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Logic-qubit entanglement is a promising resource in quantum informationprocessing, especially in future large-scale quantum networks. In the paper, weput forward an efficient entanglement purification protocol (EPP) for nonlocalmixed logic entangled states with the bit-flip error in the logic qubits of thelogic Bell state, resorting to the photon-atom interaction in low-quality (Q)cavity and atomic state measurement. Different from existing EPPs, thisprotocol can also purify the logic phase-flip error, and the bit-flip error andthe phase-flip error in physic qubit. During the protocol, we only require tomeasure the atom states, and it is useful for improving the entanglement ofphoton systems in future large-scale quantum networks.

Efficient entanglement purification for polarization logic Bell state with the photonic Faraday rotation