Transitions from Digital Communications to Quantum Communications

This book addresses the move towards quantum communications, in light of the recent technological developments on photonic crystals and their potential applications in systems. The authors present the state of the art on extensive quantum communications, the first part of the book being dedicated to the relevant theory; quantum gates such as Deutsch gates, Toffoli gates and Dedekind gates are reviewed with regards to their feasibility as electronic circuits and their implementation in systems, and a comparison is performed in parallel with conventional circuits such as FPGAs and DSPs. The specifics of quantum communication are also revealed through the entanglement and Bell states, and mathematical and physical aspects of quantum optical fibers and photonic crystals are considered in order to optimize the quantum transmissions. These concepts are linked with relevant, practical examples in the second part of the book, which presents six integrated applications for quantum communications.

Foreword xi Preface xiii Introduction xv List of Acronyms xix Part 1 Theory 1 Chapter 1 Non-linear Signal Processing 3 Chapter 2 Non-Gaussian Processes 15 Chapter 3 Sparse Signals and Compressed Sensing 23 Chapter 4 The Fourier Transform 29 Chapter 5 The Contribution of Arithmetic to Signal Processing 35 Chapter 6 Riemannian Geometry and Signal Processing 41 Part 2 Applications 49 Chapter 7 MIMO Systems 51 Chapter 8 Minimizing Interferences in DS-CDMA Systems 71 Chapter 9 STAP Radar 99 Chapter 10 Tracking Radar (Using the Dempster-Shafer Theory) 121 Chapter 11 InSAR Radar 139 Chapter 12 Telecommunications Networks 153 Conclusion 173 Bibliography 177 Index 197