Re: "By definition we couldn't"
Actually, there have been a few papers which claim to have found evidence for quantum activity within the brain (see for example http://www.kurzweilai.net/discovery-of-quantum-vibrations-in-microtubules-inside-brain-neurons-corroborates-controversial-20-year-old-theory-of-consciousness)
The brain is likely not a straightforward "machine" - of course that's not to say that we can't create the same thing with quantum computing etc...