Deterministic entanglement purification and complete nonlocal Bell-state analysis with hyperentanglement

TL;DR

This paper introduces a deterministic entanglement purification protocol using hyperentanglement, enabling perfect nonlocal Bell-state analysis and significantly improving long-distance quantum communication efficiency.

Contribution

The paper presents a novel deterministic entanglement purification protocol utilizing hyperentanglement, unlike previous probabilistic methods, enhancing efficiency and enabling perfect Bell-state analysis.

Findings

Achieves deterministic purification of maximally entangled states

Enables perfect nonlocal Bell-state analysis

Potential for exponential improvement in quantum communication

Abstract

Entanglement purification is a very important element for long-distance quantum communication. Different from all the existing entanglement purification protocols (EPPs) in which two parties can only obtain some quantum systems in a mixed entangled state with a higher fidelity probabilistically by consuming quantum resources exponentially, here we present a deterministic EPP with hyperentanglement. Using this protocl, the two parties can, in principle, obtain deterministically maximally entangled pure states in polarization without destroying any less-entangled photon pair, which will improve the efficiency of long-distance quantum communication exponentially. Meanwhile, it will be shown that this EPP can be used to complete nonlocal Bell-state analysis perfectly. We also discuss this EPP in a practical transmission.