The Clauser-Horne-Shimony-Holt-type noncontextuality inequality and the Svetlichny inequality are derived from the Alicki-Van Ryn quantumness witness. Thus a connection between quantumness and quantum contextuality, and that between quantumness and genuine multipartite nonlocality, are established.
@article{arxiv.1512.01062,
title = {Connecting quantum contextuality and genuine multipartite nonlocality with the quantumness witness},
author = {Xu Chen and Hong-Yi Su and Jing-Ling Chen},
journal= {arXiv preprint arXiv:1512.01062},
year = {2016}
}