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.
Quantum effects or quantum computation? Technically our whole universe is a quantum effect, but most of it can't be regarded as doing information processing, and of the parts that do information processing, we don't yet know of any that are faster on account of quantum superpositions maintained against decoherence.
I'm not sure where the line would be drawn; I think it's possible that neurons are getting speedups by exploiting quantum effects. I don't think it's using it to solve problems that aren't in P.