Entangled State Representations in Quantum Optics

Entangled State Representations in Quantum Optics
Author: Xiang-Guo Meng
Publisher: Springer Nature
Total Pages: 289
Release: 2023-07-17
Genre: Science
ISBN: 9819923336

This book highlights the applications of continuous-variable entangled state representations in the research areas of quantum optics via the integration method within an ordered product of operators (IWOP). As a way to develop the Dirac’s symbolic method, the IWOP method has made the integration of non-commutative operators possible by arranging non-commutable operators within an ordered product symbol. It not only deals with many existent quantum optics problems but also explores new research fields. The book also establishes a theoretical framework for solving important quantum optics subjects by taking full advantage of the entangled state representations. With original methods and detailed descriptions, the book is suitable for researchers, instructors, and students interested in quantum mechanics, quantum optics, and quantum information science.

Geometry of Quantum States

Geometry of Quantum States
Author: Ingemar Bengtsson
Publisher: Cambridge University Press
Total Pages: 637
Release: 2017-08-18
Genre: Science
ISBN: 1108293492

Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; in-depth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen–Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' non-additivity theorem. This richly-illustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.

An Introduction to Quantum Optics

An Introduction to Quantum Optics
Author: Yanhua Shih
Publisher: CRC Press
Total Pages: 443
Release: 2020-12-16
Genre: Science
ISBN: 1000292738

This book offers a complete revision for its introduction to the quantum theory of light, including notable developments as well as improvements in presentation of basic theory and concepts, with continued emphasis on experimental aspects. The author provides a thorough overview on basic methods of classical and quantum mechanical measurements in quantum optics, enabling readers to analyze, summarize, and resolve quantum optical problems. The broad coverage of concepts and tools and its practical, experimental emphasis set it apart from other available resources. New discussions of timely topics such as the concept of the photon and distinguishability bring the entire contents up to date. Key Features: Provides a complete update of a classic textbook for the field. Features many new topics, including optical coherence, coherent and incoherent imaging, turbulence-free interferometry. Includes new chapters for intensity fluctuation correlation and thermal light ghost imaging, and biphoton imaging. Offers a complete overhaul of the introductory theory to give a more coherent and thorough treatment. Expands on discussions of optical tests of quantum theory, Popper’s experiment, Einstein’s locality questions, and the delayed choice quantum eraser.

Quantum Optics For Experimentalists

Quantum Optics For Experimentalists
Author: Zheyu Jeff Ou
Publisher: World Scientific Publishing Company
Total Pages: 431
Release: 2017-05-30
Genre: Science
ISBN: 9813220228

This book on quantum optics is from the point of view of an experimentalist. It approaches the theory of quantum optics with the language of optical modes of classical wave theory, with which experimentalists are most familiar. This approach makes the transition easy from classical optics to quantum optics. The emphasis on the multimode description of an optical system is more realistic than in most quantum optics textbooks. After the theoretical part, the book goes directly to the two most basic experimental techniques in quantum optics and establishes the connection between the experiments and the theory. The applications include some key quantum optics experiments, and a few more current interests that deal with quantum correlation and entanglement, quantum noise in phase measurement and amplification, and quantum state measurement.

Quantum Information Theory

Quantum Information Theory
Author: Mark Wilde
Publisher: Cambridge University Press
Total Pages: 673
Release: 2013-04-18
Genre: Computers
ISBN: 1107034256

A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.

Quantum Optics

Quantum Optics
Author: Girish S. Agarwal
Publisher: Cambridge University Press
Total Pages: 509
Release: 2013
Genre: Science
ISBN: 1107006406

Ideal for graduate courses on quantum optics, this textbook provides an up-to-date account of the basic principles and applications. It features end-of-chapter exercises with solutions available for instructors at www.cambridge.org/9781107006409. It is invaluable to both graduate students and researchers in physics and photonics, quantum information science and quantum communications.

Quantum Teleportation and Entanglement

Quantum Teleportation and Entanglement
Author: Akira Furusawa
Publisher: John Wiley & Sons
Total Pages: 335
Release: 2011-05-03
Genre: Science
ISBN: 3527635297

Unique in that it is jointly written by an experimentalist and a theorist, this monograph presents universal quantum computation based on quantum teleportation as an elementary subroutine and multi-party entanglement as a universal resource. Optical approaches to measurement-based quantum computation are also described, including schemes for quantum error correction, with most of the experiments carried out by the authors themselves. Ranging from the theoretical background to the details of the experimental realization, the book describes results and advances in the field, backed by numerous illustrations of the authors' experimental setups. Aimed at researchers, physicists, and graduate and PhD students in physics, theoretical quantum optics, quantum mechanics, and quantum information.

Quantum Optics for Beginners

Quantum Optics for Beginners
Author: Zbigniew Ficek
Publisher: CRC Press
Total Pages: 342
Release: 2016-04-19
Genre: Mathematics
ISBN: 9814411760

Atomic correlations have been studied in physics for over 50 years and known as collective effects until recently when they came to be recognized as a source of entanglement. This is the first book that contains detailed and comprehensive analysis of two currently extensively studied subjects of atomic and quantum physics-atomic correlations and th

Quantum Information Meets Quantum Matter

Quantum Information Meets Quantum Matter
Author: Bei Zeng
Publisher: Springer
Total Pages: 372
Release: 2019-03-28
Genre: Computers
ISBN: 1493990845

This book approaches condensed matter physics from the perspective of quantum information science, focusing on systems with strong interaction and unconventional order for which the usual condensed matter methods like the Landau paradigm or the free fermion framework break down. Concepts and tools in quantum information science such as entanglement, quantum circuits, and the tensor network representation prove to be highly useful in studying such systems. The goal of this book is to introduce these techniques and show how they lead to a new systematic way of characterizing and classifying quantum phases in condensed matter systems. The first part of the book introduces some basic concepts in quantum information theory which are then used to study the central topic explained in Part II: local Hamiltonians and their ground states. Part III focuses on one of the major new phenomena in strongly interacting systems, the topological order, and shows how it can essentially be defined and characterized in terms of entanglement. Part IV shows that the key entanglement structure of topological states can be captured using the tensor network representation, which provides a powerful tool in the classification of quantum phases. Finally, Part V discusses the exciting prospect at the intersection of quantum information and condensed matter physics – the unification of information and matter. Intended for graduate students and researchers in condensed matter physics, quantum information science and related fields, the book is self-contained and no prior knowledge of these topics is assumed.

Quantum Optics

Quantum Optics
Author: Anthony Mark Fox
Publisher: Oxford University Press, USA
Total Pages: 397
Release: 2006-04-27
Genre: Science
ISBN: 0198566727

Written primarily for advanced undergraduate and Master's level students in physics, this text includes a broad range of topics in applied quantum optics such as laser cooling, Bose-Einstein condensation and quantum information processing.