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Functional Phase Space Methods
Quantum Optics in All Degrees of Freedom
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Filippus S. Roux
Language:
English
Published/Copyright:
2025
About this book
This book focuses on functional phase space methods in quantum optics and provides a comprehensive introduction to the Wigner functional formalism. The book shows how this formalism can be used for analyzing and designing practical photonic quantum information systems. It also explains in detail the application of the Wigner functional formalism to parametric down-conversion, an important process in quantum optics.
- The first textbook on Wigner functional theory.
- The most comprehensive analysis of parametric down-conversion.
- Self-contained with a thorough background and pedagogical style suitable for graduate students in physics and engineering.
Author / Editor information
Filippus Roux, University of KwaZulu-Natal, South Africa
Topics
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Frontmatter
I -
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Dedication
V -
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Contents
VII -
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Preface
XVII -
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Acknowledgments
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1 Introduction
1 - Part I Background material
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2 Classical optics
21 -
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3 Quantum optics
86 - Part II Functional phase space formalism
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4 Combining all degrees of freedom
157 -
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5 Wigner functional theory
209 -
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6 Wigner functionals of states and operators
232 -
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7 Measurements
325 - Part III Parametric down-conversion
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8 Modelling parametric down-conversion
419 -
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9 Applications in parametric down-conversion
481 - Part IV Epilogue
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10 Summary and outlook
541 -
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A Generating functions
551 -
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B Dispersive birefringence
557 -
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C Functional integration
561 -
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D Inverses and determinants
569 -
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Index
577
Publishing information
Pages and Images/Illustrations in book
eBook published on:
August 21, 2025
eBook ISBN:
9783111445342
Paperback published on:
August 21, 2025
Paperback ISBN:
9783111445311
Pages and Images/Illustrations in book
Front matter:
20
Main content:
584
Illustrations:
31
Coloured Illustrations:
27
Tables:
5
Keywords for this book
Quantum Information Technology; Wigner-Moyal Formalism; Parametric down-conversion; Quantum State Preparation; Continuous Variable Entanglement.
Audience(s) for this book
Graduate math students focused on engineering and physics of photonic quantum information. Course: Advanced Quantum Optics.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
