A Short Course in Quantum Information Theory

1. Front Matter

   Pages i-xv

   PDF

2. Introduction

   • Lajos Diósi

   Pages 1-5

3. Foundations of Classical Physics

   • Lajos Diósi

   Pages 7-17

4. Semiclassical, Semi-Q-Physics

   • Lajos Diósi

   Pages 19-21

5. Foundations of Q-Physics

   • Lajos Diósi

   Pages 23-36

6. Two-State Q-System: Qubit Representations

   • Lajos Diósi

   Pages 37-45

7. One-Qubit Manipulations

   • Lajos Diósi

   Pages 47-60

8. Composite Q-System, Pure State

   • Lajos Diósi

   Pages 61-77

9. All Q-Operations

   • Lajos Diósi

   Pages 79-87

10. Classical Information Theory

    • Lajos Diósi

    Pages 89-96

11. Q-Information Theory

    • Lajos Diósi

    Pages 97-108

12. Q-Computation

    • Lajos Diósi

    Pages 109-122

13. Qubit Thermodynamics

    • Lajos Diósi

    Pages 123-133

14. Back Matter

    Pages 135-161

    PDF

This short and concise primer takes the vantage point of theoretical physics and the unity of physics. It sets out to strip the burgeoning field of quantum information science to its basics by linking it to universal concepts in physics. An extensive lecture rather than a comprehensive textbook, this volume is based on courses delivered over several years to advanced undergraduate and beginning graduate students, but essentially it addresses anyone with a working knowledge of basic quantum physics. Readers will find these lectures a most adequate entry point for theoretical studies in this field. For the second edition, the authors has succeeded in adding many new topics while sticking to the conciseness of the overall approach. A new chapter on qubit thermodynamics has been added, while new sections and subsections have been incorporated in various chapter to deal with weak and time-continuous measurements, period-finding quantum algorithms and quantum error corrections. From the reviews of the first edition: "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)

• q-bits
• q-physics
• quantum computing
• quantum information
• information and communication, circuits

From the reviews of the second edition:

“The present work describes the basics in Quantum Information Theory … . It contain 12 chapters which graduate the theory and start from physics basic, draw up the Qubit Manipulation and Q-Operations, finalizing by Q-Computations and Qubit Thermodynamics. The entire course is done for students, each chapter has exercises and bibliography. In the end of the work the solutions for the exercises are presented. … a valuable introductory in the field of Quantum theory … .” (Nicolae Constantinescu, Zentralblatt MATH, Vol. 1232, 2012)

• KFKI Research Institute for, Particle & Nuclear Physics (RMKI), MTA Budapest, Budapest, Hungary

  Lajos Diosi

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