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Clock synchronization for nonfaulty processes in multiprocess networks is indispensable for a variety of
technologies. A reliable system must be able to resynchronize the nonfaulty processes upon some
components failing causing the distribution of incorrect or conflicting information in the network. The task
of synchronizing such networks is related to Byzantine agreement (BA), which can classically be solved using
recursive algorithms if and only if less than one-third of the processes are faulty. Here we introduce a
nonrecursive quantum algorithm, based on a quantum solution of the detectable BA, which achieves clock
synchronization in the presence of arbitrary many faulty processes by using only a single quantum system
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