The Interface of Asymptotic
Geometric Analysis and Quantum Information Theory

Guillaume Aubrun and I wrote a book focused on the interface between
mathematical aspects of Quantum Information Theory and local theory of
Banach spaces, a field which studies the properties of (very)
high-dimensional objects and is also often called Asymptotic Geometric
Analysis.

The book will appear in the Mathematical Surveys and Monographs series
of the American Mathematical Society, presumably in the fall of 2017.