Niels Bohr, one of the founding fathers of quantum physics, suspected that it could provide insights into human psychology. Now a new field called quantum cognition is exploring how quantum math can explain some seemingly irrational human behavior. See: Quantum math makes human irrationality more sensible
Quantum cognition community states that the activity of such neural networks can produce effects which are formally described as interference (of probabilities) and entanglement. In principle, the community does not try to create the concrete models of quantum (-like) representation of information in the brainI would take note of ,"in the brain."