Efficient strategy for sharing entanglement via noisy channels with doubly entangled photon pairs

Polarization-entangled photon pairs are easily perturbed in noisy channels. We propose an efficient strategy for sharing polarization-entangled photon pairs (PEPPs) using the additional frequency labels of polarization-frequency doubly entangled photon pairs (DEPPs). The DEPPs are used in transmission, followed by a two-step operation. In the first step, all the bit-flip noises are wiped off efficiently. In the second step, the frequency labels of the DEPPs are erased and the phase-flip noises are wiped off; thus PEPPs in the desired state are extracted. Theoretical analysis shows that this strategy has intrinsically high efficiency, which demonstrates that it has great potential in sharing entanglement via noisy transmission channels.