Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

CRC Press eBooks

Quantal and Classical Coherence and Correlation

Takayoshi Kobayashi

Published Oct 15, 2025• 0 citations
Publisher

Abstract

This book highlights the physical processes of quantum mechanics, such as quantum interference, entanglement, and quantum teleportation, within the topic of quantum information and quantum computing.Quantal and Classical Coherence and Correlation begins with exploring the general mathematical and physical concepts of coherence and correlation and provides a comparative discussion of classical and quantum coherence and correlation. In this context, the author explains the principles of quantum information, and the discussion then moves to material coherence and optical coherence and their control. He then discusses the differences between classical and quantal information techniques. The book closes with a discussion on the application probabilities of quantum technologies by examining the present and future applications of coherence. This book is intended for upper‑level undergraduate and graduate physics and engineering students who are studying nonlinear optics, light–matter interaction, and quantum information; and industrial professionals who are involved in electronics and photonics. It will also be of interest to engineers who are involved in quantum information and quantum networks.

DOI
10.1201/9781003618997

Related papers

Introduction to Quantum Optics

Harry Paul

This textbook provides a physical understanding of what photons are and of their properties and applications. Special emphasis is made in the text to entangled photon pairs which exhibit quantum mechanical correlations over manifestly macroscopic distances. Such photon pairs make possible such exciting techniques as teleportation and quantum cryptography, as well as the physical realisation of Einstein-Podolsky-Rosen type experiments. In addition, nonclassical properties of light, such as photon antibunching and squeezing, as well as quantum phase measurement and optical tomography are discussed. The author describes relevant experiments and elucidates the physical ideas behind them. This book will be of interest to undergraduates and graduate students studying optics, and to any physicist with an interest in the mysteries of the photon and exciting modern work in quantum cryptography and teleportation.

Cambridge University Press eBooks•May 20, 2004•56 citations

An Introduction to Quantum Optics

Yanhua H. Shih, Yanhua H. Shih

Authored by a highly regarded international researcher and pioneer in the field, An Introduction to Quantum Optics: Photon and Biphoton Physics is a straightforward overview of basic principles and experimental evidence for the quantum theory of light. This book introduces and analyzes some of the most exciting experimental research to date in the field of quantum optics and quantum information, helping readers understand the revolutionary changes occurring in optical science. Paints a picture of light in terms of general quantum interference, to reflect the physical truth behind all optical observations Unlike most traditional books on the subject, this one introduces fundamental classical and quantum concepts and measurement techniques naturally and gradually as it explores the process of analyzing typical experimental observations. Separating itself from other books with this uncommon focus on the experimental part of analysis, this volume: Provides a general overview of the optical coherence of light without quantization Introduces concepts and tools of field quantization and quantum optics based on the principles and rules of quantum mechanics Analyzes similarities and differences between classical and quantum coherence Concentrates on key research topics in quantum optics Explains photon and biphoton physics by examining the devices and experimental procedures used to test theories This book is basic enough for students, but it also covers a broad range of higher-level concepts that will benefit scientists and other professionals seeking to enhance their understanding of practical and theoretical aspects and new experimental methods of measurement. This material summarizes exciting developments and observations and then helps readers of all levels apply presented concepts and tools to summarize, analyze, and resolve quantum optical problems in their own work. It is a great aid to improve methods of discovering new physics and better understand and apply nontraditional concepts and interpretations in both new and historical experimental discoveries.

CRC Press eBooks•Feb 24, 2018•41 citations

Quantum–Classical Correspondence

Charis Anastopoulos

The ideal text for a two-semester graduate course on quantum mechanics. Fresh, comprehensive, and clear, it strikes the optimal balance between covering traditional material and exploring contemporary topics. Focusing on the probabilistic structure of quantum mechanics and the central role of symmetries to unify principles, this textbook guides readers through the logical development of the theory. Students will also learn about the more exciting and controversial aspects of quantum theory, with discussions on past interpretations and the current debates on cutting-edge concepts such as quantum information and entanglement, open quantum systems, and quantum measurement theory. The book has two types of content: Type A material is more elementary and is fully self-contained, functioning like a separate book within the book, while Type B content is at the level of a graduate course. Requiring minimal physics background, this textbook is appropriate for mathematics and engineering students, in addition to physicists. Introducing cutting-edge topics in the field, the book features about 150 concept-checking questions, 300 homework problems and a solutions manual.

Cambridge University Press eBooks•Aug 31, 2023•33 citations

Quantum Technology: Unlocking the Nature of Physical Reality

Alamgir Khan, Jamil Khan, Khalilullah +2 more

This book provides a comprehensive and organized study of quantum technology, focusing on principles, mathematical foundations, and practical realizations of quantum teleportation and other processes in the field of quantum information. It starts with the basic principles of quantum mechanics (wave-particle duality, for instance) superposition and measurement theory all helping as the theoretical backbone of current quantum science. In addition to these basics, we provide a concise introduction and discussion of quantum energy or the quantization of energy levels, energy eigenstates and Planck’s constant, which determines what happens in microscopic systems allowing quantum theory an overlap with data from physical observables. Building on these principles, the book introduces quantum states and quantum entanglement, highlighting their non-classical correlations and their crucial role in facilitating quantum communication protocols. This book also discusses quantum gates and quantum circuits as the units of quantum computation and how quantum information is computed and manipulated by using controlled unitary operations. Also, it discusses the impact of both quantum decoherence and environmental noise which pose significant difficulties to coherent quantum systems and dependable information transmission. It discusses methods of error correction and coherence . This book further expanded to quantum cryptography and secure communications with more importance on protocols like quantum key distribution which make use of quantum principles to provide provable security. Quantum computing architectures and algorithms are also measured and various physical implementations and computational models that strive to produce scalable quantum processors are outlined. Problems and limitations of quantum teleportation are critically examined and these are, reliability issues, channel losses, scaling, and resource limitations. Lastly, the book ends by outlining the future of quantum technology, investigating the new technologies and opportunities, the possible advances, and the revolutionary use of quantum technologies in the fields of computation, communication and secure information processing.

•Apr 22, 2026•0 citations

Introduction to Quantum Information Processing

Eduardo R. Mucciolo

This book introduces quantum computing and quantum communications at the undergraduate level for students in the physical sciences, engineering, and mathematics, assuming no prior knowledge of quantum mechanics. It is a self-contained guide assuming only that the reader is familiar with physics at the college level, calculus (up to and including ordinary differential equations), and some matrix algebra and complex numbers. The book brings the reader up to speed with fundamental concepts in quantum information processing and builds a working knowledge of basic quantum algorithms, quantum error correction, and quantum communication protocols. It covers various models of quantum computation and some of the most common physical realizations of qubits. There is a good number of practice problems and exercises that rely on computer programming with the Qiskit language. The book can be used to prepare students of physics, mathematics, electrical and computer engineering, computer science, optics and photonics, and mathematics for internships and research experiences in quantum information processing, both during and after their undergraduate studies. It also helps those who plan to apply to graduate school and do research in this area. Key Features: Self-contained coverage of quantum computing and quantum communications, from the motivations to the fundamentals and applications, including key concepts and contemporary topics. Contains practice problems and exercises, including some that require programming in Qiskit (the python-based, high-level language for programming quantum computers, adopted by nearly all quantum hardware providers and completely open source). Very light background knowledge assumed, making this book accessible to a variety of majors in the natural sciences, engineering, and mathematics.

CRC Press eBooks•Aug 6, 2025•0 citations

Introductory Quantum Optics

Christopher C. Gerry, P. L. Knight

This book provides an elementary introduction to the subject of quantum optics, the study of the quantum mechanical nature of light and its interaction with matter. The presentation is almost entirely concerned with the quantized electromagnetic field. Topics covered include single-mode field quantization in a cavity, quantization of multimode fields, quantum phase, coherent states, quasi-probability distribution in phase space, atom-field interactions, the Jaynes-Cummings model, quantum coherence theory, beam splitters and interferometers, dissipative interactions, nonclassical field states with squeezing etc., 'Schrödinger cat' states, tests of local realism with entangled photons from down-conversion, experimental realizations of cavity quantum electrodynamics, trapped ions, decoherence, and some applications to quantum information processing, particularly quantum cryptography. The book contains many homework problems and an extensive bibliography. This text is designed for upper-level undergraduates taking courses in quantum optics who have already taken a course in quantum mechanics, and for first and second year graduate students.

Cambridge University Press eBooks•Oct 28, 2004•1,649 citations
This book highlights the physical processes of quantum mechanics, such as quantum interference, entanglement, and quantum teleportation, within the topic of quantum information and quantum computing.Quantal and Classical Coherence and Correlation begins with exploring the general mathematical and physical concepts of coherence and correlation and provides a comparative discussion of classical and quantum coherence and correlation. In this context, the author explains the principles of quantum information, and the discussion then moves to material coherence and optical coherence and their control. He then discusses the differences between classical and quantal information techniques. The book closes with a discussion on the application probabilities of quantum technologies by examining the present and future applications of coherence. This book is intended for upper‑level undergraduate and graduate physics and engineering students who are studying nonlinear optics, light–matter interaction, and quantum information; and industrial professionals who are involved in electronics and photonics. It will also be of interest to engineers who are involved in quantum information and quantum networks.
This textbook provides a physical understanding of what photons are and of their properties and applications. Special emphasis is made in the text to entangled photon pairs which exhibit quantum mechanical correlations over manifestly macroscopic distances. Such photon pairs make possible such exciting techniques as teleportation and quantum cryptography, as well as the physical realisation of Einstein-Podolsky-Rosen type experiments. In addition, nonclassical properties of light, such as photon antibunching and squeezing, as well as quantum phase measurement and optical tomography are discussed. The author describes relevant experiments and elucidates the physical ideas behind them. This book will be of interest to undergraduates and graduate students studying optics, and to any physicist with an interest in the mysteries of the photon and exciting modern work in quantum cryptography and teleportation.
Authored by a highly regarded international researcher and pioneer in the field, An Introduction to Quantum Optics: Photon and Biphoton Physics is a straightforward overview of basic principles and experimental evidence for the quantum theory of light. This book introduces and analyzes some of the most exciting experimental research to date in the field of quantum optics and quantum information, helping readers understand the revolutionary changes occurring in optical science. Paints a picture of light in terms of general quantum interference, to reflect the physical truth behind all optical observations Unlike most traditional books on the subject, this one introduces fundamental classical and quantum concepts and measurement techniques naturally and gradually as it explores the process of analyzing typical experimental observations. Separating itself from other books with this uncommon focus on the experimental part of analysis, this volume: Provides a general overview of the optical coherence of light without quantization Introduces concepts and tools of field quantization and quantum optics based on the principles and rules of quantum mechanics Analyzes similarities and differences between classical and quantum coherence Concentrates on key research topics in quantum optics Explains photon and biphoton physics by examining the devices and experimental procedures used to test theories This book is basic enough for students, but it also covers a broad range of higher-level concepts that will benefit scientists and other professionals seeking to enhance their understanding of practical and theoretical aspects and new experimental methods of measurement. This material summarizes exciting developments and observations and then helps readers of all levels apply presented concepts and tools to summarize, analyze, and resolve quantum optical problems in their own work. It is a great aid to improve methods of discovering new physics and better understand and apply nontraditional concepts and interpretations in both new and historical experimental discoveries.
The ideal text for a two-semester graduate course on quantum mechanics. Fresh, comprehensive, and clear, it strikes the optimal balance between covering traditional material and exploring contemporary topics. Focusing on the probabilistic structure of quantum mechanics and the central role of symmetries to unify principles, this textbook guides readers through the logical development of the theory. Students will also learn about the more exciting and controversial aspects of quantum theory, with discussions on past interpretations and the current debates on cutting-edge concepts such as quantum information and entanglement, open quantum systems, and quantum measurement theory. The book has two types of content: Type A material is more elementary and is fully self-contained, functioning like a separate book within the book, while Type B content is at the level of a graduate course. Requiring minimal physics background, this textbook is appropriate for mathematics and engineering students, in addition to physicists. Introducing cutting-edge topics in the field, the book features about 150 concept-checking questions, 300 homework problems and a solutions manual.
This book provides a comprehensive and organized study of quantum technology, focusing on principles, mathematical foundations, and practical realizations of quantum teleportation and other processes in the field of quantum information. It starts with the basic principles of quantum mechanics (wave-particle duality, for instance) superposition and measurement theory all helping as the theoretical backbone of current quantum science. In addition to these basics, we provide a concise introduction and discussion of quantum energy or the quantization of energy levels, energy eigenstates and Planck’s constant, which determines what happens in microscopic systems allowing quantum theory an overlap with data from physical observables. Building on these principles, the book introduces quantum states and quantum entanglement, highlighting their non-classical correlations and their crucial role in facilitating quantum communication protocols. This book also discusses quantum gates and quantum circuits as the units of quantum computation and how quantum information is computed and manipulated by using controlled unitary operations. Also, it discusses the impact of both quantum decoherence and environmental noise which pose significant difficulties to coherent quantum systems and dependable information transmission. It discusses methods of error correction and coherence . This book further expanded to quantum cryptography and secure communications with more importance on protocols like quantum key distribution which make use of quantum principles to provide provable security. Quantum computing architectures and algorithms are also measured and various physical implementations and computational models that strive to produce scalable quantum processors are outlined. Problems and limitations of quantum teleportation are critically examined and these are, reliability issues, channel losses, scaling, and resource limitations. Lastly, the book ends by outlining the future of quantum technology, investigating the new technologies and opportunities, the possible advances, and the revolutionary use of quantum technologies in the fields of computation, communication and secure information processing.
This book introduces quantum computing and quantum communications at the undergraduate level for students in the physical sciences, engineering, and mathematics, assuming no prior knowledge of quantum mechanics. It is a self-contained guide assuming only that the reader is familiar with physics at the college level, calculus (up to and including ordinary differential equations), and some matrix algebra and complex numbers. The book brings the reader up to speed with fundamental concepts in quantum information processing and builds a working knowledge of basic quantum algorithms, quantum error correction, and quantum communication protocols. It covers various models of quantum computation and some of the most common physical realizations of qubits. There is a good number of practice problems and exercises that rely on computer programming with the Qiskit language. The book can be used to prepare students of physics, mathematics, electrical and computer engineering, computer science, optics and photonics, and mathematics for internships and research experiences in quantum information processing, both during and after their undergraduate studies. It also helps those who plan to apply to graduate school and do research in this area. Key Features: Self-contained coverage of quantum computing and quantum communications, from the motivations to the fundamentals and applications, including key concepts and contemporary topics. Contains practice problems and exercises, including some that require programming in Qiskit (the python-based, high-level language for programming quantum computers, adopted by nearly all quantum hardware providers and completely open source). Very light background knowledge assumed, making this book accessible to a variety of majors in the natural sciences, engineering, and mathematics.
This book provides an elementary introduction to the subject of quantum optics, the study of the quantum mechanical nature of light and its interaction with matter. The presentation is almost entirely concerned with the quantized electromagnetic field. Topics covered include single-mode field quantization in a cavity, quantization of multimode fields, quantum phase, coherent states, quasi-probability distribution in phase space, atom-field interactions, the Jaynes-Cummings model, quantum coherence theory, beam splitters and interferometers, dissipative interactions, nonclassical field states with squeezing etc., 'Schrödinger cat' states, tests of local realism with entangled photons from down-conversion, experimental realizations of cavity quantum electrodynamics, trapped ions, decoherence, and some applications to quantum information processing, particularly quantum cryptography. The book contains many homework problems and an extensive bibliography. This text is designed for upper-level undergraduates taking courses in quantum optics who have already taken a course in quantum mechanics, and for first and second year graduate students.