Multipartite entanglement percolation

TL;DR

This paper introduces multipartite entanglement percolation strategies that outperform classical and previous quantum methods in propagating entanglement across various lattice-based quantum networks.

Contribution

It develops novel multipartite measurement protocols that universally enhance entanglement percolation in quantum networks with non-maximally entangled bonds.

Findings

Multipartite strategies outperform classical percolation in all tested lattices.

Quantum protocols surpass previous methods across all initial entanglement levels.

The approach is effective for various lattice geometries.

Abstract

We present percolation strategies based on multipartite measurements to propagate entanglement in quantum networks. We consider networks spanned on regular lattices whose bonds correspond to pure but non-maximally entangled pairs of qubits, with any quantum operation allowed at the nodes. Despite significant effort in the past, improvements over naive (classical) percolation strategies have been found for only few lattices, often with restrictions on the initial amount of entanglement in the bonds. In contrast, multipartite entanglement percolation outperform the classical percolation protocols, as well as all previously known quantum ones, over the entire range of initial entanglement and for every lattice that we considered.