It has always been obvious to me that consciousness is something that sits outside the computational realm because if it wasn’t, you would end up with self-contradictions, much like Gödel's incompleteness theorems. Intuitively, this would be related to quantum mechanics, as this is a part of physics which does not seem to be fully computational (ie. have things which we can only describe as random).<p>The problem with using quantum computing to explore this is that quantum computers, as they are now, use quantum phenomena that can be fully modelled computationally.