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by lisper 3550 days ago
The difference between classical and quantum is not really analogous to the difference between digital and analog, it's the difference between real numbers and Turing machines (classical) and complex numbers (quantum).

But the ability of classical math to model all this is truly extraordinary.

https://www.dartmouth.edu/~matc/MathDrama/reading/Wigner.htm...

1 comments

Oh OK. Yeah, I assumed quantum did reals for probabilities. Might not apply if using complex numbers.
Probabilities are always real (by definition). QM uses complex numbers for amplitudes, not probabilities. The probability is the square of the absolute value of the amplitude. Why nature should choose such a weird rule is the Big Mystery. The best discussion of this that I know of is this one:

http://www.scottaaronson.com/democritus/lec9.html

Can you eli5?