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Tensors : asymptotic geometry and developments, 2016-2018

Author: J M Landsberg; Conference Board of the Mathematical Sciences.; National Science Foundation (U.S.)
Publisher: Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2019] ©2019
Series: Regional conference series in mathematics, no. 132.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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. It begins with an introduction to the geometry of tensors and provides geometric expositions of the basics of quantum information theory, Strassen's laser method for matrix multiplication, and moment maps in algebraic geometry. It  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Landsberg, J. M.
Tensors.
Providence, Rhode Island : American Mathematical Society, [2019]
(DLC) 2019001001
(OCoLC)1083703006
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: J M Landsberg; Conference Board of the Mathematical Sciences.; National Science Foundation (U.S.)
ISBN: 9781470452919 147045291X
OCLC Number: 1108535739
Notes: "Support from the National Science Foundation."--Title page verso
Description: 1 online resource (ix, 144 pages) : illustrations
Contents: Motivation, first definitions and properties --
Rank and border rank --
Tensor networks --
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
Series Title: Regional conference series in mathematics, no. 132.
Responsibility: J.M. Landsberg

Abstract:

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  Read more...

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