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 measurable ones.
Measurement incompatibility and steering are necessary and sufficient for operational contextuality
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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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quant-ph 1years
2025 1verdicts
CONDITIONAL 1representative citing 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 measurable ones.