Faithful entanglement distribution using quantum multiplexing in noisy channel

Quantum multiplexing provides us with a powerful approach that can distribute entanglement using only a single photonic pulse to interact with remote quantum memories. In common entanglement distribution protocols, the entanglement purification is often exploited if the distributed entanglement is degraded by the channel noise. In this protocol, we propose a faithful entanglement distribution protocol using quantum multiplexing of photon in a collective noise channel. By designing the encoding and decoding setup, our protocol can resist the collective noise. When the protocol is successful, the parties can obtain two pairs of maximally entangled states. When the protocol fails, the parties can still obtain one pair of maximally entangled state. Our protocol does not require the entanglement purification, so that it is more efficient. The above advantages enable our protocol to have important application potential in the future quantum communication field.