SAMOP 2023 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 6: Poster I (joint session QI/Q)
QI 6.11: Poster
Montag, 6. März 2023, 16:30–19:00, Empore Lichthof
Randomness Certification for Multipartite Arbitrary Dimensional Systems — Yu Xiang1,2, •Yi Li1, and Qiongyi He1,2,3 — 1State Key Laboratory for Mesoscopic Physics, School of Physics, Frontiers Science Center for Nano-optoelectronics, and Collaborative Innovation Center of Quantum Matter, Peking University, Beijing 100871, China — 2Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 030006, China — 3Peking University Yangtze Delta Institute of Optoelectronics, Nantong, Jiangsu 226010, China
We first present a method to certify the randomness generated in multipartite arbitrary dimensional systems, closely to the actual situation where some of the untrusted sides are measured locally. The proposed method also provides a hierarchy of upper and lower bounds of randomness with different assumptions. Comparing with the bipartite scenario, our result shows more randomness can be certified in this asymmetric network. Surprisingly, for some systems, we find that there exists nonzero certified randomness on the untrusted parties together, even though no randomness can be induced in either mode individually, which implies randomness in the multipartite network can be used for some security tasks in the future. The ease of our method is also demonstrated by adopting some existing experimental data. Finally, we prove that multipartite steering is necessary for generating randomness in the asymmetric network.