The phenomenon of spontaneous synchronization is universal and only
recently advances have been made in the quantum domain. Being synchronization
a kind of temporal correlation among systems, it is interesting to understand its
connection with other measures of quantum correlations. We review here what is
known in the field, putting emphasis on measures and indicators of synchronization
which have been proposed in the literature, and comparing their validity for different
dynamical systems, highlighting when they give similar insights and when they seem
to fail.