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.
Herrero-Collantes and J
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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.