Robust self-testing of multipartite GHZ-state measurements in quantum networks

• URL: http://arxiv.org/abs/2112.13239v1
• Date: Sat, 25 Dec 2021 14:09:21 GMT
• Title: Robust self-testing of multipartite GHZ-state measurements in quantum networks
• Authors: Qing Zhou, Xin-Yu Xu, Shuai Zhao, Yi-Zheng Zhen, Li Li, Nai-Le Liu, Kai Chen
• Abstract summary: We develop a general self-testing procedure for multipartite generalized GHZ-state measurements. The key step is self-testing all measurement eigenstates for a general N-qubit multipartite GHZ-state measurement. It turns out that the existing result for three-qubit GHZ-state measurement is recovered as a special case.
• Score: 15.037030262271992
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Self-testing is a device-independent examination of quantum devices based on correlations of observed statistics. Motivated by elegant progresses on self-testing strategies for measurements [Phys. Rev. Lett. 121, 250507 (2018)] and for states [New J. Phys. 20, 083041 (2018)], we develop a general self-testing procedure for multipartite generalized GHZ-state measurements. The key step is self-testing all measurement eigenstates for a general N-qubit multipartite GHZ-state measurement. Following our procedure, one only needs to perform local measurements on N-2 chosen parties of the N-partite eigenstate and maintain to achieve the maximal violation of tilted Clauser-Horne-Shimony-Holt (CHSH) Bell inequality for remaining two parties. Moreover, this approach is physically operational from an experimental point of view. It turns out that the existing result for three-qubit GHZ-state measurement is recovered as a special case. Meanwhile, we develop the self-testing method to be robust against certain white noise.

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