Large bipartite Bell violations with dichotomic measurements

TL;DR

This paper demonstrates that unbounded Bell violations can occur in a bipartite scenario with one party performing general measurements and the other dichotomic, highlighting a simple yet fundamental setting for such phenomena.

Contribution

It introduces a minimal bipartite Bell scenario with mixed measurement types and proves the possibility of unbounded violations, which was previously unknown in such simple settings.

Findings

Unbounded Bell violations are achievable with mixed measurement types.

The scenario is optimal regarding outputs and Hilbert space dimension.

This is the simplest known setting for observing unbounded violations.

Abstract

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.