Percolation of secret correlations in a network

TL;DR

This paper investigates how secret classical correlations can percolate through large networks, revealing that complex percolation phenomena observed in quantum entanglement also occur in classical networks, depending on network topology.

Contribution

It demonstrates that percolation of secret correlations in classical networks exhibits behaviors previously thought unique to quantum entanglement, highlighting a classical analogy.

Findings

Percolation behavior depends on network topology.

Classical secret correlations can percolate similarly to quantum entanglement.

Percolation phenomena are not exclusively quantum.

Abstract

In this work, we explore the analogy between entanglement and secret classical correlations in the context of large networks, more precisely the question of percolation of secret correlations in a network. It is known that entanglement percolation in quantum networks can display a highly nontrivial behavior depending on the topology of the network and on the presence of entanglement between the nodes. Here we show that this behavior, thought to be of a genuine quantum nature, also occurs in a classical context.