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An Introduction to the Formalism of Quantum Information with Continuous Variables

Carlos Navarrete-Benlloch


Quantum information is an emerging field that has attracted a lot of attention in the last couple of decades. It is a broad subject that extends from the most applied questions (e.g. how to build quantum computers or secure cryptographic systems) to the most theoretical problems concerning the formalism and interpretation of quantum mechanics, its complexity, and its potential to go beyond classical physics. This book is an introduction to quantum information with special emphasis on continuous-variable systems (such as light) that can be described as collections of harmonic oscillators. It covers a selection of basic concepts, focusing on their physical meaning and mathematical treatment. It starts from the very first principles of quantum mechanics, and builds up the concepts and techniques following a logical progression. This is an excellent reference for students with a full semester of standard quantum mechanics and researchers in closely related fields.

About Editors

After receiving his PhD, Carlos Navarrete-Benlloch joined J Ignacio Cirac's theory division at MPQ as a postdoctoral researcher. At MPQ, Carlos has mainly focused on dissipative quantum optics with nonlinear optical cavities, superconducting circuits, and optomechanical systems, as well as on quantum simulation with ultracold atoms, collaborating with several scientists inside and outside MPQ. In the field of quantum information with continuous variables, Carlos has contributed to the theory of non-Gaussian states and operations, as well as the characterization of the classical capacity of Gaussian channels.

Table of Contents

Table of Contents: Preface / Acknowledgments / Author's Biography / Quantum-mechanical description of physical systems / Bipartite systems and entanglements / Quantum operations / Quantum information with continuous variables / Bibliography


Paperback ISBN: 9780750328111

Ebook ISBN: 9781681744063

DOI: 10.1088/978-1-6817-4405-6

Publisher: Morgan & Claypool Publishers


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