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Titlebook: Current Research in Operational Quantum Logic; Algebras, Categories Bob Coecke,David Moore,Alexander Wilce Book 2000 Springer Science+Busin

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发表于 2025-3-21 16:37:43 | 显示全部楼层 |阅读模式
书目名称Current Research in Operational Quantum Logic
副标题Algebras, Categories
编辑Bob Coecke,David Moore,Alexander Wilce
视频video
丛书名称Fundamental Theories of Physics
图书封面Titlebook: Current Research in Operational Quantum Logic; Algebras, Categories Bob Coecke,David Moore,Alexander Wilce Book 2000 Springer Science+Busin
描述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, spe
出版日期Book 2000
关键词Lattice; Mathematica; algebra; computer science; group action; logic; semantics
版次1
doihttps://doi.org/10.1007/978-94-017-1201-9
isbn_softcover978-90-481-5437-1
isbn_ebook978-94-017-1201-9Series ISSN 0168-1222 Series E-ISSN 2365-6425
issn_series 0168-1222
copyrightSpringer Science+Business Media Dordrecht 2000
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Mary Tudor: Renaissance Queen of Englandrch in computer science where this idea has been used. We extend the mathematical framework hitherto available so that it can be applied to more general systems than before, in particular to quantum systems and systems whose behaviour is partially unobservable.
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QuantalesIn this paper we survey aspects of the theory of quantales, starting from its connec-tion to locales and C*-algebras and finishing with recent developments involving the notions simplicity and spatiality.
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Jakub Sumbal,Zuzana Sumbalova Koledova (abbreviated OMLs) and modular ortholattices (abbreviated MOLs), not hiding our own research interests. Since most of the questions we deal with have their origin in Universal Algebra, we start with a section discussing the basic concepts and results of Universal Algebra without proofs. In the next
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https://doi.org/10.1007/978-1-0716-3674-9eating noncompatible events. In the logico-algebraic approach an observable is defined as a .-additive measure with values in a “quantum logic” (= with values in an abstract .-complete orthomodular poset). Though an individual observable ranges in a Boolean .-algebra, non-classical phenomena occur w
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Jakub Sumbal,Zuzana Sumbalova Koledova semantics for quantum logics and otherwise based on the notion of a . or, in more recent usage, a .. A test space is a collection A of non-empty sets, taken to represent the sets of outcomes associated with some collection of measurements, experiments or .. Subject to a fairly mild constraint, one
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https://doi.org/10.1007/978-1-0716-3674-9y. Conversely, most effect algebras that arise in practice are ., i.e., are isomorphic to effect algebras of the form G. [0, .]. The pair (G, .) is called a . iff every abelian group-valued measure on the interval effect-algebra G. [0, .] lifts to a (necessarily, unique) group homomorphism on G. An
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