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 explicitly present a given set of non-jointly-measurable positive-operator-value measures (POVMs) with the following property. Considering a bipartite Bell test where Alice uses , then for any possible shared entangled state and any set of (possibly infinitely many) POVMs 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.
- Received 2 August 2017
DOI:https://doi.org/10.1103/PhysRevA.97.012129
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