Bound entangled states are useful in prepare-and-measure scenarios

TL;DR

This paper demonstrates that bound entangled states can violate correlation inequalities in prepare-and-measure scenarios, showing their potential for quantum advantages beyond Bell inequalities, especially with higher dimensions.

Contribution

It introduces the use of bipartite bound entangled states to violate correlation inequalities in prepare-and-measure scenarios, highlighting their robustness and potential for stronger quantum correlations.

Findings

Bound entangled states violate correlation inequalities in prepare-and-measure scenarios.

Violations are sizeable and noise-tolerant compared to Bell inequality violations.

Higher-dimensional bound entangled states enable stronger quantum correlations.

Abstract

We show that bipartite bound entangled states make possible violations of correlation inequalities in the prepare-and-measure scenario. These inequalities are satisfied by all classical models as well as by all quantum models that do not feature entanglement. In contrast to the known Bell inequality violations from bound entangled states, we find that the violations in the prepare-and-measure scenario are sizeable and significantly noise-tolerant. Furthermore, we show that significantly stronger quantum correlations are made possible by considering bound entanglement with a larger dimension.