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• W3103655777 abstract "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-Lof, Schnorr, and others." @default.
• W3103655777 created "2020-11-23" @default.
• W3103655777 creator A5047647154 @default.
• W3103655777 date "2020-01-18" @default.
• W3103655777 modified "2023-10-12" @default.
• W3103655777 title "Randomness? What Randomness?" @default.
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• W3103655777 doi "https://doi.org/10.1007/s10701-020-00318-8" @default.
• W3103655777 hasPublicationYear "2020" @default.
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