Device-independent quantification of measurement incompatibility

• URL: http://arxiv.org/abs/2010.08456v2
• Date: Wed, 26 May 2021 13:45:51 GMT
• Title: Device-independent quantification of measurement incompatibility
• Authors: Shin-Liang Chen, Nikolai Miklin, Costantino Budroni, Yueh-Nan Chen
• Abstract summary: Incompatible measurements are necessary to observe nonlocal correlations. We provide the direct link between Bell nonlocality and the quantification of measurement incompatibility.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Incompatible measurements, i.e., measurements that cannot be simultaneously performed, are necessary to observe nonlocal correlations. It is natural to ask, e.g., how incompatible the measurements have to be to achieve a certain violation of a Bell inequality. In this work, we provide the direct link between Bell nonlocality and the quantification of measurement incompatibility. This includes quantifiers for both incompatible and genuine-multipartite incompatible measurements. Our method straightforwardly generalizes to include constraints on the system's dimension (semi-device-independent approach) and on projective measurements, providing improved bounds on incompatibility quantifiers, and to include the prepare-and-measure scenario.

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