https://en.wikipedia.org/wiki/PBR_theorem "The theorem was first published as an arXiv preprint with Pusey as the principal author, a subsequent version published in Nature Physics, that states the theorem that either the quantum state corresponds to a physically real object and is not merely a statistical tool, or else all quantum states, including non-entangled ones, can communicate by action at a distance." This is very fantastic claim. Since many believe quantum state is just statistical tool. Does it mean all quantum states, including non-entangled ones, can communicate by action at a distance? This can be easily proved or disproved. Since it seemed it couldn't, then the claim at Wikipedia appears not to be correct. Hope someone can edit it to give the right context. Thank you.