The abstract makes it clear they argue "no":<p><i>We argue that computation via quantum mechanical processes is irrelevant to explaining how brains
produce thought, contrary to the ongoing speculations of many theorists. First, quantum effects do not
have the temporal properties required for neural information processing. Second, there are substantial
physical obstacles to any organic instantiation of quantum computation. Third, there is no psychological
evidence that such mental phenomena as consciousness and mathematical thinking require explanation
via quantum theory. We conclude that understanding brain function is unlikely to require quantum computation
or similar mechanisms.</i>