  We consider different settings of the task to distinguish pure orthogonal
quantum states under local operations and a limited amount of classical
communication. In the first setting, the spatially separated parties are
allowed to perform only local projective measurements without any classical
communication during the measurements. Under such a restricted class of
operations, if the states are indistinguishable, then within a second group of
settings, the parties are allowed to use an additional resource for the
distinguishing. The additional resource is either a pure entangled state or
multiple identical copies of the given states. Comparisons between these two
types of resources are also done in certain cases. Both probabilistic and
perfect discrimination of the states are considered for the second group of
settings. Within a third setting, the parties perform local projective
measurements with a restriction on the availability of classical communication
during the measurements. But in this setting the parties are allowed to use a
maximally entangled state as a resource.
