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Markov property in Quantum logic. A reflection

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F09%3A00183964" target="_blank" >RIV/68407700:21220/09:00183964 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Markov property in Quantum logic. A reflection

  • Original language description

    A possible way of the Markov property introduction within the framework of the orthomodular quantum logic, which is commonly used as the calculus model for quantum mechanics is presented in this paper. The presented work follows the logical line rather than any physical interpretation in the framework of quantum mechanics. The basic algebraic structure, which is used as a model for noncompatible random events is an orthomodular lattice. On the orthomodular lattice, a dynamical structure is introduced coupled with mappings which have similar properties as $s_n$-maps on the orthomodular lattice. This construction leads to the definition of an L-process with Markovian property on orthomodular lattice.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/1M06047" target="_blank" >1M06047: Research Center for Quality and Reliability of Production</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2009

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Information Sciences

  • ISSN

    0020-0255

  • e-ISSN

  • Volume of the periodical

    179

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    7

  • Pages from-to

    485-491

  • UT code for WoS article

  • EID of the result in the Scopus database