There is suggested a version of the experiment with a correlated pair of particles in the entangled state. The experiment demonstrates that, in the case of weak and/or non-demolition measurements of one of the particles, it is possible to transmit information with a speed not limited by velocity of light.
@article{arxiv.1606.08217,
title = {Weak measurements and supraluminal communication},
author = {A. V. Belinsky and A. K. Zhukovsky},
journal= {arXiv preprint arXiv:1606.08217},
year = {2016}
}