Entanglement percolation in quantum complex networks

TL;DR

This paper explores how entanglement percolation can be used to establish long-distance quantum entanglement in complex networks, providing analytical models and demonstrating significant improvements in percolation thresholds.

Contribution

It introduces a theoretical framework for entanglement percolation in quantum complex networks and shows how quantum strategies improve percolation thresholds in various network models.

Findings

Quantum strategies significantly lower percolation thresholds.

Analytical results match numerical simulations.

Enhanced entanglement distribution in small-world and real-world networks.

Abstract

Quantum networks are essential to quantum information distributed applications, and communicating over them is a key challenge. Complex networks have rich and intriguing properties, which are as yet unexplored in the quantum setting. Here, we study the effect of entanglement percolation as a means to establish long-distance entanglement between arbitrary nodes of quantum complex networks. We develop a theory to analytically study random graphs with arbitrary degree distribution and give exact results for some models. Our findings are in good agreement with numerical simulations and show that the proposed quantum strategies enhance the percolation threshold substantially. Simulations also show a clear enhancement in small-world and other real-world networks.