English

Quantum automata cannot detect biased coins, even in the limit

Computational Complexity 2016-10-13 v1 Quantum Physics

Abstract

Aaronson and Drucker (2011) asked whether there exists a quantum finite automaton that can distinguish fair coin tosses from biased ones by spending significantly more time in accepting states, on average, given an infinite sequence of tosses. We answer this question negatively.

Cite

@article{arxiv.1610.03543,
  title  = {Quantum automata cannot detect biased coins, even in the limit},
  author = {Guy Kindler and Ryan O`Donnell},
  journal= {arXiv preprint arXiv:1610.03543},
  year   = {2016}
}

Comments

preprint

R2 v1 2026-06-22T16:18:14.980Z