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 random-number-generation protocols with higher bit rates for both the semi- and fully-device-independent cases. As a byproduct, we obtain 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.
- Received 4 October 2012
DOI:https://doi.org/10.1103/PhysRevA.87.020302
©2013 American Physical Society