Nonlocality of $W$ and Dicke states subject to losses

TL;DR

This paper investigates how the nonlocality of $W$ and Dicke states is affected by different types of losses, revealing the robustness of their nonlocal properties and the complex relationship with entanglement.

Contribution

It introduces a measure of nonlocality robustness for Dicke states under specific noise models, providing new insights into their nonlocality-entanglement relationship.

Findings

Dicke states exhibit varying robustness of nonlocality under loss.

Nonlocality can persist despite significant particle or excitation loss.

The nonlocality-entanglement relationship in Dicke states is non-monotonous.

Abstract

We discuss the nonlocality of the $W$ and the Dicke states subject to losses. We consider two noise models, namely loss of excitations and loss of particles, and investigate how much loss can be tolerated such that the final state remains nonlocal. This leads to a measure of robustness of the nonlocality of Dicke states, with a clear physical interpretation. Our results suggest that the relation between nonlocality and entanglement of Dicke states is not monotonous.