Today, there are two thought against quantum brain, one is, that only recently we have seen that machines can outperform the human mind in learning processes involving intuition (AlphaGo byDeepMind against the GO world champion). Artificial intelligence is advancing in every aspect of modern life and it is based on classical computing.
The other is that the brain in a hot and wet place where quantum coherence can't survive long enough to be used in brain processing \cite{Tegmark_2000}.