Experimentally feasible set of criteria detecting genuine multipartite entanglement in n-qubit Dicke states and in higher dimensional systems

TL;DR

This paper introduces a set of criteria for detecting genuine multipartite entanglement in high-dimensional systems, especially in n-qubit Dicke states, which are more noise-robust and require fewer measurements, making them experimentally feasible.

Contribution

The authors develop a new set of criteria that are optimized for Dicke states, more noise-resistant than existing methods, and scale polynomially with system size for practical experiments.

Findings

Criteria are highly effective for n-qubit Dicke states with m-excitations.

Criteria demonstrate increased robustness to noise compared to previous methods.

Number of local observables scales polynomially, enabling experimental implementation.

Abstract

We construct a set of criteria detecting genuine multipartite entanglement in arbitrary dimensional multipartite systems. These criteria are optimally suited for detecting multipartite entanglement in n-qubit Dicke states with m-excitations. In a detailed analysis we show that the criteria are also more robust to noise than any other criterion known so far, especially with increasing system size. Furthermore it is shown that the number of required local observables scales only polynomially with size, thus making the criteria experimentally feasible.