Quantum state-independent contextuality requires 13 rays
Quantum Physics
2016-09-12 v2
Abstract
We show that, regardless of the dimension of the Hilbert space, there exists no set of rays revealing state-independent contextuality with less than 13 rays. This implies that the set proposed by Yu and Oh in dimension three [Phys. Rev. Lett. 108, 030402 (2012)] is actually the minimal set in quantum theory. This contrasts with the case of Kochen-Specker sets, where the smallest set occurs in dimension four.
Cite
@article{arxiv.1606.01848,
title = {Quantum state-independent contextuality requires 13 rays},
author = {Adán Cabello and Matthias Kleinmann and José R. Portillo},
journal= {arXiv preprint arXiv:1606.01848},
year = {2016}
}
Comments
8 pages, 2 tables, 1 figure, v2: minor changes