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

• URL: http://arxiv.org/abs/2101.02152v1
• Date: Wed, 6 Jan 2021 17:39:01 GMT
• Title: Experimental demonstration of the violation of the temporal Peres-Mermin inequality using contextual temporal correlations and noninvasive measurements
• Authors: Dileep Singh and Arvind and Kavita Dorai
• Abstract summary: We present a generalized quantum scattering circuit which can be used to perform non-invasive quantum measurements. We use this circuit to experimentally demonstrate the violation of the Peres-Mermin inequality on a three-qubit NMR quantum information processor.
• Score: 4.291616110077346
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a generalized quantum scattering circuit which can be used to perform non-invasive quantum measurements, and implement it on NMR qubits. Such a measurement is a key requirement for testing temporal non-contextual inequalities. We use this circuit to experimentally demonstrate the violation of the Peres-Mermin inequality (which is the temporal analog of a Klyachko-Can- Binicioglu-Shumovsky (KCBS) inequality), on a three-qubit NMR quantum information processor. Further, we experimentally demonstrate the violation of a transformed Bell-type inequality (the spatial equivalent of the temporal KCBS inequality) and show that its Tsirelson bound is the same as that for the temporal KCBS inequality. In the temporal KCBS scenario, the contextual bound is strictly lower than the quantum temporal and nonlocal bounds.

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