  Finite tight frames play an important role in miscellaneous areas, including
quantum information theory. Here we apply a class of tight frames, equiangular
tight frames, to address the problem of detecting the entanglement of bipartite
states. Here we derive some entanglement criteria based on positive
operator-valued measurements built from equiangular tight frames. We also
present a class of entanglement witnesses based on the equiangular tight
frames. At last, we generalize the entanglement criterion for bipartite systems
to multipartite systems.
