Proposed direct test of a certain type of noncontextuality in quantum mechanics

The noncontextuality of quantum mechanics can be directly tested by measuring two entangled particles with more than two outcomes per particle. The two associated contexts are “interlinked” by common observables.

Figure 1

(Color online) Diagrammatical representation of two interlinked Kochen-Specker contexts: Greechie (orthogonality) diagram representing two tripods with a common leg: points stand for individual basis vectors and entire contexts—in this case the one-dimensional linear subspaces spanned by the vectors of the orthogonal tripods—are drawn as smooth curves.

Figure 2

(Color online) Greechie diagram of two contexts in four-dimensional Hilbert space interconnected by two link observables.