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Quantum non-locality has been experimentally investigated by testingdifferent forms of Bell's inequality, yet a loophole-free realization has notbeen achieved up to now. Much less explored are temporal Bell inequalities,which are not subject to the locality assumption, but impose a constrain on thesystem's time-correlations. In this paper, we report on the experimentalviolation of a temporal Bell's inequality using a nitrogen vacancy defect (NV)in diamond and provide a novel quantitative test of quantum coherence. Wetherefore present a new technique to initialize the electronic state of the NVwith high fidelity, a necessary requirement for reliable quantum informationprocessing and/or the implementation of protocols for quantum metrology.

Violation of a temporal Bell inequality for single spins in solid by over 50 standard deviations