Distribution of Gaussian Entanglement in Linear Optical Systems

TL;DR

This paper investigates how Gaussian entanglement is distributed in linear optical networks, introducing a new quantifier and revealing that entanglement distribution follows beam-splitter transmittance properties, offering deeper insights into quantum network structure.

Contribution

It introduces a novel quantifier for bipartite Gaussian entanglement and demonstrates its conservation and distribution properties in linear optical networks.

Findings

Entanglement distribution follows beam-splitter transmittance.

A new quantifier for bipartite Gaussian entanglement is proposed.

Explicit conditions for entanglement distribution in networks are provided.

Abstract

Entanglement is an essential ingredient for building a quantum network that can have many applications. Understanding how entanglement is distributed in a network is a crucial step to move forward. Here we study the conservation and distribution of Gaussian entanglement in a linear network using a new quantifier for bipartite entanglement. We show that the entanglement can be distributed through a beam-splitter in the same way as the transmittance and the reflectance. The requirements on the entangled states and the type of networks to satisfy this relation are presented explicitly. Our results provide a new quantification for quantum entanglement and further insights into the structure of entanglement in a network.