Bound entangled states provide overall convertibility of pure entangled states

I show that two distant parties can transform a single copy of their pure entangled state to arbitrary pure state by stochastic local operations and classical communication (SLOCC), if they share a single copy of bound entangled states. It has been known that this entanglement processing is impossible by SLOCC alone. This is the first example of the effect of bound entangled states on the entanglement processing for bipartite pure states. Further, I obtain the optimal attainable probability for several classes of states