A good introduction might be this heavily cited paper from 2011 by another author, Busemeyer: "A quantum theoretical explanation for probability judgment error

A good introduction might be this heavily cited paper from 2011 by another author, Busemeyer: "A quantum theoretical explanation for probability judgment errors" (https://scholar.google.com/scholar?q=A+quantum+theoretical+explanation+for+probability+judgment+errors.+JR+Busemeyer https://scholar.google.com/scholar?q=A+quantum+theoretical+e...) He goes through the application of quantum probability, contrasts it with Komolgorov probability theory, and then walks through quite a few "anomalies" in cognitive psychology laying out specific models to deal with them. The exposition of quantum vs. Komolgorov probability is clear and does not rely on specialized prior knowledge. The list of anomalies makes apparent the need for better modeling tools.