Quantum violation of the Suppes-Zanotti inequalities and "contextuality"

TL;DR

This paper derives the Suppes-Zanotti inequalities for three binary quantum observables, explores their quantum violations, and critically reviews the concept of contextuality in quantum mechanics.

Contribution

It provides a new derivation of the inequalities using hull computation and links their quantum violations to a generalized Tsirelson bound.

Findings

Maximal quantum violations match a generalized Tsirelson bound

Correlation polytope analysis clarifies the structure of inequalities

Critical review of the notion of contextuality in quantum theory

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.