Experimental test of quantum contextuality in neutron interferometry
H. Bartosik, J. Klepp, C. Schmitzer, S. Sponar, A. Cabello, H. Rauch,, and Y. Hasegawa

TL;DR
This paper reports an experimental test of quantum contextuality using neutron interferometry, demonstrating violation of noncontextual hidden variable theories through measured expectation values.
Contribution
It provides the first experimental verification of quantum contextuality in a neutron system using a Bell-like state and an inequality derived from the Peres-Mermin proof.
Findings
Violation of the inequality observed with a value of 2.291 +/- 0.008
Quantum predictions cannot be explained by noncontextual hidden variables
Experimental confirmation of quantum contextuality in neutron interferometry
Abstract
We performed an experimental test of the Kochen-Specker theorem based on an inequality derived from the Peres-Mermin proof, using spin-path (momentum) entanglement in a single neutron system. Following the strategy proposed by Cabello et al. [Phys. Rev. Lett. 100, 130404 (2008)], a Bell-like state was generated and three expectation values were determined. The observed violation 2.291 +/- 0.008 > 1 clearly shows that quantum mechanical predictions cannot be reproduced by noncontextual hidden variables theories.
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