Description

Book Synopsis
Tensors are used throughout the sciences, especially in solid state physics and quantum information theory. This book brings a geometric perspective to the use of tensors in these areas. Numerous open problems appropriate for graduate students and post-docs are included throughout.

Table of Contents
  • Basics: Motivation, first definitions and properties
  • Tensors via linear algebra: Rank and border rank
  • Tensor networks
  • The asymptotic geometry of tensors: Detour into probability and information theory
  • Strassen's laser method and spectral theory
  • Quantum mechanics for quantum information theory
  • Quantum information theory and the asymptotic geometry of tensors
  • Moment maps and moment polytopes
  • Hints and answers to selected exercises
  • Bibliography
  • Index.

    Tensors Asymptotic Geometry and Developments

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      A Paperback by J.m. Landsberg

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        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 7/30/2019 12:00:00 AM
        ISBN13: 9781470451363, 978-1470451363
        ISBN10: 1470451360
        Also in:
        Algebraic geometry Applied mathematics

        Description

        Book Synopsis
        Tensors are used throughout the sciences, especially in solid state physics and quantum information theory. This book brings a geometric perspective to the use of tensors in these areas. Numerous open problems appropriate for graduate students and post-docs are included throughout.

        Table of Contents
        • Basics: Motivation, first definitions and properties
        • Tensors via linear algebra: Rank and border rank
        • Tensor networks
        • The asymptotic geometry of tensors: Detour into probability and information theory
        • Strassen's laser method and spectral theory
        • Quantum mechanics for quantum information theory
        • Quantum information theory and the asymptotic geometry of tensors
        • Moment maps and moment polytopes
        • Hints and answers to selected exercises
        • Bibliography
        • Index.

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