Reviews"This is a book I would have liked to have written myself. In fact quite some years ago, together with colleagues, we tried. But writing a book, and especially writing it well, is an enormous task and in the end we failed to come anywhere near completion. But I always felt that there was a need for a book on continuous variables which are so important in quantum information science and especially quantum communication. Hence, I am all the more delighted to see that Alessio Serafini showed more resolve than we did then and wrote such an excellent textbook on continuous variable physics that is bringing together all the most important concepts and technical tools of this area. Finally I can stop handing out our half-written book to my students and postdocs and just give them Quantum Continuous Variableswhich, I am sure, will become the standard reference on the topic." --Martin B Plenio, Director of the Institute of Theoretical Physics, Ulm University "This is a much needed textbook covering an exciting field of research which is attracting attention from many scientists in mathematics and physics. The book goes through the basics in a rigorous yet easy to follow fashion, and covers even the latest developments in quantum information theory with continuous variable systems. I particularly like the part about Gaussian channels, containing new elegant proofs of seminal results which are very hard to track elsewhere. The book also includes a gallery of physical realizations of Gaussian states and operations in different quantum technology platforms. In general, the author writes in a compelling style which will no doubt result in a highly popular and accessible textbook. I have been awaiting such a book for at least ten years, and will eagerly recommend it to all my current and future students!" --Gerardo Adesso,Professor of Mathematical Physics, The University of Nottingham
Dewey Edition23/eng/20230331
Table Of ContentSection I Preliminaries Introduction Quantum Mechanics: instructions for use Section II Foundations Gaussian States of continuous variable systems Phase Space methods Section III Dynamics Gaussian Operations Diffusive dynamics and continuous monitoring Section IV Correlations Entanglement of continuous variable systems Section V Technologies Quantum information protocols with continuous variables A grand tour of continuous variable platforms Appendices A note on fermions Some notable facts about the symplectic group The Wiener process Selected mathematical lore on quantum channels Classical and quantum Cramer Rao bounds
SynopsisThis book introduces the reader to the vast area of research focusing on quantum mechanical systems described by continuous variables, such as positions and momenta of particles, which provide the theoretical framework for quantum optics and, more generally, quantum field theory. Once acquainted with the material in the book, a student with a physics or engineering background will be able to tackle the literature in the field and undertake first-hand research., Quantum Continuous Variables introduces the theory of continuous variable quantum systems, from its foundations based on the framework of Gaussian states to modern developments, including its applications to quantum information and forthcoming quantum technologies. This new book addresses the theory of Gaussian states, operations, and dynamics in great depth and breadth, through a novel approach that embraces both the Hilbert space and phase descriptions., Quantum Continuous Variables introduces the theory of continuous variable quantum systems, from its foundations based on the framework of Gaussian states to modern developments, including its applications to quantum information and forthcoming quantum technologies. This new book addresses the theory of Gaussian states, operations, and dynamics in great depth and breadth, through a novel approach that embraces both the Hilbert space and phase descriptions. The volume includes coverage of entanglement theory and quantum information protocols, and their connection with relevant experimental set-ups. General techniques for non-Gaussian manipulations also emerge as the treatment unfolds, and are demonstrated with specific case studies. This book will be of interest to graduate students looking to familiarise themselves with the field, in addition to experienced researchers eager to enhance their understanding of its theoretical methods. It will also appeal to experimentalists searching for a rigorous but accessible treatment of the theory in the area.