Quantum violation of the Suppes-Zanotti inequalities and "contextuality"
arXiv:2101.10167 · doi:10.1007/s10773-021-04850-9
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.
arXiv comment6 pages
References in corpus (27)
- Observation of three-photon Greenberger-Horne-Zeilinger entanglement
- A simple test for hidden variables in spin-1 system
- Experimentally testable state-independent quantum contextuality
- Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement
- Bell-Kochen-Specker theorem: A proof with 18 vectors
- A Relevant Two Qubit Bell Inequality Inequivalent to the CHSH Inequality
- Quantum states and generalized observables: a simple proof of Gleason's theorem
- Symmetries of the Bell correlation inequalities
- New optimal tests of quantum nonlocality
- The contextual fraction as a measure of contextuality
- Gleason-Type Derivations of the Quantum Probability Rule for Generalized Measurements
- A variant of the Kochen-Specker theorem localising value indefiniteness
- Contextuality in Canonical Systems of Random Variables
- Converting contextuality into nonlocality
- Generalizing Tsirelson's bound on Bell inequalities using a min-max principle
- Logical equivalence between generalized urn models and finite automata
- How much contextuality?
- Proposed direct test of a certain type of noncontextuality in quantum mechanics
- Extracontextuality and Extravalence in Quantum Mechanics
- Deriving Born's rule from an Inference to the Best Explanation
- What makes quantum clicks special?
- A Gleason-type theorem for qubits based on mixtures of projective measurements
- Completing the quantum formalism in a contextually objective framework
- Quantum information via state partitions and the context translation principle
- Faithful orthogonal representations of graphs from partition logics
- Gleason-type Theorems from Cauchy's Functional Equation
- Real or Not Real that is the question