Proposed experiment for testing quantum contextuality with neutrons

TL;DR

This paper proposes an experiment to demonstrate quantum contextuality using single neutrons, which could provide more conclusive evidence than previous experiments with ions or single neutrons based on Bell-like inequalities.

Contribution

It introduces a new experimental approach to test quantum contextuality with neutrons using a violation of a Peres-Mermin inequality.

Findings

Proposes a neutron-based experiment for quantum contextuality

Suggests this method is more conclusive than previous tests

Builds on the Kochen-Specker theorem and Peres-Mermin proof

Abstract

We show that an experimental demonstration of quantum contextuality using 2 degrees of freedom of single neutrons based on a violation of an inequality derived from the Peres-Mermin proof of the Kochen-Specker theorem would be more conclusive than those obtained from previous experiments involving pairs of ions [M. A. Rowe et al., Nature (London) 409, 791 (2001)] and single neutron [Y. Hasegawa et al., Nature (London) 425, 45 (2003)] based on violations of Clauser-Horne-Shimony-Holt-like inequalities.