Quantum Continuous Variables

A Primer of Theoretical Methods

Alessio Serafini

• Publisher: CRC Press
• Year: 2017
• eBook ISBN: 9781351645003
• Edition: 1
• Topic: Mathematics
• Subtopic: Arithmetic
• Index: Mathematics

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

• Cover
• Half Title
• Title Page
• Copyright Page
• Table of Contents
• List of Problems
• Preface
• Acknowledgements
• PART I Preliminaries
• PART II Foundations
• PART III Dynamics
• PART IV Correlations
• PART V Technologies
• APPENDIX A ■ A note on fermions
• APPENDIX B ■ Some notable facts about the symplectic group
• APPENDIX C ■ The Wiener process
• APPENDIX D ■ Selected mathematical lore on quantum channels
• APPENDIX E ■ Classical and quantum estimation bounds
• References
• Index