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Article Dans Une Revue PRX Quantum Année : 2022

Measurement Incompatibility versus Bell Nonlocality: An Approach via Tensor Norms

Résumé

Measurement incompatibility and quantum non-locality are two key features of quantum theory. Violations of Bell inequalities require quantum entanglement and incompatibility of the measurements used by the two parties involved in the protocol. We analyze the converse question: for which Bell inequalities is the incompatibility of measurements enough to ensure a quantum violation? We relate the two questions by comparing two tensor norms on the space of dichotomic quantum measurements: one characterizing measurement compatibility and the second one characterizing violations of a given Bell inequality. We provide sufficient conditions for the equivalence of the two notions in terms of the matrix describing the correlation Bell inequality. We show that the CHSH inequality and its variants are the only ones satisfying it.

Dates et versions

hal-03944751 , version 1 (18-01-2023)

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Citer

Faedi Loulidi, Ion Nechita. Measurement Incompatibility versus Bell Nonlocality: An Approach via Tensor Norms. PRX Quantum, 2022, 3 (4), pp.040325. ⟨10.1103/PRXQuantum.3.040325⟩. ⟨hal-03944751⟩
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