Efficient error correction for N-particle polarized entangled states distribution over the collective-noise channel exploiting time entanglement

We propose an efficient error correction protocol for N-particle polarization entanglement states distribution over the collective-noise channel.The time entanglement is exploited in our protocol for its stability in noisy environment. The protocol is deterministic and the successful probability is 100 %. Moreover, the setup is just composed of linear optical elements, which are feasible with existing experimental technology. Therefore, the quantum resources can be saved and the protocol can be easily realized in experiments. With all the advantages above, our protocol could be useful in remote quantum communication.