  We determine the optimal entanglement rate of quantum state merging when
assuming that the state is unknown except for its membership in a certain set
of states. We find that merging is possible at the lowest rate allowed by the
individual states. Additionally, we establish a lower bound for the classical
cost of state merging under state uncertainty. To this end we give an
elementary proof for the cost in case of a perfectly known state which makes no
use of the "resource framework". As applications of our main result, we
determine the capacity for one-way entanglement distillation if the source is
not perfectly known. Moreover, we give another achievability proof for the
entanglement generation capacity over compound quantum channels.
