Certification of multi-qubit quantum systems with temporal inequalities
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910723480748032 |
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| author | Sharma, Gautam Jebarathinam, Chellasamy Sazim, Sk Augusiak, Remigiusz |
| author_facet | Sharma, Gautam Jebarathinam, Chellasamy Sazim, Sk Augusiak, Remigiusz |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02709 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Certification of multi-qubit quantum systems with temporal inequalities Sharma, Gautam Jebarathinam, Chellasamy Sazim, Sk Augusiak, Remigiusz Quantum Physics 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. |
| title | Certification of multi-qubit quantum systems with temporal inequalities |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2404.02709 |