  A multi-party protocol for distributed quantum clock synchronization has been
claimed to provide universal limits on the clock accuracy, viz. that accuracy
monotonically decreases with the number n of party members. But, this is only
true for synchronization when one limits oneself to W-states. This work shows
that usage of Zen-states, a generalization of W-states, results in improved
accuracy, having a maximum when \lfloor n/2 \rfloor of its members have their
qubits with a |1> value.
