The current quantity has its origins in a couple of casual workshops held on the unfastened collage of Brussels, in June of 1998 and should of 1999, named "Current examine 1 in Operational Quantum Logic". those introduced jointly mathematicians and physicists operating in operational quantum common sense and similar components, in addition to a few philosophers of technology, for a unprecedented chance to debate contemporary advancements during this box. After a few dialogue, it used to be made up our minds that, instead of generating a quantity of convention complaints, we'd try and manage the conferees to supply a collection of accomplished survey papers, which might not just record on fresh advancements in quantum good judgment, but in addition offer an instructional assessment of the topic appropriate for an non-specialist viewers. The ensuing quantity offers an outline of the innovations and techniques utilized in present learn in quantum common sense, seen either as a department of mathemati cal physics and as a space of natural arithmetic. the 1st 1/2 the publication is worried with the algebraic facet of the topic, and particularly the speculation of orthomodular lattices and posets, impression algebras, and so on. within the moment 1/2 the publication, designated cognizance is given to express equipment and to connections with theoretical machine technological know-how. on the 1999 workshop, we have been lucky to listen to 3 very good lectures by means of David J. Foulis, represented the following by way of contributions. Dave's paintings, spanning forty years, has helped to outline, and maintains to reshape, the sphere of quantum common sense.
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