Quantum Continuous Variables

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.

"The book is well written. It consists of several problems which are frequently encountered by researchers. Endnotes after each chapter and appendices gives better clarity. The book has given an accessible and self contained introduction to quantum information theory of continuous variable as well as its applications."—Ritabrata Sengupta in Zentralblatt MATH July 2018 "There are many research projects these days about possible applications of quantum theory in information technology (quantum computers), optics, and other areas. This book…presents the theory of continuous variable quantum systems based on the theory of Gaussian states (including operations, dynamics, Hilbert space, phase descriptions, the Gaussian additivity conjecture, entanglement theory, and non-Gaussian manipulations), and shows its applications to experimental platforms, entanglement generation, quantum teleportation, classical channel capacities, quantum metrology, quantum key distribution, and other quantum information and quantum technologies. The idea is to explain the physics subjects using a unifying mathematical approach, but without too many mathematical details. This book is a graduate-level textbook, with 5 parts containing 9 chapters and 70 problems and their solutions…This good book is recommended for mathematicians, physicists, philosophers of physics, researchers, and advanced students in mathematics and physics, as well as readers with interest in applications and experiments in this field."—Michael M. Dediu in Mathematical Reviews June 2018"For many years, I have been hoping for a textbook that would systematically and pedagogically cover the topic of Gaussian states and channels in quantum information. This research topic has been one of the core topics in quantum information, given that experimental physicists can prepare such quantum states in the laboratory and many relevant communication channels are described by the

Alessio Serafini earned his PhD from the University of Salerno. He is currently a Reader at University College London. His research focuses mainly on quantum optics, quantum information with continuous variables, and the theory of quantum control.