Abstract：A nonlocality distillation protocol for arbitrary high-dimensional systems is proposed. We study the nonlocality distillation in the 2-input $d$-output bi-partite case. Firstly, we give the one-parameter nonlocal boxes and their correlated distilling protocol. Then, we generalize the one-parameter nonlocality distillation protocol to the two-parameter case. Furthermore, we introduce a contracting protocol testifying that the 2-input $d$-output nonlocal boxes make communication complexity trivial.
2016, Vol. 33 
