Directed percolation effects emerging from superadditivity of quantum networks

TL;DR

This paper explores how entanglement-induced non-additivity in quantum networks leads to a form of directed percolation, enabling faster high-capacity information transfer and revealing a new entanglement-based quantum capacity percolation phenomenon.

Contribution

It introduces a novel percolation framework for quantum network capacity influenced by entanglement non-additivity, analyzing directed and randomly oriented percolation models.

Findings

High capacity transfer occurs faster in superadditive regimes.

Percolation properties differ significantly between directed and random orientations.

New entanglement-based quantum capacity percolation phenomenon identified.

Abstract

Entanglement indcued non--additivity of classical communication capacity in networks consisting of quantum channels is considered. Communication lattices consisiting of butterfly-type entanglement breaking channels augmented, with some probability, by identity channels are analyzed. The capacity superadditivity in the network is manifested in directed correlated bond percolation which we consider in two flavours: simply directed and randomly oriented. The obtained percolation properties show that high capacity information transfer sets in much faster in the regime of superadditive communication capacity than otherwise possible. As a byproduct, this sheds light on a new type of entanglement based quantum capacity percolation phenomenon.