Our brain is a quantum computer
No, it's not. There are no quantum computations occuring in the human brain. It's simply a neural net composed of neurons which are, essentially, Turing machines, I think? Computer scientists, help me out? Neurons have state, and they count, so that makes them automata of some kind, right?
Your theory may be fun, and informed by
Star Trek terminology, but it bears little if any resemblance to the findings of modern neuroscience. The good news is, the brain is even more interesting than your theory predicts. I suggest you do further reading on the subject.