We present a fast quantum Byzantine Agreement protocol that can reach agreement in O(1) expected communication rounds against a strong full information, dynamic adversary, tolerating up to the optimal t‹n3 faulty players in the synchronous setting, and up to t‹n4 faulty players for asynchronous systems. This should be contrasted with the known classical synchronous lower bound of Ω(√ nlog n)  when t=(n).
|Title of host publication
|Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
|Published - 2005