Universal and optimal error thresholds for measurement-based entanglement purification

TL;DR

This paper establishes a universal error threshold for measurement-based entanglement purification, showing that local noise up to 24% per particle can be tolerated, significantly improving robustness in quantum communication.

Contribution

It derives a protocol-independent, universal error threshold for measurement-based entanglement purification, applicable to both bipartite and multipartite systems, under realistic noise conditions.

Findings

Local noise per particle up to 24% is tolerable.

Error threshold increased by nearly an order of magnitude.

Results apply to both bipartite and multipartite entanglement purification.

Abstract

We investigate measurement-based entanglement purification protocols (EPP) in the presence of local noise and imperfections. We derive a universal, protocol-independent threshold for the required quality of the local resource states, where we show that local noise per particle of up to 24% is tolerable. This corresponds to an increase of the noise threshold by almost an order of magnitude, based on the joint measurement-based implementation of sequential rounds of few-particle EPP. We generalize our results to multipartite EPP, where we encounter similarly high error thresholds.