Here’s a talk about quantum information, quantum computing and the brain by Scott Aaronson from the Department of Electrical Engineering and Computer Science at MIT.
Ever since quantum mechanics was discovered nearly a century ago, famous scientists from Eddington to Wigner to Compton to Eccles to Penrose have speculated about possible connections to the brain — a quest often parodied by using the famous quote: “quantum mechanics is mysterious, the brain is mysterious, ergo they must be related somehow”. And it’s doesn’t seem such a crazy if you think about the major difficulties that concepts such as free will face when described using any form of classical physics. Unfortunately, most of the modern theories trying to relate quantum mechanics and computing to brain science are facing difficulties. Still, as Aaronson puts it, the role of quantum mechanics in cognition is not yet excluded.