Test of the no-signaling principle in the Hensen "loophole-free CHSH experiment"

Abstract

We analyze the data from the loophole-free CHSH experiment performed by Hensen et al., and show that it is actually not exempt of an important loophole. By increasing the size of the sample of event-ready detections, one can exhibit in the experimental data a violation of the no-signaling principle with a statistical significance at least similar to that of the reported violation of the CHSH inequality, if not stronger.Comment: This version was updated on the basis of our talk at the conference "Quantum and Beyond", V\"axj\"o, Sweden, June 2016, and a few emails received from the readers of the first version of this arXiv, we improved statistical analysis and clarified essentially our poin