Entanglement purification and quantum error correction

TL;DR

This paper reviews entanglement purification techniques for quantum states, emphasizing their theoretical development, performance under various conditions, and applications in quantum communication and computation.

Contribution

It provides a comprehensive overview of recent theoretical advances in entanglement purification and its relation to quantum error correction, highlighting its importance in quantum information processing.

Findings

Various purification protocols analyzed under ideal and realistic conditions

Demonstrated applications in quantum communication and computation

Highlighted the fundamental role of purification in quantum information

Abstract

We give a review on entanglement purification for bipartite and multipartite quantum states, with the main focus on theoretical work carried out by our group in the last couple of years. We discuss entanglement purification in the context of quantum communication, where we emphasize its close relation to quantum error correction. Various bipartite and multipartite entanglement purification protocols are discussed, and their performance under idealized and realistic conditions is studied. Several applications of entanglement purification in quantum communication and computation are presented, which highlights the fact that entanglement purification is a fundamental tool in quantum information processing.