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Measurement incompatibility and steering are necessary and sufficient for operational contextuality

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arxiv 1905.03614 v2 pith:ASVB4CCZ submitted 2019-05-09 quant-ph

classification quant-ph
keywords contextualityincompatibilitymeasurementoperationalsteeringnecessarynonclassicalitysufficient
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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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Cited by 1 Pith paper

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  1. Strict hierarchy between $n$-wise measurement simulability, compatibility structures, and multi-copy compatibility

    quant-ph 2025-06 conditional novelty 7.0 of 10

    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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