Galois Fields and Galois Rings Made Easy
eBook - ePub

Galois Fields and Galois Rings Made Easy

  1. 270 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Galois Fields and Galois Rings Made Easy

Book details
Table of contents
Citations

About This Book

This book constitutes an elementary introduction to rings and fields, in particular Galois rings and Galois fields, with regard to their application to the theory of quantum information, a field at the crossroads of quantum physics, discrete mathematics and informatics.The existing literature on rings and fields is primarily mathematical. There are a great number of excellent books on the theory of rings and fields written by and for mathematicians, but these can be difficult for physicists and chemists to access.This book offers an introduction to rings and fields with numerous examples. It contains an application to the construction of mutually unbiased bases of pivotal importance in quantum information. It is intended for graduate and undergraduate students and researchers in physics, mathematical physics and quantum chemistry (especially in the domains of advanced quantum mechanics, quantum optics, quantum information theory, classical and quantum computing, and computer engineering).Although the book is not written for mathematicians, given the large number of examples discussed, it may also be of interest to undergraduate students in mathematics.

  • Contains numerous examples that accompany the text
  • Includes an important chapter on mutually unbiased bases
  • Helps physicists and theoretical chemists understand this area of mathematics

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Yes, you can access Galois Fields and Galois Rings Made Easy by Maurice Kibler in PDF and/or ePUB format, as well as other popular books in Mathématiques & Mathématiques générales. We have over one million books available in our catalogue for you to explore.

Information

Publisher
ISTE Press - Elsevier
Year
2017
ISBN
9780081023518
Topic
Mathématiques
Subtopic
Mathématiques générales

Table of contents

  1. Cover
  2. Title page
  3. Table of Contents
  4. Dedication
  5. Copyright
  6. Acknowledgments
  7. Preface
  8. List of Mathematical Symbols
  9. 1: The Structures of Ring and Field
  10. 2: Galois Fields
  11. 3: Galois Rings
  12. 4: Mutually Unbiased Bases
  13. 5: Appendix on Number Theory and Group Theory
  14. Bibliography
  15. Index