TY - BOOK AU - Aubrun,Guillaume AU - Szarek,Stanisław J. TI - Alice and Bob meet Banach: the interface of asymptotic geometric analysis and quantum information theory T2 - Mathematical surveys and monographs SN - 9781470434687 (alk. paper) U1 - 510MS 23 PY - 2017/// CY - Providence : PB - American Mathematical Society, KW - Geometric analysis KW - Quantum theory N1 - Includes bibliographical references and index; Part 1. Alice and Bob : mathematical aspects of quantum information theory -- Part 2. Banach and his spaces : asymptotic geometric analysis miscellany -- Part 3. The meeting : AGA and QIT N2 - 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. ER -