Neither Contextuality nor Nonlocality Admits Catalysts.
@article{Karvonen2021NeitherCN, title={Neither Contextuality nor Nonlocality Admits Catalysts.}, author={Martti Karvonen}, journal={Physical review letters}, year={2021}, volume={127 16}, pages={ 160402 } }
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 example to the list of "anomalies of entanglement," showing that nonlocality and entanglement behave differently as resources. We also show that catalysis remains impossible…
2 Citations
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This chapter contains an exposition of the sheaf-theoretic framework for contextuality emphasising resourcetheoretic aspects, as well as some original results on this topic. In particular, we…
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