Publication list for Szarek, Stanisław

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  • Alice and Bob Meet Banach: The Interface of Asymptotic Geometric Analysis and Quantum Information Theory
    Base Product Code Keyword List: surv; SURV; surv/223; SURV/223; surv-223; SURV-223
    Print Product Code: SURV/223
    Online Product Code: SURV/223.E
    Title (HTML): Alice and Bob Meet Banach: The Interface of Asymptotic Geometric Analysis and Quantum Information Theory
    Author(s) (Product display): Guillaume Aubrun; Stanisław J. Szarek
    Affiliation(s) (HTML): Université Claude Bernard Lyon 1, Villeurbanne, France; Case Western Reserve University, Cleveland, OH and Sorbonne Université , Paris, France

    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 geometric structures, and their approximate symmetries as the dimension becomes large. This makes it especially relevant to quantum theory, where systems consisting of just a few particles naturally lead to models whose dimension is in the thousands, or even in the billions.

    Alice and Bob Meet Banach is aimed at multiple audiences connected through their interest in the interface of QIT and AGA: at quantum information researchers who want to learn AGA or apply its tools; at mathematicians interested in learning QIT, or at least the part of QIT that is relevant to functional analysis/convex geometry/random matrix theory and related areas; and at beginning researchers in either field. Moreover, this user-friendly book contains numerous tables and explicit estimates, with reasonable constants when possible, which make it a useful reference even for established mathematicians generally familiar with the subject.

    Book Series Name: Mathematical Surveys and Monographs
    Volume: 223
    Publication Month and Year: 2017-08-30
    Copyright Year: 2017
    Page Count: 414
    Cover Type: Hardcover
    Print ISBN-13: 978-1-4704-3468-7
    Online ISBN 13: 978-1-4704-4172-2
    Print ISSN: 0076-5376
    Online ISSN: 0076-5376
    Primary MSC: 46; 52; 81; 60
    Textbook?: true
    Applied Math?: true
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    Apparel or Gift: false
    SXG Subject: AN; AP
    Supplemental Materials (URL at AMS):
    Online Price 1 Label: List
    Online Price 1: 116.00
    Print Price 1 Label: List
    Print Price 1: 116.00
    Online Price 2 Label: Individual Member
    Online Price 2: 92.80
    Print Price 2 Label: Individual Member
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    Dual Price 1 Label: List
    Dual Price 1: 145
    Dual Price 2 Label: Individual Member
    Dual Price 2: 116
    Print Add to Cart URL: /some/url/at/AMS/SURV-223
    Electronic Add to Cart URL: /some/url/at/AMS/SURV-223.E
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    Graduate students and researchers interested in mathematical aspects of quantum information theory and quantum computing.

    Related Products: Asymptotic Geometric Analysis, Part I Geometric Nonlinear Functional Analysis Classical and Quantum Computation
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