April 13, 2021

Download Ebook Free Handbook Of Quantum Logic And Quantum Structures

Handbook of Quantum Logic and Quantum Structures

Handbook of Quantum Logic and Quantum Structures
Author : Kurt Engesser,Dov M. Gabbay,Daniel Lehmann
Publisher : Elsevier
Release Date : 2011-08-11
Category : Computers
Total pages :818
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Since its inception in the famous 1936 paper by Birkhoff and von Neumann entitled “The logic of quantum mechanics quantum logic, i.e. the logical investigation of quantum mechanics, has undergone an enormous development. Various schools of thought and approaches have emerged and there are a variety of technical results. Quantum logic is a heterogeneous field of research ranging from investigations which may be termed logical in the traditional sense to studies focusing on structures which are on the border between algebra and logic. For the latter structures the term quantum structures is appropriate. The chapters of this Handbook, which are authored by the most eminent scholars in the field, constitute a comprehensive presentation of the main schools, approaches and results in the field of quantum logic and quantum structures. Much of the material presented is of recent origin representing the frontier of the subject. The present volume focuses on quantum structures. Among the structures studied extensively in this volume are, just to name a few, Hilbert lattices, D-posets, effect algebras MV algebras, partially ordered Abelian groups and those structures underlying quantum probability. - Written by eminent scholars in the field of logic - A comprehensive presentation of the theory, approaches and results in the field of quantum logic - Volume focuses on quantum structures

Quantum Measure Theory

Quantum Measure Theory
Author : Jan Hamhalter
Publisher : Springer Science & Business Media
Release Date : 2003-10-31
Category : Mathematics
Total pages :410
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This book is the first systematic treatment of measures on projection lattices of von Neumann algebras. It presents significant recent results in this field. One part is inspired by the Generalized Gleason Theorem on extending measures on the projection lattices of von Neumann algebras to linear functionals. Applications of this principle to various problems in quantum physics are considered (hidden variable problem, Wigner type theorems, decoherence functional, etc.). Another part of the monograph deals with a fascinating interplay of algebraic properties of the projection lattice with the continuity of measures (the analysis of Jauch-Piron states, independence conditions in quantum field theory, etc.). These results have no direct analogy in the standard measure and probability theory. On the theoretical physics side, they are instrumental in recovering technical assumptions of the axiomatics of quantum theories only by considering algebraic properties of finitely additive measures (states) on quantum propositions.

Logic and Algebraic Structures in Quantum Computing

Logic and Algebraic Structures in Quantum Computing
Author : Jennifer Chubb,Ali Eskandarian,Valentina Harizanov
Publisher : Cambridge University Press
Release Date : 2016-02-01
Category : Computers
Total pages :354
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Experts in the field explore the connections across physics, quantum logic, and quantum computing.

Reasoning in Quantum Theory

Reasoning in Quantum Theory
Author : Maria Luisa Dalla Chiara,Roberto Giuntini,Richard Greechie
Publisher : Springer Science & Business Media
Release Date : 2004-03-31
Category : Mathematics
Total pages :298
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"Is quantum logic really logic?" This book argues for a positive answer to this question once and for all. There are many quantum logics and their structures are delightfully varied. The most radical aspect of quantum reasoning is reflected in unsharp quantum logics, a special heterodox branch of fuzzy thinking. For the first time, the whole story of Quantum Logic is told; from its beginnings to the most recent logical investigations of various types of quantum phenomena, including quantum computation. Reasoning in Quantum Theory is designed for logicians, yet amenable to advanced graduate students and researchers of other disciplines.

Quantum Computation and Quantum Communication:

Quantum Computation and Quantum Communication:
Author : Mladen Pavicic
Publisher : Springer Science & Business Media
Release Date : 2006
Category : Computers
Total pages :221
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The field of quantum computing has experienced rapid development and many different experimental and theoretical groups have emerged worldwide.This book presents the key elements of quantum computation and communication theories and their implementation in an easy-to-read manner for readers coming from physics, mathematics and computer science backgrounds. Integrating both theoretical aspects and experimental verifications of developing quantum computers, the author explains why particular mathematical methods, physical models and realistic implementations might provide critical steps towards achieving the final goal - constructing quantum computers and quantum networks. The book serves as an excellent introduction for new researchers and also provides a useful review for specialists in the field.

Quantum Computation and Quantum Information

Quantum Computation and Quantum Information
Author : Michael A. Nielsen,Isaac L. Chuang,Isaac L.. Chuang
Publisher : Cambridge University Press
Release Date : 2000-10-23
Category : Computers
Total pages :676
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First-ever comprehensive introduction to the major new subject of quantum computing and quantum information.

Elements of Quantum Computing

Elements of Quantum Computing
Author : Seiki Akama
Publisher : Springer
Release Date : 2014-07-14
Category : Computers
Total pages :126
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A quantum computer is a computer based on a computational model which uses quantum mechanics, which is a subfield of physics to study phenomena at the micro level. There has been a growing interest on quantum computing in the 1990's and some quantum computers at the experimental level were recently implemented. Quantum computers enable super-speed computation and can solve some important problems whose solutions were regarded impossible or intractable with traditional computers. This book provides a quick introduction to quantum computing for readers who have no backgrounds of both theory of computation and quantum mechanics. “Elements of Quantum Computing” presents the history, theories and engineering applications of quantum computing. The book is suitable to computer scientists, physicists and software engineers.

Quantum Interaction

Quantum Interaction
Author : Dawei Song,Massimo Melucci,Ingo Frommholz,Peng Zhang,Lei Wang,Sachi Arafat
Publisher : Springer
Release Date : 2011-10-20
Category : Computers
Total pages :229
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This book constitutes the thoroughly refereed post-conference proceedings of the 5th International Symposium on Quantum Interaction, QI 2011, held in Aberdeen, UK, in June 2011. The 26 revised full papers and 6 revised poster papers, presented together with 1 tutorial and 1 invited talk were carefully reviewed and selected from numerous submissions during two rounds of reviewing and improvement. The papers show the cross-disciplinary nature of quantum interaction covering topics such as computation, cognition, mechanics, social interaction, semantic space and information representation and retrieval.

Quantum Information Theory and the Foundations of Quantum Mechanics

Quantum Information Theory and the Foundations of Quantum Mechanics
Author : Christopher G. Timpson
Publisher : Oxford University Press
Release Date : 2013-04-25
Category : Philosophy
Total pages :293
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Christopher G. Timpson provides the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. He argues for an ontologically deflationary account of the nature of quantum information, which is grounded in a revisionary analysis of the concepts of information.

Categories for Quantum Theory

Categories for Quantum Theory
Author : Chris Heunen,Jamie Vicary
Publisher : Oxford University Press
Release Date : 2019-11-14
Category : Mathematics
Total pages :320
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Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition, and a conceptual way to understand many high-level quantum phenomena. This text lays the foundation for this categorical quantum mechanics, with an emphasis on the graphical calculus which makes computation intuitive. Biproducts and dual objects are introduced and used to model superposition and entanglement, with quantum teleportation studied abstractly using these structures. Monoids, Frobenius structures and Hopf algebras are described, and it is shown how they can be used to model classical information and complementary observables. The CP construction, a categorical tool to describe probabilistic quantum systems, is also investigated. The last chapter introduces higher categories, surface diagrams and 2-Hilbert spaces, and shows how the language of duality in monoidal 2-categories can be used to reason about quantum protocols, including quantum teleportation and dense coding. Prior knowledge of linear algebra, quantum information or category theory would give an ideal background for studying this text, but it is not assumed, with essential background material given in a self-contained introductory chapter. Throughout the text links with many other areas are highlighted, such as representation theory, topology, quantum algebra, knot theory, and probability theory, and nonstandard models are presented, such as sets and relations. All results are stated rigorously, and full proofs are given as far as possible, making this book an invaluable reference for modern techniques in quantum logic, with much of the material not available in any other textbook.

Towards the Future of Fuzzy Logic

Towards the Future of Fuzzy Logic
Author : Rudolf Seising,Enric Trillas,Janusz Kacprzyk
Publisher : Springer
Release Date : 2015-05-26
Category : Computers
Total pages :376
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This book provides readers with a snapshot of the state-of-the art in fuzzy logic. Throughout the chapters, key theories developed in the last fifty years as well as important applications to practical problems are presented and discussed from different perspectives, as the authors hail from different disciplines and therefore use fuzzy logic for different purposes. The book aims at showing how fuzzy logic has evolved since the first theory formulation by Lotfi A. Zadeh in his seminal paper on Fuzzy Sets in 1965. Fuzzy theories and implementation grew at an impressive speed and achieved significant results, especially on the applicative side. The study of fuzzy logic and its practice spread all over the world, from Europe to Asia, America and Oceania. The editors believe that, thanks to the drive of young researchers, fuzzy logic will be able to face the challenging goals posed by computing with words. New frontiers of knowledge are waiting to be explored. In order to motivate young people to engage in the future development of fuzzy logic, fuzzy methodologies, fuzzy applications, etc., the editors invited a team of internationally respected experts to write the present collection of papers, which shows the present and future potentials of fuzzy logic from different disciplinary perspectives and personal standpoints.

The British National Bibliography

The British National Bibliography
Author : Arthur James Wells
Publisher : Unknown
Release Date : 2009
Category : Bibliography, National
Total pages :129
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The Logic of Quantum Mechanics:

The Logic of Quantum Mechanics:
Author : Enrico G. Beltrametti,Gianni Cassinelli,Gian-Carlo Rota
Publisher : Cambridge University Press
Release Date : 2010-12-09
Category : Mathematics
Total pages :336
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This volume examines the logic, theory and mathematics of quantum mechanics in a clear and thorough way.

Quantum Computing

Quantum Computing
Author : Eleanor G. Rieffel,Wolfgang H. Polak
Publisher : MIT Press
Release Date : 2011-03-04
Category : Computers
Total pages :372
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A thorough exposition of quantum computing and the underlying concepts of quantum physics, with explanations of the relevant mathematics and numerous examples.

Proceedings

Proceedings
Author : Anonim
Publisher : Unknown
Release Date : 2009
Category : Biology
Total pages :129
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