Certification of multi-qubit quantum systems with temporal inequalities

• URL: http://arxiv.org/abs/2404.02709v1
• Date: Wed, 3 Apr 2024 13:08:11 GMT
• Title: Certification of multi-qubit quantum systems with temporal inequalities
• Authors: Gautam Sharma, Chellasamy Jebarathinam, Sk Sazim, Remigiusz Augusiak,
• Abstract summary: We propose temporal inequalities derived from non-contextuality inequalities for multi-qubit systems. We demonstrate that the new inequalities can be maximally violated via a sequential measurement scenario. We are able to certify multi-qubit graph states and the measurements.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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