quantum logic

LOGIQUE QUANTIQUE ET INTRICATION (pages 303-318)

Submitted by logos on Tue, 09/30/2014 - 07:36
paper title: 

LOGIQUE QUANTIQUE ET INTRICATION (pages 303-318)

paper type: 
article
paper author: 

Pierre UZAN

paper author family name: 

UZAN

paper abstract: 

ABSTRACT: Due to the failure of the classical principles of bivalence and verifunctionality, the logic of experimental propositions relative to quantum systems cannot be interpreted in Boolean algebras. However, we cannot say neither that this logic is captured by orthomodular lattices, as claimed by many authors along the line of Birkhoff’s and von Neumann’s standard approach. For the alleged violation of distributivity is based on the possibility of combining statements relative to complementary contexts, which does not refer to any experience and, consequently, has no meaning. Indeed, quantum logic should be interpreted in partial, transitive Boolean algebras whose compatibility relation limits the application of the connectives within each of its Boolean sub-algebras, which refer to partial, classical descriptions. Moreover, this approach of quantum logic makes it possible to deal with composite systems, which was not possible to do within the standard approach, and then to deal with the fundamental notion of quantum entanglement. The latter notion can be represented by a series of axioms of the object language that restrict the set of experimental statements bearing on a composite system, while its close link to the notion of complementarity can be expressed in the metalanguage.          

paper issue: 
17

QUANTUM VS. CLASSICAL LOGIC: THE REVISIONIST APPROACH (pages 579-590)

Submitted by logos on Fri, 12/28/2012 - 10:55
paper title: 

QUANTUM VS. CLASSICAL LOGIC: THE REVISIONIST APPROACH (pages 579-590)

paper type: 
article
paper author: 

Gabriel TÂRZIU

paper author family name: 

TÂRZIU

paper abstract: 

ABSTRACT: Quantum logic can be understood in two ways: as a study of the algebraic structures that appear in the context of the Hilbert space formalism of quantum mechanics; or as representing a non-classical logic in conflict with classical logic. My aim in this paper is to analyze the possibility to sustain, at least in principle, a revisionist approach to quantum logic, i.e. a position according to which quantum logic is ‘the real logic’ which should be adopted instead of classical logic.

paper issue: 
10

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