One-step error correction for multipartite polarization entanglement

TL;DR

This paper introduces two efficient one-step error correction protocols for multipartite polarization-entangled states, utilizing spatial and frequency entanglement, achieving deterministic success and minimal resource consumption for quantum communication.

Contribution

The paper presents novel one-step error correction protocols that are deterministic, resource-efficient, and applicable to multipartite entangled systems, differing from traditional purification methods.

Findings

Both protocols achieve 100% success probability.

They work deterministically without significant resource consumption.

Applicable to long-distance quantum communication.

Abstract

We present two economical one-step error-correction protocols for multipartite polarization-entangled systems in a Greenberger-Horne-Zeilinger state. One uses spatial entanglement to correct errors in the polarization entanglement of an N-photon system, resorting to linear optical elements. The other uses frequency entanglement to correct errors in the polarization entanglement of an N-photon system. The parties in quantum communication can obtain a maximally entangled state from each N-photon system transmitted with one step in these two protocols, and both of their success probabilities are 100%, in principle. That is, they both work in a deterministic way, and they do not largely consume the less-entangled photon systems, which is far different from conventional multipartite entanglement purification schemes. These features may make these two protocols more useful for practical applications in long-distance quantum communication.