  Quantum multi-hop teleportation is important in the field of quantum
communication. In this study, we propose a quantum multi-hop communication
model and a quantum routing protocol with multi-hop teleportation for wireless
mesh backbone networks. Based on an analysis of quantum multi-hop protocols, a
partially entangled Greenberger--Horne--Zeilinger (GHZ) state is selected as
the quantum channel for the proposed protocol. Both quantum and classical
wireless channels exist between two neighboring nodes along the route. With the
proposed routing protocol, quantum information can be transmitted hop by hop
from the source node to the destination node. Based on multi-hop teleportation
based on the partially entangled GHZ state, a quantum route established with
the minimum number of hops. The difference between our routing protocol and the
classical one is that in the former, the processes used to find a quantum route
and establish quantum channel entanglement occur simultaneously. The Bell state
measurement results of each hop are piggybacked to quantum route finding
information. This method reduces the total number of packets and the magnitude
of air interface delay. The deduction of the establishment of a quantum channel
between source and destination is also presented here. The final success
probability of quantum multi-hop teleportation in wireless mesh backbone
networks was simulated and analyzed. Our research shows that quantum multi-hop
teleportation in wireless mesh backbone networks through a partially entangled
GHZ state is feasible.
