This book provides an introduction to the basic ideas and concepts of quantum computation and information for both undergraduate and graduate students. The book starts with the quantum bits and the entangled states which turn out to bring revolutionary ideas in information theory. This book is self-contained and unified in its description of the cross-disciplinary nature of this field. The book aims to provide intuitive and transparent ideas of the subjects, and is not strictly mathematical. Quantum mechanics and mathematical tools (especially, number theory) are explained with many examples and illustrations. The students can obtain practical problem-solving ability by solving the exercises at the end of each chapter. Detailed solutions to all problems are provided at the end of the book.
Endoscopy has had a major impact in the development of modern gastroenterology and other medical specialties. The field of endoscopic procedure has developed over the last decade. By using different data it provided a better understanding of pathogenic mechanisms, described new entities and used for early detection, diagnostic procedures and therapeutic procedures. The advantages of many technical advances and modern-endoscopic equipments, endoscopy has had a developed spectacularly. Furthermore, endoscopy has surpassed its function as an examination tool and it became a rapid and efficient therapeutic tool of low invasiveness. The efficacy and usefulness of endoscopy has yet been established.
This expanded version to the 2010 edition features quantum annealing algorithm and its application for optimization problems. Recent progress on quantum computing, especially, advanced topics such as Shor's algorithm, quantum search, quantum cryptography and architecture of quantum bit are also included.Book is self-contained and unified in its description of the cross-disciplinary nature of this field. It is not strictly mathematical, but aims to provide intuitive and transparent ideas of the subjects. The book starts from basic quantum mechanics and EPR pair and its measurements. Fundamental concepts of classical computer are given in order to extend it to quantum computer. Classical information theory is also explained in detail such as Shannon and Von Neumann entropy. Then quantum algorithm is introduced starting from Dutch-Josza and ending up with Shor's factorization algorithms. Quantum cryptography is also introduced such as BB84 Protocol, B92 protocol and E91 protocol. Eventually quantum search algorithm is explained.In summary, the book starts from basic quantum mechanics and eventually comes up to state-of-the art quantum algorithm of quantum computations and computers. Students can obtain practical problem-solving ability by attempting the exercises at the end of each chapter. Detailed solutions to all problems are provided.
This book provides an introduction to the basic ideas and concepts of quantum computation and information for both undergraduate and graduate students. The book starts with the quantum bits and the entangled states which turn out to bring revolutionary ideas in information theory. This book is self-contained and unified in its description of the cross-disciplinary nature of this field. The book aims to provide intuitive and transparent ideas of the subjects, and is not strictly mathematical. Quantum mechanics and mathematical tools (especially, number theory) are explained with many examples and illustrations. The students can obtain practical problem-solving ability by solving the exercises at the end of each chapter. Detailed solutions to all problems are provided at the end of the book.
Infinite-dimensional analysis and quantum probability have undergone significant developments in the last few years and created many applications. This volume includes four expository articles on recent developments in quantum field theory, quantum stochastic differential equations, free probability and quantum white noise calculus, which are targeted also for graduate study. The fourteen research papers deal with most of the current topics, and their interconnections reflect a vivid development in interacting Fock space, infinite-dimensional groups, stochastic independence, non-commutative central limit theorems, stochastic geometry, and so on.
This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding.
In the near future, many parts of the world will suffer from a shortage of freshwater. Effective use of seawater in concrete production could therefore become a crucial technology. Seawater in Concrete Mix provides a detailed overview of the fundamental knowledge of concrete engineering that is essential for the usage of seawater-mixed concrete. According to the worldwide standard for reinforced concrete (RC), freshwater is typically used in concrete mixing rather than seawater. Yet a potential exists for the extensive use of seawater in concrete, especially with the addition of ground granulated blast-furnace slag, fly ash, or other mineral admixtures. The recent trend toward performance-based design makes this alternative more viable. The text is ideal for graduate students, researchers, concrete engineers, and all civil engineers who deal with concrete for infrastructure. Hidenori Hamada is Professor of Kyushu University, Japan. Nobuaki Otsuki is Professor Emeritus of Tokyo Institute of Technology and was Chairman of the JCI Technical Committee on the use of seawater in concrete. Takahiro Nishida is Senior Researcher of the Japanese National Institute of Maritime, Port and Aviation Technology.
This book is designed as a concise introduction to the recent achievements on spectral analysis of graphs or networks from the point of view of quantum (or non-commutative) probability theory. The main topics are spectral distributions of the adjacency matrices of finite or infinite graphs and their limit distributions for growing graphs. The main vehicle is quantum probability, an algebraic extension of the traditional probability theory, which provides a new framework for the analysis of adjacency matrices revealing their non-commutative nature. For example, the method of quantum decomposition makes it possible to study spectral distributions by means of interacting Fock spaces or equivalently by orthogonal polynomials. Various concepts of independence in quantum probability and corresponding central limit theorems are used for the asymptotic study of spectral distributions for product graphs.This book is written for researchers, teachers, and students interested in graph spectra, their (asymptotic) spectral distributions, and various ideas and methods on the basis of quantum probability. It is also useful for a quick introduction to quantum probability and for an analytic basis of orthogonal polynomials.
Infinite-dimensional analysis and quantum probability have undergone significant developments in the last few years and created many applications. The fourteen research papers deal with most of the current topics, and their interconnections reflect a vivid development in interacting Fock space, infinite-dimensional groups, stochastic independence, non-commutative central limit theorems, stochastic geometry, and so on. Contents: Mathematical Theory of Quantum Particles Interacting with a Quantum Field (A Arai); H-P Quantum Stochastic Differential Equations (F Fagnola); Quantum White Noise Calculus (U C Ji & N Obata); Can "Quantumness" Be an Origin of Dissipation? (T Arimitsu); What Is Stochastic Independence? (U Franz); Creation-Annihilation Processes on Cellar Complecies (Y Hashimoto); Fock Space and Representation of Some Infinite-Dimensional Groups (T Matsui & Y Shimada); Free Product Actions and Their Applications (Y Ueda); Remarks on the s-Free Convolution (H Yoshida); and other papers. Readership: Researchers and graduate students in analysis & differential equations, probability & statistics, mathematical physics and quantum physics.
This volume highlights recent developments of stochastic analysis with a wide spectrum of applications, including stochastic differential equations, stochastic geometry, and nonlinear partial differential equations.While modern stochastic analysis may appear to be an abstract mixture of classical analysis and probability theory, this book shows that, in fact, it can provide versatile tools useful in many areas of applied mathematics where the phenomena being described are random. The geometrical aspects of stochastic analysis, often regarded as the most promising for applications, are specially investigated by various contributors to the volume.
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