Beyond Bell's theorem: Admissible hidden-variable models for the spin-singlet

TL;DR

This paper characterizes all hidden-variable models compatible with quantum mechanics for the spin-singlet, assuming free will and locality, extending beyond Bell's theorem constraints.

Contribution

It derives the complete form of hidden-variable models that reproduce the spin-singlet under specific assumptions, broadening understanding of quantum correlations.

Findings

Identifies all hidden-variable models consistent with quantum predictions for spin-singlet.

Shows that models obeying free will and locality can reproduce quantum correlations.

Provides a comprehensive classification of admissible hidden-variable theories.

Abstract

Assuming that quantum mechanics is obeyed exactly after averaging over hidden variables, and considering models that obey both the hypotheses of free will and locality, we establish the form of all possible hidden-variable models that reproduce the spin-singlet.