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Current Research in Operational Quantum Logic : Algebras, Categories, Languages - Bob Coecke

Current Research in Operational Quantum Logic

Algebras, Categories, Languages

By: Bob Coecke (Editor), David Moore (Editor), Alexander Wilce (Editor)

Hardcover Published: 31st March 2000
ISBN: 9780792362586
Number Of Pages: 325

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The present volume has its origins in a pair of informal workshops held at the Free University of Brussels, in June of 1998 and May of 1999, named "Current Research 1 in Operational Quantum Logic". These brought together mathematicians and physicists working in operational quantum logic and related areas, as well as a number of interested philosophers of science, for a rare opportunity to discuss recent developments in this field. After some discussion, it was decided that, rather than producing a volume of conference proceedings, we would try to organize the conferees to produce a set of comprehensive survey papers, which would not only report on recent developments in quantum logic, but also provide a tutorial overview of the subject suitable for an interested non-specialist audience. The resulting volume provides an overview of the concepts and methods used in current research in quantum logic, viewed both as a branch of mathemati­ cal physics and as an area of pure mathematics. The first half of the book is concerned with the algebraic side of the subject, and in particular the theory of orthomodular lattices and posets, effect algebras, etc. In the second half of the book, special attention is given to categorical methods and to connections with theoretical computer science. At the 1999 workshop, we were fortunate to hear three excellent lectures by David J. Foulis, represented here by two contributions. Dave's work, spanning 40 years, has helped to define, and continues to reshape, the field of quantum logic.

Introduction
Operational quantum logic: An overviewp. 1
Algebras
Algebraic aspects of orthomodular latticesp. 37
Observables in the logico-algebraic approachp. 67
Test spaces and orthoalgebrasp. 81
Representations on unigroupsp. 115
Free extensions of group actions, induced representations, and the foundations of physicsp. 139
Categories
Short introduction to enriched categoriesp. 167
Operational Galois adjunctionsp. 195
Operational axiomatics and compound systemsp. 219
Quantalesp. 245
Languages
Quantales and observational semanticsp. 263
Quantum languagesp. 289
Indices
Concept indexp. 311
Citation indexp. 317
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780792362586
ISBN-10: 0792362586
Series: Fundamental Theories of Physics
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 325
Published: 31st March 2000
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 2.06
Weight (kg): 0.65

Earn 542 Qantas Points
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