Quantum non-locality

I've just finished reading the chapters on classical computers in John Gribbin's Quantum Cat's book, which is quite interesting in itself as it gave a good biography on Alan Turing and Johann Von Neuman. It would have been interesting had Turing lived a bit longer.  Now I am on the chapter to do with quantum mechanics/physics itself.  Some of the stuff here, I have already come across before except for quantum non-locality.  This is where the actions two quantum matter (electrons, light photons etc) can influence each other as if the two items had the ability to communicate to each other.  Even though the concepts are quite well presented by Gribbin I had to do some background research to fully understand it and it is absolutely fascinating.