Results 51 to 60 of about 1,603 (177)
Quantum axiomatics and a theorem of M.P. Soler [PDF]
, 2000 Three of the traditional quantum axioms (orthocomplementation, orthomodularity and the covering law) show incompatibilities with two products introduced by Aerts for the description of joint entities.
Aerts, Diederik, Van Steirteghem, Bart
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An axiomatic basis for quantum mechanics
, 2015 In this paper we use the framework of generalized probabilistic theories to present two sets of basic assumptions, called axioms, for which we show that they lead to the Hilbert space formulation of quantum mechanics.
Cassinelli, Gianni, Lahti, Pekka
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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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Categorical Equivalence Between Orthomodular Dynamic Algebras and Complete Orthomodular Lattices [PDF]
International Journal of Theoretical Physics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kohei Kishida +3 more
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A presentation of Quantum Logic based on an "and then" connective
, 2007 When a physicist performs a quantic measurement, new information about the system at hand is gathered. This paper studies the logical properties of how this new information is combined with previous information.
Lehmann, Daniel
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Pattern Recognition In Non-Kolmogorovian Structures
, 2017 We present a generalization of the problem of pattern recognition to arbitrary probabilistic models. This version deals with the problem of recognizing an individual pattern among a family of different species or classes of objects which obey ...
Freytes, Hector +3 more
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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
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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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, 2010 There are five known classes of lattice equations that hold in every infinite dimensional Hilbert space underlying quantum systems: generalised orthoarguesian, Mayet's E_A, Godowski, Mayet-Godowski, and Mayet's E equations. We obtain a result which opens
A.R. Swift +29 more
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Implication in Weakly and Dually Weakly Orthomodular Lattices [PDF]
, 2020 Ivan Chajda, Helmut Länger
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