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Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
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We investigate the relation between the incompatibility of quantum measurements and quantum nonlocality. We show that any set of measurements that is not jointly measurable (i.e. incompatible) can be used for demonstrating EPR steering, a form of quantum nonlocality. This implies that EPR steering and (non) joint measurability can be viewed as equivalent. Moreover, we discuss the connection between Bell nonlocality and joint measurability, and give evidence that both notions are inequivalent. Specifically, we exhibit a set of incompatible quantum measurements and show that it does not violate a large class of Bell inequalities. This suggest the existence of incompatible quantum measurements which are Bell local, similarly to certain entangled states which admit a local hidden variable model.
Forward citations
Cited by 2 Pith papers
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Strict hierarchy between $n$-wise measurement simulability, compatibility structures, and multi-copy compatibility
The paper orders all known generalizations of measurement incompatibility in a strict chain of inclusions, with n-wise compatible assemblages as the convex hull of n-simulable ones, strictly inside n-copy jointly meas...
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Measurement incompatibility and quantum steering via linear programming
A hierarchy of linear programs computes provable upper and lower bounds on measurement incompatibility and quantum steering, scaling polynomially with the number of measurements.
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