Purification of Logic-Qubit Entanglement

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.