Research ArticleOpen AccessGoogle Scholar indexed
Super-Quantum Correlations: A Necessary Clarification
Laboratory Sphere, Paris Diderot University, Paris, France
- 1 Laboratory Sphere, Paris Diderot University, Paris, France
Journal of Quantum Information Science·Volume 08 (2018)·Pages 131–137·Published 15 August 2018·DOI10.4236/jqis.2018.83009
Copy link · social · email
Abstract
This paper proposes a necessary clarification about the problematic of super-quantum correlations, whose mainstream debate relies on an incorrect, statistical interpretation of the no-signaling condition. The no-signaling condition is an informational constraint that limits the strength of non-local correlations to the Tsirelson bound.
KeywordsSuper-Quantum CorrelationsNo-SignalingInformation Causality
- Popescu, S. (2015) Non-Locality beyond Quantum Mechanics. In: Bokulich, A. and Jaeger, G., Eds., Philosophy of Quantum Information and Entanglement, Cambridge Books Online, 3-15.
- Popescu, S. and Rohrlich, D. (1994) Quantum Nonlocality as an Axiom. Foundations of Physics, 24, 379-385. https://doi.org/10.1007/BF02058098
- Clauser, J.F., Horne, M.A., Shimony, A. and Holt, R.A. (1969) Proposed Experiment to Test Local Hidden-Variable Theories. Physical Review Letters, 23, 880-884. https://doi.org/10.1103/PhysRevLett.23.880
- Bell, J.S. (1987) Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press, Cambridge.
- Cirel’son, B.S. (1980) Quantum Generalizations of Bell’s Inequality. Letters in Mathematical Physics, 4, 93-100. https://doi.org/10.1007/BF00417500
- van Dam, W. (2005) Implausible Consequences of Superstrong Nonlocality. arXiv: quant-ph/0501159.
- Bub, J. (2012) Why the Tsirelson Bound? In: Ben-Menahem, Y. and Hemmo, M., Eds., Probability in Physics, The Frontiers Collection, Springer, Berlin, Heidelberg, 167-185. https://doi.org/10.1007/978-3-642-21329-8_11
- Einstein, A. (1948) Quanten-Mechanik und Wirklichkeit. Dialectica, 2, 320-324. (Translation Howard, 1985)
- Pawlowski, M.P., Paterek, T., Kaszlikowski, D., Scarani, V., Winter, A. and Zukowski, M. (2010) Information Causality as a Physical Principle. Nature, 461, 1101-1104.
- Masanes, L. (2003) Necessary and Sufficient Conditions for Quantum-Generated Correlations. arXiv:0309137v1.
- Navascués, M., Pironio, S. and Acin, A. (2007) Bounding the Set of Quantum Correlations. Physical Review Letters, 98, 010401. https://doi.org/10.1103/PhysRevLett.98.010401
- Ishizaka, S. (2017) Cryptographic Quantum Bound on Nonlocality. Physical Review A, 95, 022108. https://doi.org/10.1103/PhysRevA.95.022108
- Allcock, J., Brunner, N., Pawlowski, M. and Scarani, V. (2009) Recovering Part of the Quantum Boundary from Information Causality. arXiv:0906.3464v3.