Abstract

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.

Highlights

  • 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 1935 was published a paper [2] by Albert Einstein, Boris Podolsky, and Nathan Rosen on what they called “spooky action at a distance”. They were referring to the idea that if two entangled particles are separated far in space, collapsing the wave function of one of the particles will instantly collapse the second particle to a new state

  • This idea, that information might travel from the first location of the first particle to that of the second particle, violates special relativity, as information would be transferred faster than the speed of light. As this would break a major part of the physics known at the time, they proposed the hypothesis that reality was governed by “local hidden variables” (LHV), which means that those variables would influence the seemingly random out

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Summary

A Brief History of No-Signalling and Non-Local Correlations

In 1935 was published a paper [2] by Albert Einstein, Boris Podolsky, and Nathan Rosen on what they called “spooky action at a distance” They were referring to the idea that if two entangled particles are separated far in space, collapsing the wave function of one of the particles will instantly collapse the second particle to a new state. This hypothesis was further studied by John Stewart Bell in his 1964 paper [3] entitled “On the Einstein Podolsky Rosen Paradox” In this paper he formulated the so-called “Bell Inequalities”, which if violated would indicate that the LHV theory is insufficient and there exist greater-than-local correlations occurring instantaneously, but without enabling a transfer of information. Solid experimental results were achieved in 2015 (in [6], among others), giving persuasive evidence that the local hidden variables theory is insufficient to describe our observable reality

The Rise of Non-Local Correlations
Signalling and No-Signalling
Corrections to the Paper
Conclusion
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