Results 31 to 40 of about 131 (121)
A Comparison of Implications in Orthomodular Quantum Logic—Morphological Analysis of Quantum Logic
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 Morphological operators are generalized to lattices as adjunction pairs (Serra, 1984; Ronse, 1990; Heijmans and Ronse, 1990; Heijmans, 1994). In particular, morphology for set lattices is applied to analyze logics through Kripke semantics (Bloch, 2002; Fujio and Bloch, 2004; Fujio, 2006).
Mitsuhiko Fujio, Shigeru Kanemitsu
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On Quantum-MV Algebras - Part I: The Orthomodular Algebras
Scientific Annals of Computer Science, 2021 We prove that almost all the properties of quantum-MV algebras are verified by orthomodular algebras, the new algebras introduced in a previous paper. We put a special insight on transitive antisymmetric orthomodular (taOM) algebras, generalizations of ...
Afrodita Iorgulescu
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Commutators in Orthomodular Lattices
Demonstratio Mathematica, 1985 The author introduces the notions of a ''commutator'' for a possibly infinite set of elements M of an orthomodular lattice L and ''partial compatible'' (p.c.) for M with respect to some element \(a\in C(M)\) such that \(\{\) \(m\wedge a|\) \(m\in M\}\) is Boolean. If M is p.c. for \(a\in L\) then \(a\leq com(M)\) and CC(M) is p.c.
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An Intrinsic Topology for Orthomodular Lattices [PDF]
International Journal of Theoretical Physics, 2007 Under submission to the International Journal of Theoretical ...
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Modularity, Atomicity and States in Archimedean Lattice Effect Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2010 Effect algebras are a generalization of many structures which arise in quantum physics and in mathematical economics. We show that, in every modular Archimedean atomic lattice effect algebra E that is not an orthomodular lattice there exists an (o ...
Jan Paseka
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Matrix Semantics for Classical Logic: The Case of the Lattice O6
Bulletin of the Section of LogicIt is well established that classical propositional logic is Boolean. However, this view has recently been challenged. In their paper Non-Orthomodular Models for Both Standard Quantum Logic and Standard Classical Logic: Repercussions for Quantum ...
Ela Drozdowska
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Orthomodular Lattices and a Quantum Algebra
International Journal of Theoretical Physics, 2001 We show that one can formulate an algebra with lattice ordering so as to contain one quantum and five classical operations as opposed to the standard formulation of the Hilbert space subspace algebra. The standard orthomodular lattice is embeddable into the algebra.
Megill, Norman D., Pavičić, Mladen
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Two Remarks to Bifullness of Centers of Archimedean Atomic Lattice Effect Algebras
Acta Polytechnica, 2011 Lattice effect algebras generalize orthomodular lattices as well as MV-algebras. This means that within lattice effect algebras it is possible to model such effects as unsharpness (fuzziness) and/or non-compatibility. The main problem is the existence of
M. Kalina
doaj
Quantum logic automata generalizing the edge of chaos in complex systems
Frontiers in Complex SystemsBackgroundHistorically, although researchers in the science of complex systems proposed the idea of the edge of chaos and/or self-organized criticality as the essential feature of complex organization, they were not able to generalize this concept ...
Yukio Pegio Gunji +3 more
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Structural Entanglement from Interaction-Induced Fixed Points
EntropyWe introduce a lattice-theoretic framework for composite information systems in which tensor-like composition and entanglement are defined without presupposing Hilbert spaces or quantum states.
Yukio-Pegio Gunji, Andrei Khrennikov
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