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Handbook Of Quantum Logic And Quantum Structures

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Handbook of Quantum Logic and Quantum Structures

Handbook of Quantum Logic and Quantum Structures Book
Author : Kurt Engesser,Dov M. Gabbay,Daniel Lehmann
Publisher : Elsevier
Release : 2011-08-11
ISBN : 9780080550381
Language : En, Es, Fr & De

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Book Description :

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

Reasoning in Quantum Theory

Reasoning in Quantum Theory Book
Author : Maria Luisa Dalla Chiara,Roberto Giuntini,Richard Greechie
Publisher : Springer Science & Business Media
Release : 2004-03-31
ISBN : 9781402019784
Language : En, Es, Fr & De

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Book Description :

"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  Book
Author : Mladen Pavicic
Publisher : Springer Science & Business Media
Release : 2006
ISBN : 9780387244129
Language : En, Es, Fr & De

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Book Description :

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.

Logic and Algebraic Structures in Quantum Computing

Logic and Algebraic Structures in Quantum Computing Book
Author : Jennifer Chubb,Ali Eskandarian,Valentina Harizanov
Publisher : Cambridge University Press
Release : 2016-02-01
ISBN : 110703339X
Language : En, Es, Fr & De

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Book Description :

Experts in the field explore the connections across physics, quantum logic, and quantum computing.

Quantum Measure Theory

Quantum Measure Theory Book
Author : Jan Hamhalter
Publisher : Springer Science & Business Media
Release : 2003-10-31
ISBN : 9781402017148
Language : En, Es, Fr & De

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Book Description :

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.

Quantum Interaction

Quantum Interaction Book
Author : Dawei Song,Massimo Melucci,Ingo Frommholz,Peng Zhang,Lei Wang,Sachi Arafat
Publisher : Springer
Release : 2011-10-20
ISBN : 364224971X
Language : En, Es, Fr & De

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Book Description :

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.

How Humans Recognize Objects Segmentation Categorization and Individual Identification

How Humans Recognize Objects  Segmentation  Categorization and Individual Identification Book
Author : Chris Fields
Publisher : Frontiers Media SA
Release : 2016-08-18
ISBN : 2889199401
Language : En, Es, Fr & De

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Book Description :

Human beings experience a world of objects: bounded entities that occupy space and persist through time. Our actions are directed toward objects, and our language describes objects. We categorize objects into kinds that have different typical properties and behaviors. We regard some kinds of objects – each other, for example – as animate agents capable of independent experience and action, while we regard other kinds of objects as inert. We re-identify objects, immediately and without conscious deliberation, after days or even years of non-observation, and often following changes in the features, locations, or contexts of the objects being re-identified. Comparative, developmental and adult observations using a variety of approaches and methods have yielded a detailed understanding of object detection and recognition by the visual system and an advancing understanding of haptic and auditory information processing. Many fundamental questions, however, remain unanswered. What, for example, physically constitutes an “object”? How do specific, classically-characterizable object boundaries emerge from the physical dynamics described by quantum theory, and can this emergence process be described independently of any assumptions regarding the perceptual capabilities of observers? How are visual motion and feature information combined to create object information? How are the object trajectories that indicate persistence to human observers implemented, and how are these trajectory representations bound to feature representations? How, for example, are point-light walkers recognized as single objects? How are conflicts between trajectory-driven and feature-driven identifications of objects resolved, for example in multiple-object tracking situations? Are there separate “what” and “where” processing streams for haptic and auditory perception? Are there haptic and/or auditory equivalents of the visual object file? Are there equivalents of the visual object token? How are object-identification conflicts between different perceptual systems resolved? Is the common assumption that “persistent object” is a fundamental innate category justified? How does the ability to identify and categorize objects relate to the ability to name and describe them using language? How are features that an individual object had in the past but does not have currently represented? How are categorical constraints on how objects move or act represented, and how do such constraints influence categorization and the re-identification of individuals? How do human beings re-identify objects, including each other, as persistent individuals across changes in location, context and features, even after gaps in observation lasting months or years? How do human capabilities for object categorization and re-identification over time relate to those of other species, and how do human infants develop these capabilities? What can modeling approaches such as cognitive robotics tell us about the answers to these questions? Primary research reports, reviews, and hypothesis and theory papers addressing questions relevant to the understanding of perceptual object segmentation, categorization and individual identification at any scale and from any experimental or modeling perspective are solicited for this Research Topic. Papers that review particular sets of issues from multiple disciplinary perspectives or that advance integrative hypotheses or models that take data from multiple experimental approaches into account are especially encouraged.

Algebraic Methods in General Rough Sets

Algebraic Methods in General Rough Sets Book
Author : A. Mani,Gianpiero Cattaneo,Ivo Düntsch
Publisher : Springer
Release : 2019-01-11
ISBN : 3030011623
Language : En, Es, Fr & De

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Book Description :

This unique collection of research papers offers a comprehensive and up-to-date guide to algebraic approaches to rough sets and reasoning with vagueness. It bridges important gaps, outlines intriguing future research directions, and connects algebraic approaches to rough sets with those for other forms of approximate reasoning. In addition, the book reworks algebraic approaches to axiomatic granularity. Given its scope, the book offers a valuable resource for researchers and teachers in the areas of rough sets and algebras of rough sets, algebraic logic, non classical logic, fuzzy sets, possibility theory, formal concept analysis, computational learning theory, category theory, and other formal approaches to vagueness and approximate reasoning. Consultants in AI and allied fields will also find the book to be of great practical value.

Handbook of Spatial Logics

Handbook of Spatial Logics Book
Author : Marco Aiello,Ian Pratt-Hartmann,Johan van Benthem
Publisher : Springer Science & Business Media
Release : 2007-09-04
ISBN : 1402055870
Language : En, Es, Fr & De

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Book Description :

The aim of this handbook is to create, for the first time, a systematic account of the field of spatial logic. The book comprises a general introduction, followed by fourteen chapters by invited authors. Each chapter provides a self-contained overview of its topic, describing the principal results obtained to date, explaining the methods used to obtain them, and listing the most important open problems. Jointly, these contributions constitute a comprehensive survey of this rapidly expanding subject.

The Concise Handbook of Algebra

The Concise Handbook of Algebra Book
Author : Aleksandr Vasilʹevich Mikhalev
Publisher : Springer Science & Business Media
Release : 2002
ISBN : 9780792370727
Language : En, Es, Fr & De

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Book Description :

Provides a succinct, but thorough treatment of algebra. In a collection that spans about 150 sections, organized in 9 chapters, algebraists are provided with a standard knowledge set for their areas of expertise.

Handbook of Molecular Physics and Quantum Chemistry 3 Volume Set

Handbook of Molecular Physics and Quantum Chemistry  3 Volume Set Book
Author : Stephen Wilson,Peter F. Bernath,Roy McWeeny
Publisher : Wiley-Blackwell
Release : 2003-03-07
ISBN :
Language : En, Es, Fr & De

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Book Description :

Published in three volumes, this comprehensive reference work brings together in a single source for the first time, a detailed presentation of the most important theoretical concepts and methods for the study of molecules and molecular systems. The logical format of the Handbook allows the reader to progress from the foundations of the field to the most important and exciting areas of current research. Edited and written by an outstanding international team, and containing over 100 articles written by more than 50 contributors, it will be invaluable for both the expert researcher and the graduate student or postdoctoral worker active in any of the broad range of fields where these concepts and methods are important. Comprises three themed volumes: * Fundamentals * Molecular Electronic Structure * Molecules in the Physico-Chemical Environment: Spectroscopy, Dynamics and Bulk Properties * Presents detailed articles covering the key topics, presented in a didactic manner * Focuses both on theory and the relation of experiment to theory Volume 1, Fundamentals presents the foundations of molecular physics and quantum chemistry. It consists of 7 parts arranged as follows:- Part 1 Introduction Part 2 Elements of Quantum Mechanics Part 3 Orbital Models for Atomic, Molecular and Crystal Structure Part 4 Symmetry Groups and Molecular Structure Part 5 Second Quantization and Many-Body Methods Part 6 Approximate Separation of Electronic and Nuclear Motion Part 7 Quantum Electrodynamics of Atoms and Molecules The central problem of molecular physics and quantum chemistry is the description of atomic and molecular electronic structure. The development of appropriate models for the description of the effects of electron correlation and of relativity are key components of the analysis. Volume 2, Molecular Electronic Structure, addresses these topics, and consists of 7 parts arranged as follows: Part 1 Approximation methods Part 2 Orbital Models and Generalized Product Functions Part 3 Electron correlation Part 4 Relativistic molecular electronic structure Part 5 Electronic structure of large molecules Part 6 Computational quantum chemistry Part 7 Visualization and interpretation of molecular electronic structure In reality no molecular system exists in isolation. Molecules interact with other atoms and molecules, and with their environment. Volume 3, Molecules in the Physico-Chemical Environment - Spectroscopy, Dynamics and Bulk Properties, consists of 7 parts arranged as follows:- Part 1 Response theory and propagator methods Part 2 Interactions between molecules Part 3 Molecules in different environments Part 4 Molecular Electronic spectra Part 5 Atomic Spectroscopy and Molecular Vibration-Rotation Spectroscopy Part 6 Molecular dynamics and dynamical processes Part 7 Bulk properties

Handbook of Computational Quantum Chemistry

Handbook of Computational Quantum Chemistry Book
Author : David B. Cook
Publisher : Courier Corporation
Release : 2005-08-02
ISBN : 0486443078
Language : En, Es, Fr & De

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Book Description :

This comprehensive text provides upper-level undergraduates and graduate students with an accessible introduction to the implementation of quantum ideas in molecular modeling, exploring practical applications alongside theoretical explanations. Topics include the Hartree-Fock method; matrix SCF equations; implementation of the closed-shell case; introduction to molecular integrals; and much more. 1998 edition.

Modern Projective Geometry

Modern Projective Geometry Book
Author : Claude-Alain Faure,Alfred Frölicher
Publisher : Boom Koninklijke Uitgevers
Release : 2000-09-30
ISBN : 9780792365259
Language : En, Es, Fr & De

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Book Description :

Projective geometry is a very classical part of mathematics and one might think that the subject is completely explored and that there is nothing new to be added. But it seems that there exists no book on projective geometry which provides a systematic treatment of morphisms. We intend to fill this gap. It is in this sense that the present monograph can be called modern. The reason why morphisms have not been studied much earlier is probably the fact that they are in general partial maps between the point sets G and G, noted ' 9 : G -- ~ G', i.e. maps 9 : D -4 G' whose domain Dom 9 := D is a subset of G. We give two simple examples of partial maps which ought to be morphisms. The first example is purely geometric. Let E, F be complementary subspaces of a projective geometry G. If x E G \ E, then g(x) := (E V x) n F (where E V x is the subspace generated by E U {x}) is a unique point of F, i.e. one obtains a map 9 : G \ E -4 F. As special case, if E = {z} is a singleton and F a hyperplane with z tf. F, then g: G \ {z} -4 F is the projection with center z of G onto F.

Handbook of Philosophical Logic

Handbook of Philosophical Logic Book
Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Release : 2002-05-31
ISBN : 9781402005831
Language : En, Es, Fr & De

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Book Description :

such questions for centuries (unrestricted by the capabilities of any hard ware). The principles governing the interaction of several processes, for example, are abstract an similar to principles governing the cooperation of two large organisation. A detailed rule based effective but rigid bureaucracy is very much similar to a complex computer program handling and manipulating data. My guess is that the principles underlying one are very much the same as those underlying the other. I believe the day is not far away in the future when the computer scientist will wake up one morning with the realisation that he is actually a kind of formal philosopher! The projected number of volumes for this Handbook is about 18. The subject has evolved and its areas have become interrelated to such an extent that it no longer makes sense to dedicate volumes to topics. However, the volumes do follow some natural groupings of chapters. I would like to thank our authors are readers for their contributions and their commitment in making this Handbook a success. Thanks also to our publication administrator Mrs J. Spurr for her usual dedication and excellence and to Kluwer Academic Publishers for their continuing support for the Handbook.

Handbook of Nanophase and Nanostructured Materials Materials systems and applications I

Handbook of Nanophase and Nanostructured Materials  Materials systems and applications I Book
Author : 王中林,Yi Liu,Ze Zhang
Publisher : 清华大学出版社有限公司
Release : 2003
ISBN : 9787302057345
Language : En, Es, Fr & De

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Book Description :

纳米相和纳米结构材料是纳米科学和纳米技术的基础,本书集中介绍和阐述了半导体纳米颗粒、半导体纳米线、磁性纳米晶体及其排列、纳米结构的软磁性材料、用于信息存储等纳米材料的应用。

Proceedings

Proceedings Book
Author : N.A
Publisher :
Release : 2009
ISBN :
Language : En, Es, Fr & De

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Book Description :

Orthomodular Lattices

Orthomodular Lattices Book
Author : Gudrun Kalmbach
Publisher :
Release : 1983
ISBN :
Language : En, Es, Fr & De

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Book Description :

This book has evolved from a set of lecture notes of a course on orthomodular lattices given at the University of Ulm. Most concepts are developed from their very first notions, but in some instances basic set theory and Hilbert space theory may be needed. The text is in general independent of the exercises and supplementary remarks. The book can be used for a general lecture on orthomodular lattices and also for seminars on special geometrical or logical topics. As the first monograph in the field it makes the widely spread results on orthomodular lattices more easily accessible for researchers.

Handbook of Nature Inspired and Innovative Computing

Handbook of Nature Inspired and Innovative Computing Book
Author : Albert Y. Zomaya
Publisher : Springer Science & Business Media
Release : 2006-01-10
ISBN : 9780387405322
Language : En, Es, Fr & De

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Book Description :

As computing devices proliferate, demand increases for an understanding of emerging computing paradigms and models based on natural phenomena. Neural networks, evolution-based models, quantum computing, and DNA-based computing and simulations are all a necessary part of modern computing analysis and systems development. Vast literature exists on these new paradigms and their implications for a wide array of applications. This comprehensive handbook, the first of its kind to address the connection between nature-inspired and traditional computational paradigms, is a repository of case studies dealing with different problems in computing and solutions to these problems based on nature-inspired paradigms. The "Handbook of Nature-Inspired and Innovative Computing: Integrating Classical Models with Emerging Technologies" is an essential compilation of models, methods, and algorithms for researchers, professionals, and advanced-level students working in all areas of computer science, IT, biocomputing, and network engineering.