Quantumness of Product States
  Product states do not violate Bell inequalities. In this work, we investigate the quantumness of product states by violating a certain classical algebraic models. Thus even for product states, statistical predictions of quantum mechanics and classical theories do not agree. An experiment protocol is proposed to reveal the quantumness. 
Jing-Ling Chen, Hong-Yi Su, Chunfeng Wu, and C. H. Oh
quant-ph