  We consider the problem of deciding whether a given state preparation, i.e.,
a source of quantum states, is accurate, namely produces states close to a
target one within a prescribed threshold. We show that, when multiple
measurements need to be used, the order of measurements is critical for quickly
assessing accuracy. We propose and compare different strategies to compute
optimal or suboptimal measurement sequences either relying solely on a priori
information, i.e., the target state for state preparation, or actively adapting
the sequence to the previously obtained measurements. Numerical simulations
show that the proposed algorithms reduce significantly the number of
measurements needed for verification, and indicate an advantage for the
adaptive protocol especially assessing faulty preparations.
