Sandor Imre, Laszlo Gyongyosi

Advanced Quantum Communications (eBook, ePUB)

An Engineering Approach

• Format: ePub

Produktbeschreibung

The book provides an overview of the most advanced quantum informational geometric techniques, which can help quantum communication theorists analyze quantum channels, such as security or additivity properties. Each section addresses an area of major research of quantum information theory and quantum communication networks. The authors present the fundamental theoretical results of quantum information theory, while also presenting the details of advanced quantum ccommunication protocols with clear mathematical and information theoretical background. This book bridges the gap between quantum physics, quantum information theory, and practical engineering.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 488
• Erscheinungstermin: 27. November 2012
• Englisch
• ISBN-13: 9781118337455
• Artikelnr.: 37350993

Autorenporträt

SANDOR IMRE is head of the Department of Telecommunications at Budapest University of Technology and Economics in Budapest, Hungary. He has published over 250 peer-reviewed papers from global journals and at international conferences including many of IEEE COMSOC-sponsored conferences. LASZLO GYONGYOSI is a PhD student and faculty member at Budapest University of Technology and Economics in Budapest, Hungary.

Inhaltsangabe

PREFACE xvii CHAPTER 1 INTRODUCTION 1 1.1 Emerging Quantum Infl uences 2
1.2 Quantum Information Theory 2 1.3 Different Capacities of Quantum
Channels 3 1.4 Challenges Related to Quantum Channel Capacities 5 1.5
Secret and Private Quantum Communication 6 1.6 Quantum Communications
Networks 8 1.7 Recent Developments and Future Directions 9 CHAPTER 2
INTRODUCTION TO QUANTUM INFORMATION THEORY 11 2.1 Introduction 12 2.2 Basic
Definitions and Formulas 15 2.3 Geometrical Interpretation of the Density
Matrices 25 2.4 Quantum Entanglement 31 2.5 Entropy of Quantum States 34
2.6 Measurement of the Amount of Entanglement 43 2.7 Encoding Classical
Information to Quantum States 49 2.8 Quantum Noiseless Channel Coding 54
2.9 Brief Summary 57 2.10 Further Reading 57 CHAPTER 3 THE CLASSICAL
CAPACITIES OF QUANTUM CHANNELS 65 3.1 Introduction 65 3.2 From Classical to
Quantum Communication Channels 73 3.3 Transmission of Classical Information
over Quantum Channels 77 3.4 The Holevo-Schumacher-Westmoreland Theorem 84
3.5 Classical Communication over Quantum Channels 89 3.6 Brief Summary of
Classical Capacities 98 3.7 Multilevel Quantum Systems and Qudit Channels
98 3.8 The Zero-Error Capacity of a Quantum Channel 100 3.9 Further Reading
117 CHAPTER 4 THE QUANTUM CAPACITY OF QUANTUM CHANNELS 126 4.1 Introduction
126 4.2 Transmission of Quantum Information 128 4.3 Quantum Coherent
Information 136 4.4 The Asymptotic Quantum Capacity 146 4.5 Relation
between Classical and Quantum Capacities of Quantum Channels 149 4.6
Further Reading 151 CHAPTER 5 GEOMETRIC INTERPRETATION OF QUANTUM CHANNELS
156 5.1 Introduction 156 5.2 Geometric Interpretation of the Quantum
Channels 157 5.3 Geometric Interpretation of the Quantum Informational
Distance 162 5.4 Computation of Smallest Quantum Ball to Derive the HSW
Capacity 182 5.5 Illustrative Example 190 5.6 Geometry of Basic Quantum
Channel Models 191 5.7 Geometric Interpretation of HSW Capacities of
Different Quantum Channel Models 197 5.8 Further Reading 213 CHAPTER 6
ADDITIVITY OF QUANTUM CHANNEL CAPACITIES 218 6.1 Introduction 218 6.2
Additivity of Classical Capacity 223 6.3 Additivity of Quantum Capacity 225
6.4 Additivity of Holevo Information 232 6.5 Geometric Interpretation of
Additivity of HSW Capacity 245 6.6 Classical and Quantum Capacities of some
Channels 260 6.7 The Classical Zero-Error Capacities of some Quantum
Channels 264 6.8 Further Reading 265 CHAPTER 7 SUPERACTIVATION OF QUANTUM
CHANNELS 269 7.1 Introduction 270 7.2 The Non-Additivity of Private
Information 270 7.3 Channel Combination for Superadditivity of Private
Information 274 7.4 Superactivation of Quantum Capacity of Zero-Capacity
Quantum Channels 282 7.5 Behind Superactivation: The Information Theoretic
Description 295 7.6 Geometrical Interpretation of Quantum Capacity 302 7.7
Example of Geometric Interpretation of Superactivation 305 7.8 Extension of
Superactivation for More General Classes 310 7.9 Superactivation of
Zero-Error Capacities 315 7.10 Further Reading 322 CHAPTER 8 QUANTUM
SECURITY AND PRIVACY 325 8.1 Introduction 326 8.2 Quantum Key Distribution
330 8.3 Private Communication over the Quantum Channel 333 8.4 Quantum
Cryptographic Primitives 336 8.5 Further Reading 354 CHAPTER 9 QUANTUM
COMMUNICATION NETWORKS 362 9.1 Long-Distance Quantum Communications 362 9.2
Levels of Entanglement Swapping 368 9.3 Scheduling Techniques of Purifi
cation 371 9.4 Hybrid Quantum Repeater 375 9.5 Probabilistic Quantum
Networks 382 9.6 Conclusions 384 9.7 Further Reading 384 CHAPTER 10 RECENT
DEVELOPMENTS AND FUTURE DIRECTIONS 388 10.1 Introduction 388 10.2 Qubit
Implementations 391 10.3 Quantum CPUs 396 10.4 Quantum Memories 400 10.5
Further Reading 411 NOTATIONS AND ABBREVIATIONS 413 REFERENCES 420 INDEX
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