Quantum parallel teleportation of multi-qudit state via different paths

We propose a novel scheme of quantum parallel teleportation for arbitrary unknown multi-qudit states under the principal of flow split. With the assistance of the central server and the pre-shared entanglement distributed between the intermediate nodes in each path, any arbitrary unknown multi-qudit state can be successfully restored by the final receiver via parallel transmission through various paths. Due to parallel teleportation with distinct paths, this quantum network teleportation can resist network congestion. In addition, only two-qudit measurements are required by the intermediate nodes and the sender node and only one-qudit unitary operation is required by the destination node which reduces the technical requirements of network nodes and makes our protocol more practical and flexible. The analysis also demonstrates that our propose scheme can achieve a good performance in terms of communication cost and time delay. Finally, the unknown states of multiple qudits with hybrid dimensions could be teleported via quantum channels with different dimensions. Graphic abstract