A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Measures of contextuality and non-contextuality
Tekijät: Kujala JV, Dzhafarov EN
Kustantaja: ROYAL SOCIETY PUBLISHING
Julkaisuvuosi: 2019
Journal: Philosophical Transactions A: Mathematical, Physical and Engineering Sciences
Tietokannassa oleva lehden nimi: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Lehden akronyymi: PHILOS T R SOC A
Artikkelin numero: ARTN 20190149
Vuosikerta: 377
Numero: 2157
Sivujen määrä: 16
ISSN: 1364-503X
eISSN: 1471-2962
DOI: https://doi.org/10.1098/rsta.2019.0149
Tiivistelmä
We discuss three measures of the degree of contextuality in contextual systems of dichotomous random variables. These measures are developed within the framework of the Contextuality-by-Default (CbD) theory, and apply to inconsistently connected systems (those with 'disturbance' allowed). For one of these measures of contextuality, presented here for the first time, we construct a corresponding measure of the degree of non-contextuality in non-contextual systems. The other two CbD-based measures do not suggest ways in which degree of non-contextuality of a non-contextual system can be quantified. We find the same to be true for the contextual fraction measure developed by Abramsky, Barbosa and Mansfield. This measure of contextuality is confined to consistently connected systems, but CbD allows one to generalize it to arbitrary systems.This article is part of the theme issue 'Contextuality and probability in quantum mechanics and beyond'.
We discuss three measures of the degree of contextuality in contextual systems of dichotomous random variables. These measures are developed within the framework of the Contextuality-by-Default (CbD) theory, and apply to inconsistently connected systems (those with 'disturbance' allowed). For one of these measures of contextuality, presented here for the first time, we construct a corresponding measure of the degree of non-contextuality in non-contextual systems. The other two CbD-based measures do not suggest ways in which degree of non-contextuality of a non-contextual system can be quantified. We find the same to be true for the contextual fraction measure developed by Abramsky, Barbosa and Mansfield. This measure of contextuality is confined to consistently connected systems, but CbD allows one to generalize it to arbitrary systems.This article is part of the theme issue 'Contextuality and probability in quantum mechanics and beyond'.
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