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Neither Contextuality nor Nonlocality Admits Catalysts

Karvonen, Martti; (2021) Neither Contextuality nor Nonlocality Admits Catalysts. Physical Review Letters , 127 (16) , Article 160402. 10.1103/PhysRevLett.127.160402. Green open access

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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.

Type: Article
Title: Neither Contextuality nor Nonlocality Admits Catalysts
Location: United States
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.127.160402
Publisher version: http://dx.doi.org/10.1103/physrevlett.127.160402
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher's terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10193408
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