Alice and Bob Meet Banach

The Interface of Asymptotic Geometric Analysis and Quantum Information Theory

A cartoon
Cartoon by Aurélie Garnier

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 October 2017. Some time before the publication we will launch a blog, a link to which will appear here.

Here is the book's table of contents, preface, list of tables (we hope some of them will be very useful beyond the present applications), and sample chapters: The Mathematics of Quantum Information Theory, Metric Entropy and Concentration of Measure in Classical Spaces, Entanglement of Pure States in High Dimensions, Random Quantum States.

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