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We present a generalized quantum scattering circuit which can be used toperform non-invasive quantum measurements, and implement it on NMR qubits. Sucha measurement is a key requirement for testing temporal non-contextualinequalities. We use this circuit to experimentally demonstrate the violationof the Peres-Mermin inequality (which is the temporal analog of a Klyachko-Can-Binicioglu-Shumovsky (KCBS) inequality), on a three-qubit NMR quantuminformation processor. Further, we experimentally demonstrate the violation ofa transformed Bell-type inequality (the spatial equivalent of the temporal KCBSinequality) and show that its Tsirelson bound is the same as that for thetemporal KCBS inequality. In the temporal KCBS scenario, the contextual boundis strictly lower than the quantum temporal and nonlocal bounds.

physical review. a/physical review, a

Experimental demonstration of the violation of the temporal Peres-Mermin  inequality using contextual temporal correlations and noninvasive  measurements