Why "classical" computers? Is there some other kind of computer that isn't emulatable in wood that could become conscious? Hard to know exactly what you mean here.
They're referring to quantum computers, because for some reason a lot of people seem to be convinced that 1) consciousness is made out of magic and 2) quantum physics is magic so therefore 3) "consciousness" requires "quantum"
I don't know what could become conscious; but it seems pretty obvious to me some sticks banging together cannot be.