I'm aware that one can imperfectly clone entanglement that's shared between two parties (i.e. Bell pairs) using deterministic quantum cloning machines to produce two, lower fidelity entangled states.
What I want to know is, does there exist some strategy to non-deterministically generate entanglement between two distant parties? In other words if Alice and Bob have a Bell pair between them, is there some LOCC strategy they can do that will either create another Bell pair of the same fidelity, or fail wiith some probability.