Bell inequalities: many questions, a few answers

TL;DR

This paper reviews key open questions about Bell inequalities, introduces new families of inequalities for binary outcomes, and discusses their significance in understanding quantum nonlocality and its experimental and resource-based aspects.

Contribution

It provides a comprehensive list of open questions, categorizes them, and introduces novel Bell inequalities for binary outcomes, advancing the study of quantum nonlocality.

Findings

New families of Bell inequalities for binary outcomes

Organized open questions into fundamental, experimental, and resource categories

Enhanced understanding of nonlocality's role in quantum physics

Abstract

What can be more fascinating than {\it experimental metaphysics}, to quote one of Abner Shimony's enlightening expressions? Bell inequalities are at the heart of the study of nonlocality. I present a list of open questions, organised in three categories: fundamental; linked to experiments; and exploring nonlocality as a resource. New families of inequalities for binary outcomes are presented.