Since it's not mentioned in the article, it should be kept in mind that most practicing physicists and neuroscientists consider Penrose's theories of the brain to be philosophy rather than science, and many consider it pseudoscience. It doesn't make practically testable predictions yet, and it doesn't provide additional explanatory power compared to classical (non-quantum) theories of the brain for any existing observations.

The research described in this article is similar. Even interpreting it charitably, it has nothing to do with the human brain. The research shows that it may be possible to build quantum devices with certain properties that could have high communication complexity. It doesn't show that human brains have any of these properties or that these properties are in any way necessary to explain consciousness.