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Entanglement Theory Quantum Correlations Quantum Foundations

Device-independent quantification of measurement incompatibility

arXiv
Authors: Shin-Liang Chen, Nikolai Miklin, Costantino Budroni, Yueh-Nan Chen

Year

2020

Paper ID

19893

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • Incompatible measurements, i.e., measurements that cannot be simultaneously performed, are necessary to observe nonlocal correlations.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2010.08456 [2] arXiv https://arxiv.org/abs/2010.08456 [3] Publisher https://arxiv.org/abs/2010.08456

Local Citation Graph (Related-Paper Links)

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