It then discusses classical probability theory from a geometric perspective and develops the concept of complex projective space, after which it outlines the mathematical fundamentals of quantum mechanics.
This chapter covers topics related to mutually unbiased bases and the special quantum measurements known as SIC-POVMs.
Miłosz Michalski called the first edition "indispensable" for readers interested in the mathematics of quantum information, praising its writing style, use of illustrations, choice of exercises, and extensive collection of references.
[5] Reviewing the book for MathSciNet, Paul B. Slater found it "a markedly distinctive, dedicatedly pedagogical, suitably rigorous text".
Milburn opined that readers who wanted a quick introduction to entanglement would benefit more from a shorter book, but those with the time to devote to the topic should "hang a gone fishin' notice on your office door" and read Bengtsson and Życzkowski.