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, tentatively in September 2017.
Some time before publication we will launch a blog, a link to which will appear here.