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I am reading about the problem of generating random quatum numbers, and I am interested in the state of the art in terms of the true randomness these generators achieve.

As far as I know, following reviews like this one the basic problem is that any quantum device would be affected to some degree by noise in some biased direction, so a myriad of experimental device has been proposed and built to avoid this bias.

However I am a bit confused about the overall success/failure of the program, i.e.

  1. Are there any QRNG clearly superior to the others?
  2. What is the quantitative difference between the best QRNG and the best classical one?
  3. Are these QRNG random enough? I guess the maximum accuracy is needed for cryptographic purposes. Are there proofs that they can/cannot be cracked?
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My naive take is that the state of any classical generator may be gigantic but enumerable. Hence the generated sequences should repeat eventually. Perhaps that's overly naive.

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