Stanislaw Szarek and myself have writted a book focused on the interface between theoretical aspects of Quantum Information Theory and local theory of Banach spaces, a field which studies the properties of very large-dimensional convex sets and is also called Asymptotic Geometric Analysis.
The book has now appeared and we even started a blog!!
You can download a preliminary version of the book. Copy the following URL in your browser and remove the anti-bot part
Any comment of any kind is warmly welcome ! If you find misprints, please report! We will be able to correct them in the printed version.