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We explore the acceleration effect on the genuine tripartite nonlocality(GTN) for one or two accelerated detector(s) coupled to the vacuum field withinitial mixed tripartite states. We show that the Hawking radiation degradesthe physically accessible GTN, which suffers from "sudden death" at certaincritical Hawking temperature. An novel phenomenon has been observed first timethat the Hawking effect can generate the physically inaccessible GTN forfermion fields in curved spacetime, the "sudden birth" of the physicallyinaccessible GTN. This result shows that the GTN can pass through the eventhorizon of black hole for certain mixed initial states. We also derivedanalytically the tradeoff relations of genuine tripartite entanglement (GTE)and quantum coherence under the influence of Hawking effect.

Hawking effect can generate physically inaccessible genuine tripartite nonlocality