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We show that, for any system with a number of levels which can be identifiedwith n qubits, there is an inequality for the correlations between threecompatible dichotomic measurements which must be satisfied by any noncontextualtheory, but is violated by any quantum state. Remarkably, the violation growsexponentially with n, and the tolerated error per correlation also increaseswith n, showing that state-independent quantum contextuality is experimentallyobservable in complex systems.

Proposed test of macroscopic quantum contextuality