While writing my article "Could Robots Take All Our Jobs?: A Philosophical Perspective" I came across a lot of people who claim (roughly) that human intelligence isn't Turing computable. At one point this led me to tweet something to the effect of, "where are the sophisticated AI critics who claim the problem of AI is NP-complete?" But that was just me being whimsical; I was mostly not-serious.
A couple times, though, I've heard people suggest something to the effect that maybe we will need quantum computing to do human-level AI, though so far I've never heard this from an academic, only interested amateurs (though ones with some real computing knowledge). Who else here has encountered this? Does anyone know of any academics who adopt this point of view? Answers to the latter question especially could be valuable for doing article version 2.0.
Edit: This very brief query may have given the impression that I'm more sympathetic to the "AI requires QC" idea than I actually am; see my response to gwern below.
Alas so. IMO a solution to the phenomenal binding problem (cf. http://cdn.preterhuman.net/texts/body_and_health/Neurology/Binding.pdf) is critical to understanding the evolutionary success of organic robots over the past 540 million years - and why classical digital computers are (and will remain) insentient zombies, not unitary minds. This conjecture may be false; but it has the virtue of being testable. If / when our experimental apparatus allows probing the CNS at the sub-picosecond timescales above which Max Tegmark ("Why the brain is probably not a quantum computer") posits thermally-induced decoherence, then I think we'll get a huge surprise! I predict we'll find, not random psychotic "noise", but instead the formal, quantum-coherent physical shadows of the macroscopic bound phenomenal objects of everyday experience - computationally optimised by hundreds of millions years of evolution, i.e. a perfect structural match. (cf. http://consc.net/papers/combination.pdf) By contrast, critics of the quantum mind conjecture must presumably predict we'll find just "noise".
Your first link appears to be broken.
It seems possible that the OpenWorm project to emulate the brain of a C. Elegans flatworm on a classical computer may yield results prior to the advent of experimental techniques capable of " probing the CNS at ... sub-picosecond timescales." Would you consider a successful emulation of worm behavior evidence against the need for quantum effects in neuronal function, or would you declare it the worm equivalent of a P-Zombie?