Distillation protocols: Output entanglement and local mutual information
  A complementary behavior between local mutual information and average output entanglement is derived for arbitrary bipartite ensembles. This leads to bounds on the yield of entanglement in distillation protocols that involve disinguishing. This bound is saturated in the hashing protocol for distillation, for Bell-diagonal states. 
Michal Horodecki, Jonathan Oppenheim, Aditi Sen De, Ujjwal Sen