Entangled State Representations In Quantum Optics

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Entangled State Representations In Quantum Optics

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Author : Xiang-Guo Meng
language : en
Publisher: Springer Nature
Release Date : 2023-07-17

Entangled State Representations In Quantum Optics written by Xiang-Guo Meng and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-17 with Science categories.

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.

Open Questions In Cosmology

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Author : Gonzalo J. Olmo
language : en
Publisher: BoD – Books on Demand
Release Date : 2012-11-12

Open Questions In Cosmology written by Gonzalo J. Olmo and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Science categories.

In the last years we have witnessed how the field of Cosmology has experienced a metamorphosis. From being essentially the search for three numbers (the expansion rate, the deceleration parameter, and the cosmological constant), it has become a precision science. This scientific discipline is determined to unravel the most minute details of the elementary processes that took place during the most primitive stages of the Universe and also of the mechanisms driving the cosmic expansion and the growth of structures at the largest scales. To achieve these goals one needs not only the development of new experimental and observational techniques but also a deep understanding of the underlying theoretical frameworks. This book gathers the work of leading experts in these fields and provides a broad view of some of the most relevant open questions faced by Cosmology at the beginning of the twenty-first century.

Graphs And Geometry

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Author : László Lovász
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-08-28

Graphs And Geometry written by László Lovász and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-28 with Mathematics categories.

Graphs are usually represented as geometric objects drawn in the plane, consisting of nodes and curves connecting them. The main message of this book is that such a representation is not merely a way to visualize the graph, but an important mathematical tool. It is obvious that this geometry is crucial in engineering, for example, if you want to understand rigidity of frameworks and mobility of mechanisms. But even if there is no geometry directly connected to the graph-theoretic problem, a well-chosen geometric embedding has mathematical meaning and applications in proofs and algorithms. This book surveys a number of such connections between graph theory and geometry: among others, rubber band representations, coin representations, orthogonal representations, and discrete analytic functions. Applications are given in information theory, statistical physics, graph algorithms and quantum physics. The book is based on courses and lectures that the author has given over the last few decades and offers readers with some knowledge of graph theory, linear algebra, and probability a thorough introduction to this exciting new area with a large collection of illuminating examples and exercises.

Quantum Computation And Quantum Information Theory

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Author : Chiara Macchiavello
language : en
Publisher: World Scientific
Release Date : 2000

Quantum Computation And Quantum Information Theory written by Chiara Macchiavello and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.

Quantum Entanglement Manipulation - Quantum Algorithms - Quantum Complexity - Quantum Error Correction - Quantum Channels - Entanglement Purification and Long-Distance Quantum Communication - Quantum Key Distribution - Cavity Quantum Electrodynamics - Quantum Computation with Ion Traps - Josephson Junctions and Quantum Computation - Quantum Computing in Optical Lattices - Quantum Computation and Quantum Communication with Electrons - NMR Quantum Computing.

4th Dimension And Human Volume 3

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Author : Prof. Dr. Bilal Semih Bozdemir
language : en
Publisher: Prof. Dr. Bilal Semih Bozdemir
Release Date :

4th Dimension And Human Volume 3 written by Prof. Dr. Bilal Semih Bozdemir and has been published by Prof. Dr. Bilal Semih Bozdemir this book supported file pdf, txt, epub, kindle and other format this book has been release on with Art categories.

4th Dimension and Human What is the 4th dimension? Time as the 4th dimension Relativity and the 4th dimension Spacetime and the 4th dimension Visualizing the 4th dimension The human experience of time Perception of time Memory and the 4th dimension Aging and the 4th dimension Time travel and the 4th dimension Dreams and the 4th dimension Altered states and the 4th dimension Death and the 4th dimension Consciousness and the 4th dimension The limits of human perception Expanding human senses Technology and the 4th dimension Virtual reality and the 4th dimension Augmented reality and the 4th dimension Artificial intelligence and the 4th dimension The future of human experience Quantum mechanics and the 4th dimension Strings and the 4th dimension Parallel universes and the 4th dimension Spirituality and the 4th dimension Mysticism and the 4th dimension Mythology and the 4th dimension Literature and the 4th dimension Art and the 4th dimension Music and the 4th dimension Philosophy and the 4th dimension The ethics of manipulating time The societal impact of the 4th dimension The scientific pursuit of the 4th dimension Challenges and limitations in 4th dimension research Potential breakthroughs in 4th dimension exploration The 4th dimension and the human condition The 4th dimension and the meaning of life Embracing the 4th dimension Preparing for the future of the 4th dimension Conclusion: The 4th dimension and the human experience

Quantum Computation And Quantum Information Theory Collected Papers And Notes

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Author : Chiara Macchiavello
language : en
Publisher: World Scientific
Release Date : 2001-01-17

Quantum Computation And Quantum Information Theory Collected Papers And Notes written by Chiara Macchiavello and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-17 with Science categories.

Quantum information theory has revolutionised our view on the true nature of information and has led to such intriguing topics as teleportation and quantum computation. The field — by its very nature strongly interdisciplinary, with deep roots in the foundations both of quantum mechanics and of information theory and computer science — has become a major subject for scientists working in fields as diverse as quantum optics, superconductivity or information theory, all the way to computer engineers.The aim of this book is to provide guidance and introduce the broad literature in all the various aspects of quantum information theory. The topics covered range from the fundamental aspects of the theory, like quantum algorithms and quantum complexity, to the technological aspects of the design of quantum-information-processing devices. Each section of the book consists of a selection of key papers (with particular attention to their tutorial value), chosen and introduced by leading scientists in the specific area. An entirely new introduction to quantum complexity has been specially written for the book.

Principles Of Laser Spectroscopy And Quantum Optics

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Author : Paul R. Berman
language : en
Publisher: Princeton University Press
Release Date : 2011-01-02

Principles Of Laser Spectroscopy And Quantum Optics written by Paul R. Berman and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-02 with Science categories.

Principles of Laser Spectroscopy and Quantum Optics is an essential textbook for graduate students studying the interaction of optical fields with atoms. It also serves as an ideal reference text for researchers working in the fields of laser spectroscopy and quantum optics. The book provides a rigorous introduction to the prototypical problems of radiation fields interacting with two- and three-level atomic systems. It examines the interaction of radiation with both atomic vapors and condensed matter systems, the density matrix and the Bloch vector, and applications involving linear absorption and saturation spectroscopy. Other topics include hole burning, dark states, slow light, and coherent transient spectroscopy, as well as atom optics and atom interferometry. In the second half of the text, the authors consider applications in which the radiation field is quantized. Topics include spontaneous decay, optical pumping, sub-Doppler laser cooling, the Heisenberg equations of motion for atomic and field operators, and light scattering by atoms in both weak and strong external fields. The concluding chapter offers methods for creating entangled and spin-squeezed states of matter. Instructors can create a one-semester course based on this book by combining the introductory chapters with a selection of the more advanced material. A solutions manual is available to teachers. Rigorous introduction to the interaction of optical fields with atoms Applications include linear and nonlinear spectroscopy, dark states, and slow light Extensive chapter on atom optics and atom interferometry Conclusion explores entangled and spin-squeezed states of matter Solutions manual (available only to teachers)

A Group Theoretic Approach To Quantum Information

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Author : Masahito Hayashi
language : en
Publisher: Springer
Release Date : 2016-10-31

A Group Theoretic Approach To Quantum Information written by Masahito Hayashi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-31 with Science categories.

This book is the first one addressing quantum information from the viewpoint of group symmetry. Quantum systems have a group symmetrical structure. This structure enables to handle systematically quantum information processing. However, there is no other textbook focusing on group symmetry for quantum information although there exist many textbooks for group representation. After the mathematical preparation of quantum information, this book discusses quantum entanglement and its quantification by using group symmetry. Group symmetry drastically simplifies the calculation of several entanglement measures although their calculations are usually very difficult to handle. This book treats optimal information processes including quantum state estimation, quantum state cloning, estimation of group action and quantum channel etc. Usually it is very difficult to derive the optimal quantum information processes without asymptotic setting of these topics. However, group symmetry allows to derive these optimal solutions without assuming the asymptotic setting. Next, this book addresses the quantum error correcting code with the symmetric structure of Weyl-Heisenberg groups. This structure leads to understand the quantum error correcting code systematically. Finally, this book focuses on the quantum universal information protocols by using the group SU(d). This topic can be regarded as a quantum version of the Csiszar-Korner's universal coding theory with the type method. The required mathematical knowledge about group representation is summarized in the companion book, Group Representation for Quantum Theory.

Decoherence Entanglement And Information Protection In Complex Quantum Systems

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Author : Vladimir M. Akulin
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-15

Decoherence Entanglement And Information Protection In Complex Quantum Systems written by Vladimir M. Akulin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-15 with Science categories.

This book is a collection of articles on the contemporary status of quantum mechanics, dedicated to the fundamental issues of entanglement, decoherence, irreversibility, information processing, and control of quantum evolution, with a view of possible applications. It has multidisciplinary character and is addressed at a broad readership in physics, computer science, chemistry, and electrical engineering. It is written by the world-leading experts in pertinent fields such as quantum computing, atomic, molecular and optical physics, condensed matter physics, and statistical physics.

Group Representation For Quantum Theory

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Author : Masahito Hayashi
language : en
Publisher: Springer
Release Date : 2016-11-18

Group Representation For Quantum Theory written by Masahito Hayashi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-18 with Science categories.

This book explains the group representation theory for quantum theory in the language of quantum theory. As is well known, group representation theory is very strong tool for quantum theory, in particular, angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, quark model, quantum optics, and quantum information processing including quantum error correction. To describe a big picture of application of representation theory to quantum theory, the book needs to contain the following six topics, permutation group, SU(2) and SU(d), Heisenberg representation, squeezing operation, Discrete Heisenberg representation, and the relation with Fourier transform from a unified viewpoint by including projective representation. Unfortunately, although there are so many good mathematical books for a part of six topics, no book contains all of these topics because they are too segmentalized. Further, some of them are written in an abstract way in mathematical style and, often, the materials are too segmented. At least, the notation is not familiar to people working with quantum theory. Others are good elementary books, but do not deal with topics related to quantum theory. In particular, such elementary books do not cover projective representation, which is more important in quantum theory. On the other hand, there are several books for physicists. However, these books are too simple and lack the detailed discussion. Hence, they are not useful for advanced study even in physics. To resolve this issue, this book starts with the basic mathematics for quantum theory. Then, it introduces the basics of group representation and discusses the case of the finite groups, the symmetric group, e.g. Next, this book discusses Lie group and Lie algebra. This part starts with the basics knowledge, and proceeds to the special groups, e.g., SU(2), SU(1,1), and SU(d). After the special groups, it explains concrete applications to physical systems, e.g., angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, and quark model. Then, it proceeds to the general theory for Lie group and Lie algebra. Using this knowledge, this book explains the Bosonic system, which has the symmetries of Heisenberg group and the squeezing symmetry by SL(2,R) and Sp(2n,R). Finally, as the discrete version, this book treats the discrete Heisenberg representation which is related to quantum error correction. To enhance readers' undersnding, this book contains 54 figures, 23 tables, and 111 exercises with solutions.