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Fuzzy intuitionistic quantum logics
Studia Logica, 1993Fuzzy intuitionistic quantum logics, or Brouwer-Zadeh logics, have been introduced by the first author and \textit{G. Nistico} [Fuzzy Sets Syst. 33, 165-190 (1989; Zbl 0682.03036)]. In this model, which serves as standard version of quantum logic, the notion of negation is splitted into two forms: a fuzzy-like one and an intuitionistic one.
CATTANEO G +2 more
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1976
Strict analysis of quantum theory has shown that for certain propositions about quantum-mechanical systems some laws of logic lose their validity. This assertion is justified by pointing out that quantum mechanics is an empirically verified theory.
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Strict analysis of quantum theory has shown that for certain propositions about quantum-mechanical systems some laws of logic lose their validity. This assertion is justified by pointing out that quantum mechanics is an empirically verified theory.
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PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association, 1974
It has been shown by Birkhoff and v. Neumann (1936) and by Jauch and Piron (1963,1964,1968) that the subspaces of Hilbert space constitute an orthocomplemented quasi-modular lattice Lq, if one considers between two subspaces (elements) a, b the relation a⊆b and the operations a∩b, a∪b, a⊥.
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It has been shown by Birkhoff and v. Neumann (1936) and by Jauch and Piron (1963,1964,1968) that the subspaces of Hilbert space constitute an orthocomplemented quasi-modular lattice Lq, if one considers between two subspaces (elements) a, b the relation a⊆b and the operations a∩b, a∪b, a⊥.
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International Journal of Theoretical Physics, 1994
Let \(V\) be an \(h\)-fuzzy quantum logic for a normed generator \(h\) (\(h\) is a strictly increasing continuous mapping of the unit interval onto itself). Then \(V\) is a quantum logic. This result generalizes the previous result by \textit{J. Pykacz} [in the paper reviewed above].
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Let \(V\) be an \(h\)-fuzzy quantum logic for a normed generator \(h\) (\(h\) is a strictly increasing continuous mapping of the unit interval onto itself). Then \(V\) is a quantum logic. This result generalizes the previous result by \textit{J. Pykacz} [in the paper reviewed above].
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2018
The topic of quantum logic was introduced by Birkhoff and von Neumann (1936), who described the formal properties of a certain algebraic system associated with quantum theory. To avoid begging questions, it is convenient to use the term ‘logic’ broadly enough to cover any algebraic system with formal characteristics similar to the standard sentential ...
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The topic of quantum logic was introduced by Birkhoff and von Neumann (1936), who described the formal properties of a certain algebraic system associated with quantum theory. To avoid begging questions, it is convenient to use the term ‘logic’ broadly enough to cover any algebraic system with formal characteristics similar to the standard sentential ...
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Materials challenges for trapped-ion quantum computers
Nature Reviews Materials, 2021Kenneth R Brown +2 more
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