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arXiv · 1905.03614

Measurement incompatibility and steering are necessary and sufficient for operational contextuality

Armin Tavakoli·Roope Uola
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Abstract

Contextuality is a signature of operational nonclassicality in the outcome statistics of an experiment. This notion of nonclassicality applies to a breadth of physical phenomena. Here, we establish its relation to two fundamental nonclassical entities in quantum theory; measurement incompatibility and steering. We show that each is necessary and sufficient the failure of operational contextuality. We exploit the established connection to contextuality to provide a novel approach to problems in measurement incompatibility and steering.

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Armin Tavakoli, Roope Uola. 2019-05-09. Measurement incompatibility and steering are necessary and sufficient for operational contextuality. https://doi.org/10.1103/physrevresearch.2.013011

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