Quantum Information Meets Quantum Matter

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Quantum Information Meets Quantum Matter

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Author : Bei Zeng
language : en
Publisher: Springer
Release Date : 2019-03-28

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 2019-03-28 with Technology & Engineering 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 Meets Quantum Matter

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Author : Bei Zeng (Ph. D.)
language : en
Publisher:
Release Date : 2019

Quantum Information Meets Quantum Matter written by Bei Zeng (Ph. D.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Electronic books 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.

Introduction To Topological Quantum Matter Quantum Computation

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Author : Tudor D. Stanescu
language : en
Publisher: CRC Press
Release Date : 2016-12-19

Introduction To Topological Quantum Matter Quantum Computation written by Tudor D. Stanescu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-19 with Science categories.

What is "topological" about topological quantum states? How many types of topological quantum phases are there? What is a zero-energy Majorana mode, how can it be realized in a solid state system, and how can it be used as a platform for topological quantum computation? What is quantum computation and what makes it different from classical computation? Addressing these and other related questions, Introduction to Topological Quantum Matter & Quantum Computation provides an introduction to and a synthesis of a fascinating and rapidly expanding research field emerging at the crossroads of condensed matter physics, mathematics, and computer science. Providing the big picture, this book is ideal for graduate students and researchers entering this field as it allows for the fruitful transfer of paradigms and ideas amongst different areas, and includes many specific examples to help the reader understand abstract and sometimes challenging concepts. It explores the topological quantum world beyond the well-known topological insulators and superconductors and emphasizes the deep connections with quantum computation. It addresses key principles behind the classification of topological quantum phases and relevant mathematical concepts and discusses models of interacting and noninteracting topological systems, such as the torric code and the p-wave superconductor. The book also covers the basic properties of anyons, and aspects concerning the realization of topological states in solid state structures and cold atom systems. Quantum computation is also presented using a broad perspective, which includes fundamental aspects of quantum mechanics, such as Bell's theorem, basic concepts in the theory of computation, such as computational models and computational complexity, examples of quantum algorithms, and elements of classical and quantum information theory.

Quantum Information

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Author : Dagmar Bruss
language : en
Publisher: John Wiley & Sons
Release Date : 2019-02-05

Quantum Information written by Dagmar Bruss and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-05 with Science categories.

This comprehensive textbook on the rapidly advancing field introduces readers to the fundamental concepts of information theory and quantum entanglement, taking into account the current state of research and development. It thus covers all current concepts in quantum computing, both theoretical and experimental, before moving on to the latest implementations of quantum computing and communication protocols. It contains problems and exercises and is therefore ideally suited for students and lecturers in physics and informatics, as well as experimental and theoretical physicists in academia and industry who work in the field of quantum information processing. The second edition incorporates important recent developments such as quantum metrology, quantum correlations beyond entanglement, and advances in quantum computing with solid state devices.

Applications And Principles Of Quantum Computing

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Author : Khang, Alex
language : en
Publisher: IGI Global
Release Date : 2024-01-31

Applications And Principles Of Quantum Computing written by Khang, Alex and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-31 with Science categories.

In a world driven by technology and data, classical computing faces limitations in tackling complex challenges like climate modeling and financial risk assessment. These barriers impede our aspirations to revolutionize industries and solve intricate real-world problems. To bridge this gap, we must embrace quantum computing. Edited by Alex Khang PH, Principles and Applications of Quantum Computing is a transformative solution to this challenge. It delves into the interdisciplinary realms of computer science, physics, and mathematics, unveiling the incredible potential of quantum computing, which outperforms supercomputers by 158 million times. This technology, rooted in quantum mechanics, offers solutions to global problems and opens new frontiers in AI, cybersecurity, finance, drug development, and more. By engaging with this book, you become a pioneer in the quantum revolution, contributing to reshaping the limits of what's achievable in our digital age.

Time Emergences And Communications

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Author : Bernard Dugué
language : en
Publisher: John Wiley & Sons
Release Date : 2018-04-16

Time Emergences And Communications written by Bernard Dugué and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-16 with Science categories.

This book presents an attempt to understand emergences in various situations where material components interact by coordinating their actions to "make system" with emerging properties (or functions) accessible to experimental investigation. I will endeavor to show that communications play a decisive role in these processes. A strategy will be implemented. If communications are so important, then we must show that they are an essential property of matter. This justifies the detailed analyses on the quantum world developed in the first five chapters. Also includes a study of the strange property of entanglement as well as an interpretation of the chemical bonds which cannot be circumvented in order to understand the functioning of complex systems; Living cells and animals. So the strategy consolidates as much as possible the physical foundations and the understanding of the primordial matter and then passing to the realities based on very large numbers of elementary components.

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.

New Trends And Platforms For Quantum Technologies

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Author : Ramón Aguado
language : en
Publisher: Springer Nature
Release Date : 2024-09-30

New Trends And Platforms For Quantum Technologies written by Ramón Aguado and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-30 with Science categories.

This book serves as a comprehensive introduction to quantum computing platforms, inspired by recent advancements in quantum technologies aimed at detecting and manipulating single quantum objects. Encompassing solid-state, atomic, and optical platforms, it delves into various aspects of quantum computing, including topological quantum computing. The content covers the fabrication, modeling, and numerical implementation of quantum circuits, such as Josephson junctions and qubits, along with hybrid nanostructures. Additionally, the book introduces quantum entanglement, a crucial concept for quantum communication and information processes. The well-compiled topics and concise presentation position the book as a primer for courses on quantum technologies.

Geometry Of Quantum States

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Author : Ingemar Bengtsson
language : en
Publisher: Cambridge University Press
Release Date : 2017-08-18

Geometry Of Quantum States written by Ingemar Bengtsson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-18 with Mathematics categories.

This new edition describes the space of quantum states and the theory of quantum entanglement from a geometric perspective.

Modern Condensed Matter Physics

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Author : Steven M. Girvin
language : en
Publisher: Cambridge University Press
Release Date : 2019-02-28

Modern Condensed Matter Physics written by Steven M. Girvin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-28 with Science categories.

Comprehensive and accessible coverage from the basics to advanced topics in modern quantum condensed matter physics.