In the paper “Super-Quantum Correlations: A Necessary Clarification” by Uzan [1], it is suggested that stronger than quantum (or supra-quantum) correlations are not possible. The main point of Uzan’s argumentation is the belief that the intuitive definition of No-Signalling (NS) is different from the statistical definition of No-Signalling (NSstat), and that situations exist where NSstat is respected while NS isn’t. In this paper we show why these definitions are one and the same, and where the example from the original paper breaks down. We provide a broader context to help the reader understand intuitively the situation.
References
[1]
Uzan, P. (2018) Super-Quantum Correlations: A Necessary Clarification. Journal of Quantum Information Science, 8, 131-137. https://doi.org/10.4236/jqis.2018.83009
[2]
Einstein, A., Podolsky, B. and Rosen, N. (1935) Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? Physical Review Journals Archive, 47, 777-780. https://doi.org/10.1103/PhysRev.47.777
[3]
Bell, J.S. (1964) On the Einstein Podolsky rosEn Paradox. Physics Physique Fizika, 1, 195-200. https://doi.org/10.1103/PhysicsPhysiqueFizika.1.195
[4]
Brunner, N., Cavalcanti, D., Pironio, S., Scarani, V. and Wehner, S. (2014) Bell Nonlocality. Reviews of Modern Physics, 86, 419-478.
https://doi.org/10.1103/RevModPhys.86.419
[5]
Aspect, A., Grangier, P. and Roger, G. (1982) Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: A New Violation of Bell’s Inequalities. Physical Review Letters, 49, 91-94.
https://doi.org/10.1103/PhysRevLett.49.91
[6]
Hensen, B., Bernien, H., Dreau, A.E., Reiserer, A., Kalb, N., Blok, M.S., Ruitenberg, J., Vermeulen, R.F.L., Schouten, R.N., Abellan, C., Amaya, W., Pruneri, V., Mitchell, M.W., Markham, M., Twitchen, D.J., Elkouss, D., Wehner, S., Taminiau, T.H. and Hanson, R. (2015) Loophole-Free Bell Inequality Violation Using Electron Spins Separated by 1.3 Kilometres. Nature, 526, 682-686.
https://doi.org/10.1038/nature15759
[7]
Cirelson, B.S. (1980) Quantum Generalizations of Bell’s Inequality. Letters in Mathematical Physics, 4, 93-100. https://doi.org/10.1007/BF00417500
[8]
Horodecki, P. and Ramanathan, R. (2019) The Relativistic Causality versus No-Signaling Paradigm for Multi-Party Correlations. Nature Communications, 10, 1701. https://doi.org/10.1038/s41467-019-09505-2