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Quantum Foundations

Quantum measurement incompatibility does not imply Bell nonlocality

arXiv
Authors: Flavien Hirsch, Marco Túlio Quintino, Nicolas Brunner

Year

2017

Paper ID

44463

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

We discuss the connection between the incompatibility of quantum measurements, as captured by the notion of joint measurability, and the violation of Bell inequalities. Specifically, we present explicitly a given a set of non jointly measurable POVMs mathcal{M}A with the following property. Considering a bipartite Bell test where Alice uses mathcal{M}A, then for any possible shared entangled state ρ and any set of (possibly infinitely many) POVMs mathcal{N}B performed by Bob, the resulting statistics admits a local model, and can thus never violate any Bell inequality. This shows that quantum measurement incompatibility does not imply Bell nonlocality in general.

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  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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  • We discuss the connection between the incompatibility of quantum measurements, as captured by the notion of joint measurability, and the violation of Bell inequalities.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1707.06960 [2] arXiv https://arxiv.org/abs/1707.06960 [3] Publisher https://arxiv.org/abs/1707.06960

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