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A Short Course in Quantum Information Theory

An Approach From Theoretical Physics

  • Book
  • © 2007

Overview

Authors:
  1. Lajos Diósi

    1. KFKI Research Institute for Partical and Nuclear Physics, Budapest, Hungary

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Part of the book series: Lecture Notes in Physics (LNP, volume 713)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-IX
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  2. Introduction

    • Lajos Diósi
    Pages 1-3

  3. Foundations of classical physics

    • Lajos Diósi
    Pages 7-13

  4. Semiclassical—semi-Q-physics

    • Lajos Diósi
    Pages 15-17

  5. Foundations of q-physics

    • Lajos Diósi
    Pages 19-30

  6. Two-state q-system: qubit representations

    • Lajos Diósi
    Pages 31-37

  7. One-qubit manipulations

    • Lajos Diósi
    Pages 39-51

  8. Composite q-system, pure state

    • Lajos Diósi
    Pages 53-67

  9. All q-operations

    • Lajos Diósi
    Pages 69-77

  10. Classical information theory

    • Lajos Diósi
    Pages 79-86

  11. Q-information theory

    • Lajos Diósi
    Pages 87-97

  12. Q-computation

    • Lajos Diósi
    Pages 99-107

  13. Back Matter

    Pages 109-127
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Keywords

About this book

Quantum information has become an independent fast growing research eld. There are new departments and labs all around the world, devoted to particular or even complex studies of mathematics, physics, and technology of controlling quantum degrees of freedom. The promised advantage of quantum technologies has ob- ously electri ed the eld which had been considered a bit marginal until quite - cently. Before, many foundational quantum features had never been tested or used on single quantum systems but on ensembles of them. Illustrations of reduction, - cay, or recurrence of quantum superposition on single states went to the pages of regular text-books, without being experimentally tested ever. Nowadays, however, a youngest generation of specialists has imbibed quantum theoretical and experim- tal foundations “from infancy”. From 2001 on, in spring semesters I gave special courses for under- and po- graduate physicists at Eötvös University. The twelve lectures could not include all standard chapters of quantum information. My guiding principles were those of the theoretical physicist and the believer in the unity of physics. I achieved a decent b- ance between the core text of quantum information and the chapters that link it to the edi ce of theoretical physics. Scholarly experience of the passed ve semesters will be utilized in this book.

Reviews

From the reviews:

"The best things about this book are its brevity and clarity. In around 100 pages it provides a tutorial introduction to quantum information theory, including problems and solutions. … it’s worth a look if you want to quickly get up to speed with the language and central concepts of quantum information theory, including the background classical information theory." (Craig Savage, Australian Physics, Vol. 44 (2), 2007)

"This book presents a short introduction to the basic concepts of quantum information theory. The organization of the chapters is rather original since the concepts and methods are presented first in the classical and then in the quantum language. This expository trick efficiently highlights the differences between the two ‘worlds’ and the advantages provided by quantum information processing. … it is suitable for both undergraduate and graduate students." (Dario Tamascelli, Mathematical Reviews, Issue 2008 d)

"The book by L. Diósi provides a concise, rather consistent and ‘thin’-book approach for teaching the quantum information theory which the author recommends ‘for all physicists, mathematicians and other people interested in universal and integrating aspects of physics.’ The idea of this ‘thin’-book … has to provide the readers with the self-contained and consistent material that would be sufficient for them to turn to concrete problems, largely without any suggestion to read further thick books." (Eugene Kryachko, Zentralblatt MATH, Vol. 1157, 2009)

Authors and Affiliations

  • KFKI Research Institute for Partical and Nuclear Physics, Budapest, Hungary

    Lajos Diósi

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