Generation of Scalable Genuine Multipartite Gaussian Entanglement with a Parametric Amplifier Network

TL;DR

This paper presents a scalable method to generate genuine multipartite Gaussian entanglement in continuous-variable systems using a parametric amplifier network, verified through PPT criteria and entanglement measures.

Contribution

It introduces a novel scheme for scalable multipartite entanglement generation leveraging symmetries in a parametric amplifier network.

Findings

Verified quadripartite, hexapartite, and octapartite entanglement via PPT criteria.

Demonstrated scalability to arbitrary number of parties using entanglement of formation.

Scheme exploits symmetries for efficient generation of large-scale entangled states.

Abstract

Genuine multipartite entanglement is a valuable resource in quantum information science, as it exhibits stronger non-locality compared to bipartite entanglement. This non-locality can be exploited in various quantum information protocols, such as teleportation, dense coding, and quantum interferometry. Here, we propose a scheme to generate scalable genuine multipartite continuous-variable entangled states of light using a parametric amplifier network. We verify the presence of genuine quadripartite, hexapartite, and octapartite entanglement through a violation of the positive partial transpose (PPT) criteria. Additionally, we use $\alpha$-entanglement of formation to demonstrate the scalability of our approach to an arbitrary number of $2N$ genuinely entangled parties by taking advantage of the symmetries present in our scheme.