Just to warn potential readers: this article has nothing to do with quantum entanglement.  It's linkbait for the title, something that's not surprising coming from New Scientist.  Entanglement is used briefly as an analogy in the article, and not a very good one at that --- the interesting thing about quantum entanglement is that it allows stronger-than-classical correlations (Bell inequalities), but there is nothing in this article to suggest anything like that is going on in the brain.  The original research, which is about a kind of phase locking going on between different parts of the brain, does sound interesting.