Local simulation of singlet statistics for restricted set of measurement

TL;DR

This paper demonstrates that for certain restricted measurement sets, local hidden variable models can reproduce the singlet state statistics, challenging the general impossibility suggested by Bell's theorem.

Contribution

It identifies specific measurement subsets where local models can simulate singlet statistics, providing new insights into quantum nonlocality.

Findings

Local hidden variable models can reproduce singlet statistics for certain measurement subsets.

The work delineates measurement conditions allowing local simulation.

It offers a nuanced view of Bell's theorem limitations.

Abstract

The essence of Bell's theorem is that, in general, quantum statistics cannot be reproduced by local hidden variable (LHV) model. This impossibility is strongly manifested while analyzing the singlet state statistics for Bell-CHSH violations. In this work, we provide various subsets of two outcome POVMs for which a local hidden variable model can be constructed for singlet state.