Many-qutrit Mermin inequalities with three measurement bases
Jay Lawrence · arXiv (Cornell University) · 2019
Mermin inequalities are derived for systems of three-state particles (qutrits) employing three local measurement bases. These establish perfect correlations which violate local realistic bounds more strongly than those previously reported with two bases. The quantum eigenvalue of the Mermin operator grows as the dimension of the Hilbert space, $3^N$, rather than $2^N$, as obtained with two measurement bases. Unexpectedly, the proof is simplified with three bases because of the increased rotational symmetry of the construction.