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Explore a comprehensive lecture on state-independent certification of quantum observables and minimal bipartite full nonlocality presented by Prof. Adán Cabello from Universidad de Sevilla. Delve into recent findings, including the uniqueness of certain quantum observable sets and their contextuality witness properties. Examine the equivalence between quantum correlations in nonsignaling polytope faces, local fraction zero, all-versus-nothing proofs of nonlocality, and pseudo telepathy strategies. Uncover the answer to a long-standing question about the simplest example of bipartite full nonlocality, all-versus-nothing proof, and pseudo telepathy. Gain insights into quantum information and quantum computing through this in-depth seminar hosted by Centrum Fizyki Teoretycznej PAN.