Certification of multi-qubit quantum systems with temporal inequalities

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 ineq...

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Bibliographic Details
Published in:New journal of physics 2024-10, Vol.26 (10), p.103028
Main Authors: Sharma, Gautam, Jebarathinam, Chellasamy, Sazim, Sk, Augusiak, Remigiusz
Format: Article
Language:English
Subjects:
Certification
Compatibility
Eigenvalues
Expected values
Hilbert space
Inequalities
Inequality
multi-qubits
Probability distribution
Quantum theory
Qubits (quantum computing)
Self testing
self-testing quantum systems
temporal inequality
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Summary: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 the multi-qubit Greenberger–Horne–Zeilinger (GHZ) states and the measurements.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/ad86e5