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Handbook of Quantum Logic and

Handbook of Quantum Logic and
Quantum Structures

by Kurt Engesser,Dov M. Gabbay,Daniel Lehmann

  • Publisher : Elsevier Science Limited
  • Release : 2007
  • Pages : 801
  • ISBN : 9780444528704
  • Language : En, Es, Fr & De
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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

Handbook of Quantum Logic and Quantum Structures

Handbook of Quantum Logic and Quantum Structures
Quantum Structures

by Kurt Engesser,Dov M. Gabbay,Daniel Lehmann

  • Publisher : Elsevier
  • Release : 2011-08-11
  • Pages : 818
  • ISBN : 9780080550381
  • Language : En, Es, Fr & De
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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

Handbook of Quantum Logic and Quantum Structures: Quantum Logic

Handbook of Quantum Logic and Quantum Structures: Quantum Logic
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2009
  • Pages : 715
  • ISBN : 9780444528698
  • Language : En, Es, Fr & De
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Logic and Algebraic Structures in Quantum Computing

Logic and Algebraic Structures in Quantum Computing
A Book

by Jennifer Chubb,Ali Eskandarian,Valentina Harizanov

  • Publisher : Cambridge University Press
  • Release : 2016-02-01
  • Pages : 354
  • ISBN : 110703339X
  • Language : En, Es, Fr & De
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Experts in the field explore the connections across physics, quantum logic, and quantum computing.

Multiple Valued Logic

Multiple Valued Logic
Concepts and Representations

by D. Michael Miller,Mitchell Aaron Thornton

  • Publisher : Morgan & Claypool Publishers
  • Release : 2008
  • Pages : 135
  • ISBN : 1598291904
  • Language : En, Es, Fr & De
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Multiple Valued Logic: Concepts and Representations begins with a survey of the use ofmultiple-valued logic in several modern application areas including electronic design automation algorithms and circuit design. The mathematical basis and concepts of various algebras and systems of multiple valued logic are provided including comparisons among various systems and examples of their application. The book also provides an examination of alternative representations of multiple-valued logic suitable for implementation as data structures in automated computer applications. Decision diagram structures for multiple valued applications are described in detail with particular emphasis on the recently developed quantum multiple valued decision diagram.Table of Contents: Multiple Valued Logic Applications / MVL Concepts and Algebra / Functional Representations / Reversible andQuantum Circuits / Quantum Multiple-Valued Decision Diagrams / Summary / Bibliography

High-Level Structures for Quantum Computing

High-Level Structures for Quantum Computing
A Book

by Jaroslaw Miszczak

  • Publisher : Morgan & Claypool Publishers
  • Release : 2012-06-01
  • Pages : 129
  • ISBN : 1608458520
  • Language : En, Es, Fr & De
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This book is concerned with the models of quantum computation. Information processing based on the rules of quantum mechanics provides us with new opportunities for developing more efficient algorithms and protocols. However, to harness the power offered by quantum information processing it is essential to control the behavior of quantum mechanical objects in a precise manner. As this seems to be conceptually difficult at the level of quantum states and unitary gates, high-level quantum programming languages have been proposed for this purpose. The aim of this book is to provide an introduction to abstract models of computation used in quantum information theory. Starting from the abstract models of Turing machine and finite automata, we introduce the models of Boolean circuits and Random Access Machine and use them to present quantum programming techniques and quantum programming languages. Table of Contents: Introduction / Turing machines / Quantum Finite State Automata / Computational Circuits / Random Access Machines / Quantum Programming Environment / Quantum Programming Languages / Imperative quantum programming / Functional Quantum Programming / Outlook

Logic, Language, Information, and Computation

Logic, Language, Information, and Computation
20th International Workshop, WoLLIC 2013, Darmstadt, Germany, August 20-23, 2013, Proceedings

by Leonid Libkin,Ulrich Kohlenbach,Ruy de Queiroz

  • Publisher : Springer
  • Release : 2013-08-15
  • Pages : 283
  • ISBN : 3642399924
  • Language : En, Es, Fr & De
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Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 20th Workshop on Logic, Language, Information and Communication, WoLLIC 2013, held in Darmstadt, Germany, in August 2013. The 17 contributed papers presented together with 6 invited lectures were carefully reviewed and selected from 30 submissions. The scope of the workshop spans the theoretical and practical aspects of formal logic, computing and programming theory, and natural language and reasoning.

Hyperintensionality and Normativity

Hyperintensionality and Normativity
A Book

by Federico L. G. Faroldi

  • Publisher : Springer
  • Release : 2019-03-28
  • Pages : 231
  • ISBN : 3030034879
  • Language : En, Es, Fr & De
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Presenting the first comprehensive, in-depth study of hyperintensionality, this book equips readers with the basic tools needed to appreciate some of current and future debates in the philosophy of language, semantics, and metaphysics. After introducing and explaining the major approaches to hyperintensionality found in the literature, the book tackles its systematic connections to normativity and offers some contributions to the current debates. The book offers undergraduate and graduate students an essential introduction to the topic, while also helping professionals in related fields get up to speed on open research-level problems.

Decision Making and Modelling in Cognitive Science

Decision Making and Modelling in Cognitive Science
A Book

by Sisir Roy

  • Publisher : Springer
  • Release : 2016-10-26
  • Pages : 165
  • ISBN : 813223622X
  • Language : En, Es, Fr & De
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This book discusses the paradigm of quantum ontology as an appropriate model for measuring cognitive processes. It clearly shows the inadequacy of the application of classical probability theory in modelling the human cognitive domain. The chapters investigate the context dependence and neuronal basis of cognition in a coherent manner. According to this framework, epistemological issues related to decision making and state of mind are seen to be similar to issues related to equanimity and neutral mind, as discussed in Buddhist perspective. The author states that quantum ontology as a modelling tool will help scientists create new methodologies of modelling in other streams of science as well.

Computational Intelligence and Mathematics for Tackling Complex Problems

Computational Intelligence and Mathematics for Tackling Complex Problems
A Book

by László T Kóczy,Jesús Medina-Moreno,Eloísa Ramírez-Poussa,Alexander Šostak

  • Publisher : Springer
  • Release : 2019-05-02
  • Pages : 200
  • ISBN : 3030160246
  • Language : En, Es, Fr & De
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This book combines computational intelligence and mathematics to solve theoretical and real-world problems. The real challenges of engineering and other applied sciences, e.g. economics and management, the social sciences, etc., and even everyday life, are increasingly raising complex problems – both in the usual sense, but also in the mathematical and theoretical computer science sense, which is referred to as intractability. Finding exact solutions to the latest problems in mathematics is impossible, and it has been also shown that no further technical advance will ever make it possible to find general and exact solutions to such complex problems. Rather, the goal is to find solutions that are “good enough” or “acceptably accurate,” including models and corresponding algorithms, which is most often achieved by combining traditional mathematical techniques and computational intelligence tools, such as fuzzy systems, evolutionary and memetic algorithms, and artificial neural networks. Consequently, international funding programs, such as the European Commission’s current framework program for research and innovation (Horizon 2020), and the preliminary research team building COST Actions, are devoted to developing new instruments for tackling the challenges that we face in the current technological age. And it goes without saying that research topics concerning the interactions between computational intelligence and traditional mathematics play a key role in overcoming the obstacles associated with the intractability of complex problems. In this book, mathematicians, engineers, and other scientists highlight novel methodological results connecting these two main research areas, and focusing on solving real-life problems.

Georgian Christian Thought and Its Cultural Context

Georgian Christian Thought and Its Cultural Context
Memorial Volume for the 125th Anniversary of Shalva Nutsubidze (1888-1969).

by Tamar Nutsubidze,Cornelia B. Horn,Basil Lourié

  • Publisher : BRILL
  • Release : 2014-03-13
  • Pages : 406
  • ISBN : 9004264272
  • Language : En, Es, Fr & De
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The volume contains contributions dedicated to the personality and the work of Shalva Nutsubidze, Christian Orient from the fifth to the seventh century, Georgian eleventh century, the Neoplatonic philosopher Ioane Petritsi and his epoch and Shota Rustaveli and mediaeval Georgian culture.

Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations

Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations
17th International Conference, IPMU 2018, Cádiz, Spain, June 11-15, 2018, Proceedings, Part I

by Jesús Medina,Manuel Ojeda-Aciego,José Luis Verdegay,David A. Pelta,Inma P. Cabrera,Bernadette Bouchon-Meunier,Ronald R. Yager

  • Publisher : Springer
  • Release : 2018-05-30
  • Pages : 806
  • ISBN : 3319914731
  • Language : En, Es, Fr & De
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This three volume set (CCIS 853-855) constitutes the proceedings of the 17th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2017, held in Cádiz, Spain, in June 2018. The 193 revised full papers were carefully reviewed and selected from 383 submissions. The papers are organized in topical sections on advances on explainable artificial intelligence; aggregation operators, fuzzy metrics and applications; belief function theory and its applications; current techniques to model, process and describe time series; discrete models and computational intelligence; formal concept analysis and uncertainty; fuzzy implication functions; fuzzy logic and artificial intelligence problems; fuzzy mathematical analysis and applications; fuzzy methods in data mining and knowledge discovery; fuzzy transforms: theory and applications to data analysis and image processing; imprecise probabilities: foundations and applications; mathematical fuzzy logic, mathematical morphology; measures of comparison and entropies for fuzzy sets and their extensions; new trends in data aggregation; pre-aggregation functions and generalized forms of monotonicity; rough and fuzzy similarity modelling tools; soft computing for decision making in uncertainty; soft computing in information retrieval and sentiment analysis; tri-partitions and uncertainty; decision making modeling and applications; logical methods in mining knowledge from big data; metaheuristics and machine learning; optimization models for modern analytics; uncertainty in medicine; uncertainty in Video/Image Processing (UVIP).

Quantum Interaction

Quantum Interaction
5th International Symposium, QI 2011, Aberdeen, UK, June 26-29, 2011, Revised Selected Papers

by Dawei Song,Massimo Melucci,Ingo Frommholz,Peng Zhang,Lei Wang,Sachi Arafat

  • Publisher : Springer
  • Release : 2011-10-20
  • Pages : 229
  • ISBN : 364224971X
  • Language : En, Es, Fr & De
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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.

Algebra and Coalgebra in Computer Science

Algebra and Coalgebra in Computer Science
5th International Conference, CALCO 2013, Warsaw, Poland, September 3-6, 2013, Proceedings

by Reiko Heckel,Stefan Milius

  • Publisher : Springer
  • Release : 2013-08-27
  • Pages : 359
  • ISBN : 3642402062
  • Language : En, Es, Fr & De
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This book constitutes the refereed proceedings of the 5th International Conference on Algebra and Coalgebra in Computer Science, CALCO 2013, held in Warsaw, Poland, in September 2013. The 18 full papers presented together with 4 invited talks were carefully reviewed and selected from 33 submissions. The papers cover topics in the fields of abstract models and logics, specialized models and calculi, algebraic and coalgebraic semantics, system specification and verification, as well as corecursion in programming languages, and algebra and coalgebra in quantum computing. The book also includes 6 papers from the CALCO Tools Workshop, co-located with CALCO 2013 and dedicated to tools based on algebraic and/or coalgebraic principles.

Symmetry in Mathematics and Physics

Symmetry in Mathematics and Physics
Conference in Honor of V.S. Varadarajan's Birthday, January 18-20, 2008, University of California, Los Angeles, California

by Donald G. Babbitt,Vyjayanthi Chari,Rita Fioresi

  • Publisher : American Mathematical Soc.
  • Release : 2009-07-10
  • Pages : 250
  • ISBN : 0821847317
  • Language : En, Es, Fr & De
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The articles in this volume mainly grew out of talks given at a Conference held at UCLA in January 2008, which honored V. S. Varadarajan on his 70th birthday. The main theme of the Conference was symmetry in mathematics and physics, areas of mathematics and mathematical physics in which Varadarajan has made significant contributions during the past 50 years. Very early in his career he also worked and made significant contributions in the areas of probability and the foundations of quantum mechanics. Topics covered by the articles in this volume are probability, quantum mechanics, symmetry (broadly interpreted in mathematics and physics), finite and infinite dimensional Lie groups and Lie algebras and their representations, super Lie groups and supergeometry (relatively new but active and important fields at the interface between mathematics and physics), and supersymmetry. The latter topic takes on a special importance since one of the first experiments at the Large Hadron Collider at CERN will be a test of whether supersymmetry exists in the world of elementary particles. A reprint of an exposition of supersymmetry by one of its founders, B. Zumino, appears in this volume.

Information Technology, Systems Research, and Computational Physics

Information Technology, Systems Research, and Computational Physics
A Book

by Piotr Kulczycki,Janusz Kacprzyk,László T. Kóczy,Radko Mesiar,Rafal Wisniewski

  • Publisher : Springer
  • Release : 2019-04-17
  • Pages : 384
  • ISBN : 3030180581
  • Language : En, Es, Fr & De
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This book highlights a broad range of modern information technology tools, techniques, investigations and open challenges, mainly with applications in systems research and computational physics. Divided into three major sections, it begins by presenting specialized calculation methods in the framework of data analysis and intelligent computing. In turn, the second section focuses on application aspects, mainly for systems research, while the final section investigates how various tasks in the basic disciplines—mathematics and physics—can be tackled with the aid of contemporary IT methods. The book gathers selected presentations from the 3rd Conference on Information Technology, Systems Research and Computational Physics (ITSRCP'18), which took place on 2–5 July 2018 in Krakow, Poland. The intended readership includes interdisciplinary scientists and practitioners pursuing research at the interfaces of information technology, systems research, and computational physics.

From Classical Mechanics To Quantum Field Theory, A Tutorial

From Classical Mechanics To Quantum Field Theory, A Tutorial
A Book

by Ercolessi Elisa,Moretti Valter,Asorey Manuel

  • Publisher : World Scientific
  • Release : 2020-01-14
  • Pages : 256
  • ISBN : 9811210500
  • Language : En, Es, Fr & De
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This book collects an extended version of the lectures delivered by the authors at the Fall Workshop on Geometry and Physics in the years 2014, 2015, 2016.It aims at introducing advanced graduate and PhD students, as well as young researchers, to current research in mathematics and physics. In particular, it fills the gap between the more physical-oriented and the more mathematical-oriented literature on quantum theory. It introduces various approaches to methods of quantization, along with their impact on modern mathematical methods.

Reason, causation and compatibility with the phenomena

Reason, causation and compatibility with the phenomena
A Book

by Basil Evangelidis

  • Publisher : Vernon Press
  • Release : 2020-01-24
  • Pages : 207
  • ISBN : 162273775X
  • Language : En, Es, Fr & De
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'Reason, Causation and Compatibility with the Phenomena' strives to give answers to the philosophical problem of the interplay between realism, explanation and experience. This book is a compilation of essays that recollect significant conceptions of rival terms such as determinism and freedom, reason and appearance, power and knowledge. This title discusses the progress made in epistemology and natural philosophy, especially the steps that led from the ancient theory of atomism to the modern quantum theory, and from mathematization to analytic philosophy. Moreover, it provides possible gateways from modern deadlocks of theory either through approaches to consciousness or through historical critique of intellectual authorities. This work will be of interest to those either researching or studying in colleges and universities, especially in the departments of philosophy, history of science, philosophy of science, philosophy of physics and quantum mechanics, history of ideas and culture. Greek and Latin Literature students and instructors may also find this book to be both a fascinating and valuable point of reference.

Quantum Physics and Linguistics

Quantum Physics and Linguistics
A Compositional, Diagrammatic Discourse

by Chris Heunen,Mehrnoosh Sadrzadeh,Edward Grefenstette

  • Publisher : Oxford University Press
  • Release : 2013-02-21
  • Pages : 409
  • ISBN : 0199646295
  • Language : En, Es, Fr & De
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An interdisciplinary attempt to bring together physicists and linguists who use the same compositional mathematical methods. Although seemingly unrelated, due to the complexity and dynamics of the compound phenomena they aim to model, and also advances in their high level methods, these fields have come to share a common mathematical structure.

Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering

Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering
An Approach Based on Symmetry and Similarity

by Jaime Nava,Vladik Kreinovich

  • Publisher : Springer
  • Release : 2014-10-18
  • Pages : 155
  • ISBN : 3662449552
  • Language : En, Es, Fr & De
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This book demonstrates how to describe and analyze a system's behavior and extract the desired prediction and control algorithms from this analysis. A typical prediction is based on observing similar situations in the past, knowing the outcomes of these past situations, and expecting that the future outcome of the current situation will be similar to these past observed outcomes. In mathematical terms, similarity corresponds to symmetry, and similarity of outcomes to invariance. This book shows how symmetries can be used in all classes of algorithmic problems of sciences and engineering: from analysis to prediction to control. Applications cover chemistry, geosciences, intelligent control, neural networks, quantum physics, and thermal physics. Specifically, it is shown how the approach based on symmetry and similarity can be used in the analysis of real-life systems, in the algorithms of prediction, and in the algorithms of control.