Localized Entanglement Purification

TL;DR

This paper introduces Localized Entanglement Purification (LEP), a scalable protocol that purifies entanglement at the network region level, reducing resource use by exploiting spatial noise asymmetries.

Contribution

LEP is a novel multipartite entanglement purification method that operates locally on network regions, improving efficiency for large quantum systems.

Findings

LEP reduces resource consumption compared to global schemes.

LEP exploits spatial noise asymmetries for scalable purification.

LEP enables efficient purification in larger quantum networks.

Abstract

Entanglement purification protocols are fundamental primitives in quantum communication, enabling the distillation of high-quality entanglement using only local operations and classical communication. For large multipartite states, however, existing purification schemes typically require substantial resources and become progressively inefficient as system size increases. We introduce a new type of multipartite entanglement purification, Localized Entanglement Purification (LEP), a family of protocols that purify entanglement at the level of network regions rather than globally. By exploiting spatial noise asymmetries, LEP reduces resource consumption and enables scalable purification strategies for larger quantum systems.