Existence of states on quantum structures

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F09%3A00162866" target="_blank" >RIV/68407700:21230/09:00162866 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Existence of states on quantum structures

Original language description

Orthomodular lattices occurred as generalized event structures in the models of probability for quantum mechanics. Here we contribute to the question of existence of states (=probability measures) on orthomodular lattices. We prove that known techniquesdo not allow to find examples with less than 19 blocks (=maximal Boolean subalgebras). This bound is achieved by the example by R. Mayet. Although we do not finally exclude the existence of other techniques breaking this bound, existence of smaller examples is highly unexpected.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

JD - Use of computers, robotics and its application

OECD FORD branch

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Project

<a href="/en/project/GA201%2F07%2F1051" target="_blank" >GA201/07/1051: Algebraic and measure-theoretic aspects of quantum structures</a><br>

Continuities

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

Publication year

2009

Confidentiality

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

Name of the periodical

Information Sciences

ISSN

0020-0255

e-ISSN

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Volume of the periodical

179

Issue of the periodical within the volume

5

Country of publishing house

US - UNITED STATES

Number of pages

1

Pages from-to

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UT code for WoS article

000262768400006

EID of the result in the Scopus database

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