Publications in Scientific Journals:
K. Svozil:
"Quantum violation of the Suppes-Zanotti inequalities and "contextuality"";
International Journal of Theoretical Physics,
60
(2021),
6;
2300
- 2310.
English abstract:
The Suppes-Zanotti inequalities involving the joint expectations of just three binary quantum observables are (re-)derived by the hull computation of the respective correlation polytope. A min-max calculation reveals its maximal quantum violations correspond to a generalized Tsirelson bound. Notions of ``contextuality" motivated by such violations are critically reviewed.
German abstract:
Die Suppes-Zanotti Ungleichungen, welche die Korrelationsfunktionen von nur drei binären Quantenobservablen betreffen, werden durch die Hüllenberechnung des jeweiligen Korrelationspolytops abgeleitet. Eine Min-Max-Berechnung zeigt, dass ihre maximalen Quantenverletzungen einer verallgemeinerten Tsirelson-Schranke entsprechen. Begriffe der "Kontextualität", die durch solche Verletzungen motiviert sind, werden kritisch beleuchtet.
Keywords:
Suppes-Zanotti inequalities, Greenberger-Horne-Zeilinger argument, Kochen-Specker theorem, Born rule, min-max calculation, convex polytope, contextuality
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s10773-021-04850-9
Electronic version of the publication:
https://publik.tuwien.ac.at/files/publik_296503.pdf
Created from the Publication Database of the Vienna University of Technology.