Model-free inequality for data of Einstein-Podolsky-Rosen-Bohm experiments

TL;DR

This paper introduces a new model-free inequality for EPR-Bohm experiment data, extending Bell-CHSH inequalities, and shows violations imply data cannot be reshuffled into quadruples, offering fresh insights into quantum correlations.

Contribution

The paper develops a novel, model-free inequality for EPR-Bohm data that generalizes Bell-CHSH inequalities and provides new interpretation of their violations.

Findings

New model-free inequality for EPR-Bohm data

Violations imply data cannot be reshuffled into quadruples

Extends Bell-CHSH inequality to a broader context

Abstract

We present a new inequality constraining correlations obtained when performing Einstein-Podolsky-Rosen-Bohm experiments. The proof does not rely on mathematical models that are imagined to have produced the data and is therefore ``model-free''. The new inequality contains the model-free version of the well-known Bell-CHSH inequality as a special case. A violation of the latter implies that not all the data pairs in four data sets can be reshuffled to create quadruples. This conclusion provides a new perspective on the implications of the violation of Bell-type inequalities by experimental data.