I'm basically pro quantum-brain (being honest about my bias here) but am fairly pessimistic about our ability to actually detect such processes in the brain. It's such an interesting question though, and this is what motivated me to do a PhD in quantum information theory. Our ability to detect entanglement is at the moment extremely rudimentary. It appears that detecting entanglement is about as difficult as creating entanglement, and we suck at this also. Most of the proposals for quantum computing require vast amounts of entanglement, and in such a way that any observation of a small sub-part of the system cannot detect the encoded information. So, we may need a quantum computer to be able to detect a quantum computer.
Well, save some immense breakthrough, we won't detect anything, that's for sure. That's why it's so important to live, work, educate in a sustainable fashion ;) . Let's face it, we don't know a whole lot about anything. Thankfully, many people are taking up the challenge. Sadly, many, many more just don't get it. Sorry for this rant, it's late.
