Neither Contextuality nor Nonlocality Admits Catalysts

• URL: http://arxiv.org/abs/2102.07637v3
• Date: Wed, 13 Oct 2021 16:24:14 GMT
• Title: Neither Contextuality nor Nonlocality Admits Catalysts
• Authors: Martti Karvonen
• Abstract summary: We show that the resource theory of contextuality does not admit catalysts that can enable an otherwise impossible resource conversion. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 even if, instead of classical randomness, we allow some more powerful behaviors to be used freely in the free transformations of the resource theory.

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