Multi-hop Quantum Teleportation Scheme of the 6-Qubit Entangled State by Intermediate Nodes with the Best Efficiency

Quantum multi-hop teleportation is important in the field of quantum communication. In this paper, we proposed a Multi-hop quantum teleportation scheme of the 6-qubit entangled state. In the proposed scheme,  the sender teleports the desired information by transmitting a 6-qubit entangled quantum state to the receiver through the N intermediate nodes between the source node and destination node. Therefore,  the sender and receiver are not in direct connection with each other, and the information is teleported in Multi-hop between the N neighbor nodes. Also, in this scheme, the 7-qubit entangled states as quantum channels are shared between neighbor nodes.  Always, teleportation processes over long distances are problematic because of the existence of the environmental noise which is almost inescapable and adversely affects the entangled quantum channel. This scheme explains the quantum teleportation between N nodes in N-1 steps and it is suitable for teleportation processes over long distances. Also, we calculate the efficiency of this scheme and indicate the advantages of this protocol.