The relation between nonlocality and contextuality for a biphoton
Quantum Physics
2013-02-27 v3
Abstract
We investigate the set of qutrit states in terms of symmetric states of two qubits that violate the minimal contextual inequality, namely the Klyachko-Can-Binicoglu-Shumovsky (KCBS) inequality. The physical system that provides a natural framework for this problem is a biphoton which consists of two photons in the same spatio-temporal mode and whose effective polarization behaves as a three-level quantum system. The relationship between the KCBS contextual inequality and the Clauser-Horne-Shimony-Holt (CHSH) inequality is investigated. We find that every biphotonic state that is contextual with respect to KCBS is nonlocal as per the CHSH test when the two photons are apart, but the converse is not true.
Keywords
Cite
@article{arxiv.1207.1952,
title = {The relation between nonlocality and contextuality for a biphoton},
author = {Akihito Soeda and Pawel Kurzynski and Ravishankar Ramanathan and Kavan Modi and Dagomir Kaszlikowski},
journal= {arXiv preprint arXiv:1207.1952},
year = {2013}
}
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