Coauthors: Peter Hoyer

We know that quantum mechanics is not optimally non-local in general. In fact, an optimal non-local source yields a 1-bit communication protocol. It is not known whether this is true for all stronger than quantum non-local sources. Combining n copies of a weak non-local source to obtain a stronger non-local source is known as "distilling" non-locality.

I will sketch a proof that for non-adaptive n-copy distillation protocols parity is optimal. I will also discuss several possible approaches to generalize the proof for adaptive distillation protocols.