This is a very common idea. It is so common, in fact, that the only real way to not know why it is wrong is if you've never heard of entanglement or relativity before.
I personally find it a bit insulting to propose something like this, as it assumes all those physicists working on quantum physics and relativity over the last hundred years were too dumb to think of this. Yet they all go around saying FTL communication is impossible? To suggest such a thing, you'd have to think they were all very stupid or you'd have to not be thinking at all.