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The Functional Analysis of Quantum Information Theory A Collection of Notes Based on Lectures by Gilles Pisier - Paperback
665.00 EGP

The Functional Analysis of Quantum Information Theory A Collection of Notes Based on Lectures by Gilles Pisier - Paperback

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Category Type
Mathematics
ISBN
9783319167176
Author
Various
Publisher
Springer International Publishing AG
Description:

This book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the ...

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PRODUCT INFORMATION

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783319167176
    Item EAN
    2724445781789
    People
    Author
    Various
    People
    Publisher
    Springer International Publishing AG
    Category Type
    Mathematics
    ISBN
    9783319167176
    Item EAN
    2724445781789
    People
    Author
    Various
    People
    Publisher
    Springer International Publishing AG
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    This book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. This basic framework for the mathematical formulation of quantum

    This book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the pioneers of operator algebras, which forms the underpinning of most current mathematical treatments of the quantum theory, besides being one of the most dynamic areas of twentieth century functional analysis. Today, von Neumann's foresight finds expression in the rapidly growing field of quantum information theory. These notes gather the content of lectures given by a very distinguished group of mathematicians and quantum information theorists, held at the IMSc in Chennai some years ago, and great care has been taken to present the material as a primer on the subject matter. Starting from the basic definitions of operator spaces and operator systems, this text proceeds to discusses several important theorems including Stinespring's dilation theorem for completely positive maps and Kirchberg's theorem on tensor products of C*-algebras. It also takes a closer look at the abstract characterization of operator systems and, motivated by the requirements of different tensor products in quantum information theory, the theory of tensor products in operator systems is discussed in detail.

    Product Features :
    • Category Type: Mathematics
    • Author: Ved Prakhash Gupta, Prabha Mandayam and V. S. Sunder
    • ISBN: 9783319167176
    • Binding: Paperback
    • Book Language: English
    • Publisher: Springer International Publishing AG
    • Number of Pages: 150 Pages
    • Dimensions: 23.5 x 15.5 x 0.8 cm
    • Product Weight: 0.24 kg
    • Publication Year: 2015
    • Book Origin: Switzerland
    • Series: Lecture Notes in Physics
 

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