There are theories [1] that part of the brain's function might work at the quantum level. If true, we probably won't be able to really understand what happens by measuring it this way...
The brain probably isn't a quantum computer, or else we'd be able to factor integers quickly in our heads.
According to philosopher Paavo Pylkkänen, Bohm's suggestion of the quantum mind "leads naturally to the assumption that the physical correlate of the logical thinking process is at the classically describable level of the brain, while the basic thinking process is at the quantum-theoretically describable level". [1]
Factoring integers is a logic operation (thus not performed at the quantum level). But an operation like identifying an object or a smell (as it is what the article here is about) could be performed at a more deep level using quantum mechanics.