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Quantum Physics

Title: Operational quantum logic: An overview

Abstract: The term quantum logic has different connotations for different people, having been considered as everything from a metaphysical attack on classical reasoning to an exercise in abstract algebra. Our aim here is to give a uniform presentation of what we call operational quantum logic, highlighting both its concrete physical origins and its purely mathematical structure. To orient readers new to this subject, we shall recount some of the historical development of quantum logic, attempting to show how the physical and mathematical sides of the subject have influenced and enriched one another.
Comments: 32 pages; Rewritten version of the introductory chapter to the volume 'Current Research in Operational Quantum Logic: Algebras, Categories, Languages', Fundamental Theories of Physics 111, Kluwer Academic Publishers (2000); updated 1-5-2001
Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph); Logic (math.LO)
Journal reference: In: Current Research in Operational Quantum Logic: Algebras, Categories, Languages' (Eds. B. Coecke, D.J. Moore and A. Wilce) pp.1-36, Fundamental Theories of Physics 111, Kluwer Academic Publishers (2000)
Cite as: arXiv:quant-ph/0008019
  (or arXiv:quant-ph/0008019v2 for this version)

Submission history

From: Bob Coecke [view email]
[v1] Thu, 3 Aug 2000 15:26:32 GMT (33kb)
[v2] Tue, 1 May 2001 20:12:16 GMT (33kb)