# A simple model of Small-World Quantum Networks

## TL;DR

This paper introduces a simple small-world quantum network model with a central node, demonstrating that adding few shortcuts enables long-distance entanglement sharing, relevant for practical quantum communication.

## Contribution

It presents a new small-world quantum network model emphasizing a central node, showing how minimal shortcuts facilitate entanglement distribution over long distances.

## Key findings

- Few shortcuts enable maximally entangled pairs between arbitrary nodes
- Thresholds for initial entanglement and node distance are identified
- Model is relevant for practical quantum networks with limited lab resources

## Abstract

A simple model of small world quantum networks, in which a central node plays essential role, is introduced for sharing entanglement over long distances. In view of the challenges in setting up advanced quantum labs which allows only few nodes in a network to play a central role, this kind of small world network may be more relevant for entanglement distribution. It is shown that by only adding a small number of short-cuts, it is possible to produce maximally entangled pairs between arbitrary nodes in the network. Besides this, the threshold values for the initial amount of entanglement and the distance between nodes, for obtaining a highly entangled states shared between remote points are also investigated.