My question is how "sure" experiments are that QM is the right theory over LHV. I heard that the last bell inequality experiment came to the conclusion that QM was right with a certainty of $16\sigma$, but I could not find a source. Does anybody know the exact number or has a source with this number? Thanks a lot in advance.
1 Answer
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For a comprehensive list, I guess just visit Wikipedia
https://en.wikipedia.org/wiki/Bell_test
Apparently, the MPQ and LMU found up to $6\sigma$ confidence with $P \approx 10^{-9}$ that the results could be described by local hidden variable theory:
https://arxiv.org/abs/1611.04604
Regarding the $16\sigma$, I don't know which source possibly Cirac was referring to...