Purification of Logic-Qubit Entanglement

TL;DR

This paper investigates methods to purify logic-qubit entanglement, effectively correcting bit-flip and phase-flip errors, which are crucial for reliable quantum communication and networks.

Contribution

It introduces an entanglement purification protocol that corrects both bit-flip and phase-flip errors in logic-qubit entanglement, enhancing quantum communication robustness.

Findings

Both bit-flip and phase-flip errors can be effectively purified.

Complete correction of physical-qubit entanglement errors is achieved.

The protocol supports future quantum communication applications.

Abstract

Recently, the theoretical work of Fr\"owis and W. D\"ur (Phys. Rev. Lett. \textbf{106}, 110402 (2011)) and the experiment of Lu \emph{et al.} (Nat. Photon. \textbf{8}, 364 (2014)) both showed that the logic-qubit entanglement has its potential application in future quantum communication and quantum network. However, the entanglement will suffer from the noise and decoherence. In this paper, we will investigate the entanglement purification for logic-qubit entanglement. We show that both the bit-flip error and phase-flip error in logic-qubit entanglement can be well purified. Moreover, the bit-flip error and in physical-qubit entanglement can be completely corrected. The phase-flip error equals to the bit-flip error in logic-qubit entanglement which can also be purified. This EPP may provide some potential applications in future quantum communication and quantum network.