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Current Research in Operational Quantum Logic: Algebras, Categories, Languages / Edition 1

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Overview

This edited volume gives an overview of the concepts and methods used in current research in quantum logic, viewed both as an operational physical theory and in terms of purely mathematical structure. Far from being simply a collation of research papers, it consists of 11 specially commissioned essays that, taken together, provide both an introduction to quantum logic and an overview of current research in this subject. The contributors, who include some of the most distinguished names in the field, discuss topics ranging from the algebraic theory of orthomodular lattices to recent applications of category-theoretic methods and connections with theoretical computer science. Moreover, an historical overview of the field and an extensive citation and concept index are included.
Audience: This volume, dedicated to D.J. Foulis in honour of his seminal contributions to quantum logic, should interest pure mathematicians, theoretical physicists, computer scientists and philosophers of science.

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Editorial Reviews

Booknews
Gives an overview of concepts and methods used in current research in quantum logic, viewed both as an operational physical theory and in terms of purely mathematical structure. Eleven specially commissioned essays provide both an introduction to quantum logic and an overview of research, discussing topics such as algebraic theory of orthomodular lattices, applications of category-theoretic methods, and connections with theoretical computer science. Chapters are in parts on algebras, categories, and languages. For pure mathematicians, theoretical physicists, computer scientists, and philosophers of science. Coecke is affiliated with Free University of Brussels. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780792362586
  • Publisher: Springer Netherlands
  • Publication date: 3/31/2000
  • Series: Fundamental Theories of Physics Series , #111
  • Edition description: 2000
  • Edition number: 1
  • Pages: 328
  • Product dimensions: 0.88 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

Introduction. Operational quantum logic: An overview; B. Coecke, et al. I: Algebras. Algebraic aspects of orthomodular lattices; G. Bruns, J. Harding. Observables in the logico-algebraic approach; P. Pták. Test spaces and orthoalgebras; A. Wilce. Representations on unigroups; D.J. Foulis. Free extensions of group actions, induced representations, and the foundations of physics; D.J. Foulis, A. Wilce. II: Categories. Short introduction to enriched categories; F. Borceux, I. Stubbe. Operational Galois adjunctions; B. Coecke, D. Moore. Operational axiomatics and compound systems; F. Valckenborgh. Quantales; J. Paseka, J. Rosický. III: Languages. Quantales and observational semantics; P. Resende. Quantum languages; S. Gudder. Indices. Concept index. Citation index.

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