methods for the rearrangement and linear inequality to prove a large variety of Bell-CH inequalities. We also derive a set of Bell-CH inequalities by using these methods which can be violated in some quantum entangled states.