Characterizing multipartite symmetric Dicke states under the effects of noise

TL;DR

This paper investigates how noise affects genuine multipartite entanglement in symmetric Dicke states of qubits, providing tools and strategies for experimental detection and robustness of entanglement.

Contribution

It introduces setup-independent formulas for entanglement detection tools and discusses strategies for robust GME detection under noise.

Findings

Derived general expressions for entanglement witnesses and discriminators.

Analyzed the impact of environmental noise on large qubit systems.

Proposed methods for robust GME detection in experiments.

Abstract

We study genuine multipartite entanglement (GME) in a system of $n$ qubits prepared in symmetric Dicke states and subjected to the influences of noise. We provide general, setup-independent expressions for experimentally favorable tools such as fidelity- and collective spin-based entanglement witnesses, as well as entangled-class discriminators and multi-point correlation functions. Besides highlighting the effects of the environment on large qubit registers, we also discuss strategies for the robust detection of GME. Our work provides techniques and results for the experimental communities interested in investigating and characterizing multipartite entangled states by introducing realistic milestones for setup design and associated predictions.