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Alice and Bob meet Banach : the interface of asymptotic geometric analysis and quantum information theory

Author: Guillaume Aubrun; Stanisław J Szarek
Publisher: Providence, Rhode Island : American Mathematical Society, [2017] ©2017
Series: Mathematical surveys and monographs, no. 223.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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  Read more...
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Document Type: Book
All Authors / Contributors: Guillaume Aubrun; Stanisław J Szarek
ISBN: 9781470434687 1470434687
OCLC Number: 976036359
Description: xxi, 414 pages : illustrations ; 26 cm.
Contents: 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.
Series Title: Mathematical surveys and monographs, no. 223.
Other Titles: Interface of asymptotic geometric analysis and quantum information theory
Responsibility: Guillaume Aubrun, Stanisław J. Szarek.

Abstract:

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.

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