wedrifid comments on A problem with Timeless Decision Theory (TDT) - Less Wrong
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Gary postulated an infallible simulator, which presumably includes your entire initial state and all pseudorandom algorithms you might run. Known quantum randomness methods can only amplify existing entropy, not manufacture it ab initio. So you have no recourse to coinflips.
EDIT: Oops! pengvado is right. I was thinking of the case discussed here, where the random bits are provided by some quantum black box.
Does putting the 'quantum' in a black box change anything?
Not sure I know which question you're asking:
Counterexamples to 2 are pretty straightforward (quantum computers), so I'm assuming you mean 1. I'm operating at the edge of my knowledge here (as my original mistake shows), but I think the entire point of Pironio et al's paper was that you can verify random bits obtained from an adversary, subject to the conditions:
Am I misunderstanding something?