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Neither Contextuality nor Nonlocality Admits Catalysts

Neither Contextuality nor Nonlocality Admits Catalysts

We show that the resource theory of contextuality does not admit catalysts, i.e., there are no correlations that can enable an otherwise impossible resource conversion and still be recovered afterward. As a corollary, we observe that the same holds for nonlocality. As entanglement allows for catalysts, this adds a further …