Design of an entanglement purification protocol selection module

TL;DR

This paper develops a module for dynamically selecting the most suitable entanglement purification protocol in quantum networks, considering realistic errors, and demonstrates its high success rate in identifying optimal protocols.

Contribution

It introduces a novel module that adaptively chooses purification protocols based on error models, enhancing quantum network fidelity management.

Findings

The module achieves nearly 90% success in selecting optimal protocols.

Performance varies with different error channels, influencing protocol effectiveness.

The approach outperforms default and exhaustive search methods.

Abstract

Entanglement purification protocols, designed to improve the fidelity of Bell states over quantum networks for inter-node communications, have attracted significant attention over the last few decades. These protocols have great potential to resolve a core challenge in quantum networking of generating high-fidelity Bell states. However, previous studies focused on the theoretical discussion with limited consideration of realistic errors. Studies of dynamically selecting the right purification protocol under various realistic errors that populate in practice have yet to be performed. In this work, we study the performance of various purification protocols under realistic errors by conducting density matrix simulations over a large suite of error models. Based on our findings of how specific error channels affect the performance of purification protocols, we propose a module that can be embedded in the quantum network. This module determines and selects the appropriate purification protocol, considering not only expected specifications from the network layer but also the capabilities of the physical layer. Finally, the performance of our proposed module is verified using two benchmark categories. Compared with the default approach and exhaustive search approach, we show a success rate approaching 90% in identifying the optimal purification protocol for our target applications.