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Springer, 2015/ — 681 pp.The birth of the original idea of Quantum Communications might be dated back to the same age when Claude E. Shannon formulated the mathematical theory of communications in 1948. In 1950, Dennis Gabor wrote a seminal paper on how to revise Information Theory by considering Quantum Physics, introducing the term quantum noise. Actually, as the carrier frequency goes up to few tens of a terahertz, quantum noise rapidly becomes more dominant than thermal noise. In 1960, Theodore H. Maiman succeeded in producing the first beam of laser light, whose frequency was at a few hundred terahertz. For a long time, it was a crucial trigger for full-scale studies on Quantum Communications. It was not, however, a straightforward task at all for researchers to establish the unification of the paradoxical aspects of Quantum Mechanics with the landmarks of Communications Theory. It was only recently that the core of Quantum Communications, that is, the theory of capacity for a lossy quantum-limited optical channel, was established. Until now, many new ideas and schemes have been added to the original standard scheme of Quantum Communications, represented by quantum key distribution, quantum teleportation, and so on. Realizing a new paradigm of Quantum Communications is now an endeavor in science and technology, because it requires a grand sum of not only the latest Quantum Communications technologies but also the basics of Information Theory and Signal Detection and Processing technologies. Therefore, it is not easy for students and researchers to learn all the necessary knowledge, to acquire techniques to design and implement the system, and to operate it in practice. These tasks usually take a long time through a variety of courses, and by reading many papers and several books.

This book is meant to achieve this very purpose. The author, Professor Gianfranco Cariolaro, has been working for a long time in the fields of Communications and Image Processing technologies, Deep Space Communications, and Quantum Communications. From this book, readers can track a history of Quantum Communications and learn its core concepts and very practical techniques. For this decade, commercial applications of quantum key distribution have been taking place, and in 2013, lunar laser communication was successfully demonstrated by the National Aeronautics and Space Administration, where a novel photon counting method was employed. This means that an era of Quantum Communications in practice is around the corner. I am very excited to have this book at such a time. Through this book, readers will also be able to see a future Communications Technology on the shoulder of a long history of Quantum Communications.Introduction

**Part I Fundamentals**

Vector and Hilbert Spaces

Elements of Quantum Mechanics

**Part II Quantum Communications**

Introduction to Part II: Quantum Communications

Quantum Decision Theory: Analysis and Optimization

Quantum Decision Theory: Suboptimization

Quantum Communications Systems

Implementation of QTLC Systems

**Part III Quantum Information**

Introduction to Quantum Information Fundamentals of Continuous Variables

Quantum Communications Systems with Thermal Noise

Classical and Quantum Information TheoryApplications of Quantum Information

This book is meant to achieve this very purpose. The author, Professor Gianfranco Cariolaro, has been working for a long time in the fields of Communications and Image Processing technologies, Deep Space Communications, and Quantum Communications. From this book, readers can track a history of Quantum Communications and learn its core concepts and very practical techniques. For this decade, commercial applications of quantum key distribution have been taking place, and in 2013, lunar laser communication was successfully demonstrated by the National Aeronautics and Space Administration, where a novel photon counting method was employed. This means that an era of Quantum Communications in practice is around the corner. I am very excited to have this book at such a time. Through this book, readers will also be able to see a future Communications Technology on the shoulder of a long history of Quantum Communications.Introduction

Vector and Hilbert Spaces

Elements of Quantum Mechanics

Introduction to Part II: Quantum Communications

Quantum Decision Theory: Analysis and Optimization

Quantum Decision Theory: Suboptimization

Quantum Communications Systems

Implementation of QTLC Systems

Introduction to Quantum Information Fundamentals of Continuous Variables

Quantum Communications Systems with Thermal Noise

Classical and Quantum Information TheoryApplications of Quantum Information

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