  We construct new entanglement distillation protocols by interpolating between
the recurrence and hashing protocols. This leads to asymptotic two-way
distillation protocols, resulting in an improvement of the distillation rate
for all mixed Bell diagonal entangled states, even for the ones with very high
fidelity. We also present a method how entanglement-assisted distillation
protocols can be converted into non-entanglement-assisted protocols with the
same yield.
