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Quantum Information And Symmetry


Quantum Information And Symmetry
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A First Course On Symmetry Special Relativity And Quantum Mechanics


A First Course On Symmetry Special Relativity And Quantum Mechanics
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Author : Gabor Kunstatter
language : en
Publisher: Springer Nature
Release Date : 2020-10-19

A First Course On Symmetry Special Relativity And Quantum Mechanics written by Gabor Kunstatter and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-19 with Science categories.


This book provides an in-depth and accessible description of special relativity and quantum mechanics which together form the foundation of 21st century physics. A novel aspect is that symmetry is given its rightful prominence as an integral part of this foundation. The book offers not only a conceptual understanding of symmetry, but also the mathematical tools necessary for quantitative analysis. As such, it provides a valuable precursor to more focused, advanced books on special relativity or quantum mechanics. Students are introduced to several topics not typically covered until much later in their education.These include space-time diagrams, the action principle, a proof of Noether's theorem, Lorentz vectors and tensors, symmetry breaking and general relativity. The book also provides extensive descriptions on topics of current general interest such as gravitational waves, cosmology, Bell's theorem, entanglement and quantum computing. Throughout the text, every opportunity is taken to emphasize the intimate connection between physics, symmetry and mathematics.The style remains light despite the rigorous and intensive content. The book is intended as a stand-alone or supplementary physics text for a one or two semester course for students who have completed an introductory calculus course and a first-year physics course that includes Newtonian mechanics and some electrostatics. Basic knowledge of linear algebra is useful but not essential, as all requisite mathematical background is provided either in the body of the text or in the Appendices. Interspersed through the text are well over a hundred worked examples and unsolved exercises for the student.



Quantum Information With Continuous Variables Of Atoms And Light


Quantum Information With Continuous Variables Of Atoms And Light
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Author : Nicolas J Cerf
language : en
Publisher: World Scientific
Release Date : 2007-02-06

Quantum Information With Continuous Variables Of Atoms And Light written by Nicolas J Cerf and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-06 with Science categories.


Quantum information describes the new field which bridges quantum physics and information science. The quantum world allows for completely new architectures and protocols. While originally formulated in continuous quantum variables, the field worked almost exclusively with discrete variables, such as single photons and photon pairs. The renaissance of continuous variables came with European research consortia such as ACQUIRE (Advanced Coherent Quantum Information Research) in the late 1990s, and QUICOV (Quantum Information with Continuous Variables) from 2000-2003. The encouraging research results of QUICOV and the new conference series CVQIP (Continuous Variable Quantum Information Processing) triggered the idea for this book.This book presents the state of the art of quantum information with continuous quantum variables. The individual chapters discuss results achieved in QUICOV and presented at the first five CVQIP conferences from 2002-2006. Many world-leading scientists working on continuous variables outside Europe also contribute to the book./a



Quantum Information And Symmetry


Quantum Information And Symmetry
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Author : Wiesław Leoński
language : en
Publisher: MDPI
Release Date : 2020-06-03

Quantum Information And Symmetry written by Wiesław Leoński and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-03 with Mathematics categories.


Recent research in the fields related to the quantum information theory (QIT) is becoming some of the most intriguing and promising investigations in contemporary physics. Many novel QIT concepts are discussed in the literature, and the broad range of new models of quantum optics and solid-state physics have been recently considered in the context of QIT. Theideas of symmetry are widely discussed in all physical sciences, becoming keystones of various concepts and considerations, leading to novel discoveries in physics. Thus, this Special Issue is devoted to the broad range of QIT topics that are related to the ideas of symmetry. It covers a broad range of ideas that can develop upon the basic research and applications in the field of quantum information, and in general, quantum theory.



Symmetry And Quantum Mechanics


Symmetry And Quantum Mechanics
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Author : Scott Corry
language : en
Publisher: Chapman & Hall/CRC
Release Date : 2016-12

Symmetry And Quantum Mechanics written by Scott Corry and has been published by Chapman & Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12 with Quantum theory categories.


8.7.1 The hydrogen atom -- 8.8 Identical particles -- 9 Toward a Relativistic Theory -- 9.1 Galilean relativity -- 9.2 Special relativity -- 9.3 SL(sub[2])(C) is the universal cover of SO(sup[+]) (1, 3) -- 9.4 The Dirac equation -- Appendix A: Appendices -- A.1 Linear algebra -- A.1.1 Vector spaces and linear transformations -- A.1.2 Inner product spaces and adjoints -- A.2 Multivariable calculus -- A.3 Analysis -- A.3.1 Hilbert spaces and adjoints -- A.3.2 Some big theorems -- A.4 Solutions to selected exercises -- Bibliography -- Index



Physics And Mathematics Of Quantum Many Body Systems


Physics And Mathematics Of Quantum Many Body Systems
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Author : Hal Tasaki
language : en
Publisher: Springer Nature
Release Date : 2020-05-07

Physics And Mathematics Of Quantum Many Body Systems written by Hal Tasaki and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-07 with Technology & Engineering categories.


This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book’s main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.



Quantum Information And Quantum Computing


Quantum Information And Quantum Computing
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Author : Mikio Nakahara
language : en
Publisher: World Scientific
Release Date : 2013

Quantum Information And Quantum Computing written by Mikio Nakahara and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Computers categories.


The open research center project "Interdisciplinary fundamental research toward realization of a quantum computer" has been supported by the Ministry of Education, Japan for five years. This is a collection of the research outcomes by the members engaged in the project. To make the presentation self-contained, it starts with an overview by Mikio Nakahara, which serves as a concise introduction to quantum information and quantum computing. Subsequent contributions include subjects from physics, chemistry, mathematics, and information science, reflecting upon the wide variety of scientists working under this project. These contributions introduce NMR quantum computing and related techniques, number theory and coding theory, quantum error correction, photosynthesis, non-classical correlations and entanglement, neutral atom quantum computer, among others. Each of the contributions will serve as a short introduction to these cutting edge research fields.



The Theory Of Quantum Information


The Theory Of Quantum Information
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Author : John Watrous
language : en
Publisher:
Release Date : 2018-04-26

The Theory Of Quantum Information written by John Watrous and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-26 with Computers categories.


Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.



Physics From Symmetry


Physics From Symmetry
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Author : Jakob Schwichtenberg
language : en
Publisher: Springer
Release Date : 2015-06-04

Physics From Symmetry written by Jakob Schwichtenberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-04 with Science categories.


This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations.



Quantum Information Meets Quantum Matter


Quantum Information Meets Quantum Matter
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Author : Bei Zeng
language : en
Publisher: Springer
Release Date : 2019-03-29

Quantum Information Meets Quantum Matter written by Bei Zeng and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-29 with Computers categories.


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 Information And Symmetry


Quantum Information And Symmetry
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Author : Wiesław Leonski
language : en
Publisher:
Release Date : 2020

Quantum Information And Symmetry written by Wiesław Leonski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.


Recent research in the fields related to the quantum information theory (QIT) is becoming some of the most intriguing and promising investigations in contemporary physics. Many novel QIT concepts are discussed in the literature, and the broad range of new models of quantum optics and solid-state physics have been recently considered in the context of QIT. Theideas of symmetry are widely discussed in all physical sciences, becoming keystones of various concepts and considerations, leading to novel discoveries in physics. Thus, this Special Issue is devoted to the broad range of QIT topics that are related to the ideas of symmetry. It covers a broad range of ideas that can develop upon the basic research and applications in the field of quantum information, and in general, quantum theory.