https://arxiv.org/abs/1908.07068


Randomness? What randomness?

Klaas Landsman 
https://arxiv.org/search/physics?searchtype=author&query=Landsman%2C+K

> This is a review of the issue of randomness in quantum mechanics, with 
> special emphasis on its ambiguity; for example, randomness has different 
> antipodal relationships to determinism, computability, and compressibility. 
> Following a (Wittgensteinian) philosophical discussion of randomness in 
> general, I argue that deterministic interpretations of quantum mechanics 
> (like Bohmian mechanics or 't Hooft's Cellular Automaton interpretation) are 
> strictly speaking incompatible with the Born rule. I also stress the role of 
> outliers, i.e. measurement outcomes that are not 1-random. Although these 
> occur with low (or even zero) probability, their very existence implies that 
> the no-signaling principle used in proofs of randomness of outcomes of 
> quantum-mechanical measurements (and of the safety of quantum cryptography) 
> should be reinterpreted statistically, like the second law of thermodynamics. 
> In appendices I discuss the Born rule and its status in both single and 
> repeated experiments, and review the notion of 1-randomness introduced by 
> Kolmogorov, Chaitin, Martin-Lo"f, Schnorr, and others.
> 

> https://groups.google.com/d/msgid/everything-list/3ce2b4b2-398d-47ba-a26c-76aeacb7c79fn%40googlegroups.com?utm_medium=email&utm_source=footer
>  .
> 

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