I just recently read the journal article (below) about the Orchestrated Objective Reduction theory put forth by Roger Penrose and Stuart Hammeroff.
According to this theory, the phenomenon of 'understanding' is the result of a non-computable process, e.g. standard silicon-chip computers cannot 'understand' like humans can because they cannot compute non-computable elements. The idea that human beings have the ability to 'understand' suggests that we are able to compute and take advantage of the results of these non-computable processes, and Penrose & Hammeroff seem to believe that quantum mechanics is behind this.
Ultimately, I don't understand how quantum mechanics can allow for the computation of these non-computable elements.
Penrose & Hammeroff: http://www.sciencedirect.com/science/article/pii/S1571064513001188