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Description
Contextuality is an interesting property that our naive intuition would like to rule out from Nature, but necessary for any realistic model which is a candidate to "complete" quantum mechanics. However, it has been argued that any test of quantum contextuality is nullified by the fact that perfect orthogonality and perfect compatibility cannot be achieved in finite precision experiments. Together with Adan Cabelo, we introduce experimentally testable two-qutrit violation of inequalities for noncontextual theories in which orthogonality and compatibility are guaranteed by the fact that measurements are performed on separated qutrits. The inequalities come from the basic building block of Kochen and Specker's proof of quantum contextuality for a qutrit, despite their proofs be completely independent of this diagram. The relationship with Bell inequalities will also be discussed.
