Experimental self-testing for photonic graph states
Jia-Min Xu, Qing Zhou, Yu-Xiang Yang, Zi-Mo Cheng, Xin-Yu Xu,, Zhi-Cheng Ren, Xi-Lin Wang, Hui-Tian Wang

TL;DR
This paper experimentally demonstrates device-independent certification of multipartite graph states using robust self-testing schemes based on scalable Bell inequalities, advancing quantum communication and computation reliability.
Contribution
It provides the first experimental implementation of device-independent certification for multipartite graph states using scalable Bell inequalities.
Findings
Achieved high Bell violation with GHZ and linear cluster states.
Demonstrated certification beyond nontrivial bounds of self-testing schemes.
Paved the way for certification of complex multipartite quantum states.
Abstract
Graph states -- one of the most representative families of multipartite entangled states, are important resources for multiparty quantum communication, quantum error correction, and quantum computation. Device-independent certification of highly entangled graph states plays a prominent role in the quantum information processing tasks. Here we have experimentally demonstrated device-independent certification for multipartite graph states, by adopting the robust self-testing scheme based on scalable Bell inequalities. Specifically, the prepared multi-qubit Greenberger-Horne-Zeilinger (GHZ) states and linear cluster states achieve a high degree of Bell violation, which are beyond the nontrivial bounds of the robust self-testing scheme. Furthermore, our work paves the way to the device-independent certification of complex multipartite quantum states.
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