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.
Table of Contents:
Section 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
