Copula and s-map on a quantum logic

AM Al-Adilee, O Nánásiová - Information Sciences, 2009 - Elsevier
A quantum logic is one of possible mathematical models for non-compatible random events.
In this paper, we introduce and study functions called QL-copula and QL-co-copula on a …

A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras

G Niestegge - Proceedings of the Royal Society A, 2020 - royalsocietypublishing.org
Quantum theory's Hilbert space apparatus in its finite-dimensional version is nearly
reconstructed from four simple and quantum-mechanically motivated postulates for a …

[HTML][HTML] Problem of Existence of Joint Distribution on Quantum Logic

O Nánásiová, K Čipková, M Zákopčan - Entropy, 2024 - pmc.ncbi.nlm.nih.gov
This paper deals with the topics of modeling joint distributions on a generalized probability
space. An algebraic structure known as quantum logic is taken as the basic model. There is …

The problem of conjunction and disjunction in quantum logics

J Pykacz, P Frąckiewicz - International Journal of Theoretical Physics, 2017 - Springer
The Problem of Conjunction and Disjunction in Quantum Logics | International Journal of
Theoretical Physics Skip to main content SpringerLink Log in Menu Find a journal Publish with …

Marginality and triangle inequality

O Nánásiová, L Valášková - International Journal of Theoretical Physics, 2010 - Springer
In this paper we study conditions for the existence of a 3-dimensional s-map on a quantum
logic under assumption that marginal s-maps are known. We show that the existence of such …

Bell-type inequalities for bivariate maps on orthomodular lattices

J Pykacz, L Valášková, O Nánásiová - Foundations of Physics, 2015 - Springer
Bell-type inequalities on orthomodular lattices, in which conjunctions of propositions are not
modeled by meets but by maps for simultaneous measurements (s s-maps), are studied. It is …

Properties of quantum logic maps as fuzzy relations on a set of all symmetric and idempotent binary matrices

R Isaks - Kybernetika, 2024 - dml.cz
A quantum logic is one of possible mathematical models for non-compatible random events.
In this work we solve a problem proposed at the conference FSTA 2006. Namely, it is proved …

Probability measures and projections on quantum logics

O Nánásiová, V Čerňanová, Ľ Valášková - … , Systems Research, and …, 2020 - Springer
The present paper is devoted to modelling of a probability measure of logical connectives on
a quantum logic (QL), via a G-map, which is a special map on it. We follow the work in which …

[PDF][PDF] Modelling of Uncertainty and Bi–Variable Maps

O Nánásiová, J Pykacz - Journal of Electrical Engineering, 2016 - sciendo.com
Studies of alternative models for uncertainty (random events) are usefull. We can find many
papers on these topics (eg [15, 24, 31]). This paper is devoted to modeling of bi-variate …

Properties of Quantum Logic Maps on a Set of Symmetric Binary Matrices

R ISAKS, O GRIGORENKO - Fuzzy Logic Based Mathematical …, 2024 - conferences.lu.lv
A quantum logic is one of possible mathematical models for non-compatible random events.
In the work we solve a problem proposed in the conference FSTA 2006 [1]. Namely, it is …