Relation between semi- and fully-device-independent protocols

TL;DR

This paper explores the connection between semi- and fully-device-independent quantum protocols, introducing conversion methods that lead to new protocols, Bell inequalities, and dimension witnesses, enhancing quantum information processing.

Contribution

It presents a novel method to convert Bell inequalities into dimension witnesses and vice versa, resulting in improved protocols and new classes of inequalities.

Findings

New high-rate random number generation protocols

Discovery of new Bell inequalities and dimension witnesses

Adaptation of Bell inequality optimization methods for dimension witnesses

Abstract

We study the relation between semi and fully device independent protocols. As a tool, we use the correspondence between Bell inequalities and dimension witnesses. We present a method for converting the former into the latter and vice versa. This relation provides us with interesting results for both scenarios. First, we find new random number generation protocols with higher bit rates for both the semi and fully device independent cases. As a byproduct, we obtain whole new classes of Bell inequalities and dimension witnesses. Then, we show how optimization methods used in studies on Bell inequalities can be adopted for dimension witnesses.