Demonstrating contextual correlations in quantum theory through the violation of a non-contextuality inequality necessarily needs some ``contexts" and thus assumes some compatibility relations between the measurements. As a result, any self-testing protocol based on the maximal violation of such inequality is not free from such assumptions. In this work, we propose temporal inequalities derived from non-contextuality inequalities for multi-qubit systems without assuming any compatibility relations among the measurements. We demonstrate that the new inequalities can be maximally violated via a sequential measurement scenario. Moreover, using the maximal violation of these temporal inequalities we are able to certify multi-qubit graph states and the measurements.
@article{arxiv.2404.02709,
title = {Certification of multi-qubit quantum systems with temporal inequalities},
author = {Gautam Sharma and Chellasamy Jebarathinam and Sk Sazim and Remigiusz Augusiak},
journal= {arXiv preprint arXiv:2404.02709},
year = {2024}
}