Quantum Violation of the Suppes-Zanotti Inequalities and "Contextuality"

Karl Svozil

doi:10.1007/s10773-021-04850-9

Quantum Violation of the Suppes-Zanotti Inequalities and "Contextuality"

Int J Theor Phys (Dordr). 2021;60(6):2300-2310. doi: 10.1007/s10773-021-04850-9. Epub 2021 Jun 10.

Author

Karl Svozil¹

Affiliation

¹ Institute for Theoretical Physics, TU Wien, Wiedner Hauptstrasse 8-10/136, 1040 Vienna, Austria.

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.

Keywords: Born rule; Contextuality; Convex polytope; Greenberger-Horne-Zeilinger argument; Kochen-Specker theorem; Min-max calculation; Suppes-Zanotti inequalities.