Mermin's pentagram and Bell's theorem

TL;DR

This paper demonstrates how a proof of the Bell-Kochen-Specker theorem can be experimentally realized using Mermin's proof, and shows that such experiments can also provide an inequality-free test of Bell's theorem with six qubits.

Contribution

It introduces a measurement scheme based on Mermin's proof to realize the BKS theorem experimentally and connects it to an inequality-free Bell test with entangled six-qubit states.

Findings

Experimental realization of BKS theorem proof using Mermin's scheme

Proposes an inequality-free Bell test with two distant observers

Shows the connection between BKS proof and Bell's theorem demonstration

Abstract

It is shown how a proof of the Bell-Kochen-Specker (BKS) theorem given by Kernaghan and Peres can be experimentally realized using a scheme of measurements derived from a related proof of the same theorem by Mermin. It is also pointed out that if this BKS experiment is carried out independently by two distant observers who repeatedly make measurements on a specially correlated state of six qubits, it provides an inequality-free demonstration of Bell's theorem as well.