Results 41 to 50 of about 428,865 (120)

Categorical Equivalence Between Orthomodular Dynamic Algebras and Complete Orthomodular Lattices [PDF]

, 2017
This paper provides a categorical equivalence between two types of quantum structures. One is a complete orthomodular lattice, which is used for reasoning about testable properties of a quantum system.
Rad, SR, Kohei Kishida, Joshua Sack, Sack, Joshua, Shengyang Zhong, Kishida, K, Rad, Soroush R., Zhong, S, Kishida, Kohei, Zhong, Shengyang, Soroush Rafiee Rad, Sack, J   +11 more
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Order-topological complete orthomodular lattices [PDF]

, 1995
A lattice is order-topological iff its order convergence is topological and makes the lattice operations continuous. We show that the following properties are equivalent for any complete orthomodular lattice L: 1.(i) L is order-topological,2.(ii) L is ...
Erné, Marcel, Riečanová, Zdenka, Zdenka Riečanová, Marcel Erné   +3 more
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Hypergraph Theory Applied to Quantum Structures

Mathematics
We study the maximum possible number of edges in certain classes of hypergraphs with a given number of vertices. Our approach uses a generalized notion of a path, which need not consist solely of a sequence of vertices and may terminate in an edge ...
Milan Bubák, Mirko Navara
doaj   +1 more source

Profinite orthomodular lattices [PDF]

, 1993
We prove that any compact topological orthomodular lattice L L is zero dimensional. This leads one to show that L L is profinite iff it is the product of finite orthomodular lattices with their discrete topologies.
Richard J. Greechie, Tae Ho Choe
core   +1 more source

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  

Weakly orthomodular and dually weakly orthomodular posets

, 2018
Orthomodular posets form an algebraic semantic for the logic of quantum mechanics. We show several methods how to construct orthomodular posets via a representation within the powerset of a given set. Further, we generalize this concept to the concept of
Länger, Helmut, Ivan Chajda, Chajda, Ivan, Helmut Länger   +3 more
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On the structure of orthomodular lattices satisfying the chain condition [PDF]

, 1968
Beginning with the external point of view we show how orthomodular lattices may be “pasted” together to yield a new orthomodular lattice. Changing to the internal point of view we show that any two blocks (maximal Boolean suborthomodular lattices) of an ...
Greechie, R.J.
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Quantum logic automata generalizing the edge of chaos in complex systems

Frontiers in Complex Systems
BackgroundHistorically, 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, Yoshihiko Ohzawa, Yuuki Tokuyama, Kentaro Eto   +3 more
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Orthomodular semilattices [PDF]

, 2007
We present a simple equational characterization of (meet) semilattices with 0 where for each element p the interval [0,p] is an orthomodular lattice or an ortholattice possibly satisfying the compatibility ...
Chajda, Ivan
core   +1 more source

Semigroups Co-Ordinatizing Orthomodular Geometries

, 1965
In (2, 3, 4, and 5), the author has established a connection between orthomodular lattices and Baer *-semigroups. In brief, the connection is as follows. The lattice of closed projections of any Baer *-semigroup forms an orthomodular lattice. Conversely,
D. J. Foulis
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