Purification of genuine multipartite entanglement

TL;DR

This paper compares multipartite and bipartite purification methods for genuine multipartite entanglement, demonstrating that multipartite purification is more efficient in terms of input states for achieving a certain fidelity.

Contribution

It introduces a straightforward multipartite purification algorithm and shows its advantage over bipartite methods combined with teleportation in terms of resource efficiency.

Findings

Multipartite purification requires fewer input states for imperfect fidelity.

Complete purification demands infinite input states in both methods.

Multipartite approach offers a significant resource advantage in practical scenarios.

Abstract

In tasks, where multipartite entanglement plays a central role, state purification is, due to inevitable noise, a crucial part of the procedure. We consider a scenario exploiting the multipartite entanglement in a straightforward multipartite purification algorithm and compare it to bipartite purification procedures combined with state teleportation. While complete purification requires an infinite amount of input states in both cases, we show that for an imperfect output fidelity the multipartite procedure exhibits a major advantage in terms of input states used.