Neither Contextuality nor Nonlocality Admits Catalysts
- 13 October 2021
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 127 (16), 160402
- https://doi.org/10.1103/physrevlett.127.160402
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.Other Versions
This publication has 42 references indexed in Scilit:
- Contextuality in measurement-based quantum computationPhysical Review A, 2013
- Closed sets of nonlocal correlationsPhysical Review A, 2009
- Nonlocality Distillation and Postquantum Theories with Trivial Communication ComplexityPhysical Review Letters, 2009
- Computational Power of CorrelationsPhysical Review Letters, 2009
- No nonlocal box is universalJournal of Mathematical Physics, 2007
- Interconversion of nonlocal correlationsPhysical Review A, 2005
- Popescu-Rohrlich Correlations as a Unit of NonlocalityPhysical Review Letters, 2005
- Entanglement-Assisted Local Manipulation of Pure Quantum StatesPhysical Review Letters, 1999
- Quantum nonlocality as an axiomFoundations of Physics, 1994
- Proposed Experiment to Test Local Hidden-Variable TheoriesPhysical Review Letters, 1969