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, presumably in the fall of 2017.

Here is the book's table of contents, preface, 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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