Alice and Bob Meet Banach
Subtitle: The Interface of Asymptotic Geometric Analysis and Quantum Information Theory
Publisher: American Mathematical Society
Published: 2017
Language: eng
Number of pages: 414
ISBN-13: 9781470434687
Subjects: Geometry, analytic; Quantum theory; Functional analysis
Description: The quest to build a quantum computer is arguably one of the major scientific and technological challenges of the twenty-first century, and quantum information theory (QIT) provides the mathematical framework for that quest. Over the last dozen or so years, it has become clear that quantum information theory is closely linked to geometric functional analysis (Banach space theory, operator spaces, high-dimensional probability), a field also known as asymptotic geometric analysis (AGA). In a nutshell, asymptotic geometric analysis investigates quantitative properties of convex sets, or other geo.