A new protocol and lower bounds for quantum coin flipping

  • Authors:
  • Andris Ambainis

  • Affiliations:
  • School of Mathematics, Institute for Advanced Study, Princeton, NJ

  • Venue:
  • Journal of Computer and System Sciences - STOC 2001
  • Year:
  • 2004

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Abstract

We present a new protocol and two lower bounds for quantum coin flipping. In our protocol, no dishonest party can achieve one outcome with probability more than 0.75. Then we show that out protocol is optimal among 3-round protocols of a certain form.For arbitrary quantum protocols, we show that if a protocol achieves a bias of at most ε, it must use at least Ω(log log 1ε) rounds of communication. This implies that the parallel repetition fails for quantum coin flipping. (The bias of a protocol cannot be arbitrarily decreased by running several copies of it in parallel.)