  This paper tries to probe the relation between the local distinguishability
of orthogonal quantum states and the distillation of entanglement. An new
interpretation for the distillation of entanglement and the distinguishability
of orthogonal quantum states in terms of information is given, respectively. By
constraining our discussion on a special protocol we give a necessary and
sufficient condition for the local distinguishability of the orthogonal pure
states, and gain the maximal yield of the distillable entanglement. It is shown
that the information entropy, the locally distinguishability of quantum states
and the distillation of entanglement are closely related.
