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Connecting the free energy principle with quantum cognition [PDF]
Frontiers in Neurorobotics, 2022 It appears that the free energy minimization principle conflicts with quantum cognition since the former adheres to a restricted view based on experience while the latter allows deviations from such a restricted view.
Yukio-Pegio Gunji +2 more
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Topological duality for orthomodular lattices
Mathematical Logic Quarterly, Volume 69, Issue 2, Page 174-191, May 2023., 2023 Abstract A class of ordered relational topological spaces is described, which we call orthomodular spaces. Our construction of these spaces involves adding a topology to the class of orthomodular frames introduced by Hartonas, along the lines of Bimbó's topologization of the class of orthoframes employed by Goldblatt in his representation of ...
Joseph McDonald, Katalin Bimbó
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Between quantum logic and concurrency [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We start from two closure operators defined on the elements of a special kind of partially ordered sets, called causal nets. Causal nets are used to model histories of concurrent processes, recording occurrences of local states and of events. If every
Luca Bernardinello +2 more
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Modularity, Atomicity and States in Archimedean Lattice Effect Algebras [PDF]
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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Classical Logic and Quantum Logic with Multiple and Common Lattice Models
Advances in Mathematical Physics, 2016 We consider a proper propositional quantum logic and show that it has multiple disjoint lattice models, only one of which is an orthomodular lattice (algebra) underlying Hilbert (quantum) space.
Mladen Pavičić
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Roughness in lattice ordered effect algebras. [PDF]
ScientificWorldJournal, 2014 Many authors have studied roughness on various algebraic systems. In this paper, we consider a lattice ordered effect algebra and discuss its roughness in this context. Moreover, we introduce the notions of the interior and the closure of a subset and give some of their properties in effect algebras. Finally, we use a Riesz ideal induced congruence and
Xin XL, Hua XJ, Zhu X.
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Information-theoretic principle entails orthomodularity of a lattice [PDF]
, 2005 Quantum logical axiomatic systems for quantum theory usually include a postulate that a lattice under consideration is orthomodular. We propose a derivation of orthomodularity from an information-theoretic axiom.
A. Grinbaum +34 more
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Note on p-ideals set of orthomodular lattices
AIMS MathematicsThis paper mainly discusses the problems raised in Kalmbach's book: When are the $ p $-ideals of an irreducible orthomodular lattice well ordered under set inclusion?
Ziteng Zhao, Jing Wang, Yali Wu
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Bell-type inequalities for bivariate maps on orthomodular lattices [PDF]
, 2014 Bell-type inequalities on orthomodular lattices, in which conjunctions of propositions are not modeled by meets but by maps for simultaneous measurements (s-maps), are studied.
Nanasiova, Olga +2 more
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On Quantum-MV algebras - Part II: Orthomodular Lattices, Softlattices and Widelattices [PDF]
Transactions on Fuzzy Sets and Systems, 2022 Orthomodular lattices generalize the Boolean algebras; they have arisen in the study of quantum logic. Quantum-MV algebras were introduced as non-lattice theoretic generalizations of MV algebras and as non-idempotent generalizations of ...
Afrodita Iorgulescu
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