In this paper we introduce a simple and natural bipartite Bell scenario, by
considering the correlations between two parties defined by general
measurements in one party and dichotomic ones in the other. We show that
unbounded Bell violations can be obtained in this context. Since such
violations cannot occur when both parties use dichotomic measurements, our
setting can be considered as the simplest one where this phenomenon can be
observed. Our example is essentially optimal in terms of the outputs and the
Hilbert space dimension