Multi‐hop teleportation of arbitrary multi‐qudit states based on d‐level GHZ channels

Abstract

Abstract The combination of quantum communication technology and wireless networks brings a flexible and secure communication method that adapts to a more complex and open network environment. A new multi‐hop teleportation scheme is investigated for transferring arbitrary unknown multi‐qudit states between two distant parties. Based on a more general quantum routing protocol, intermediate nodes are introduced and linked with each other via d‐level entangled Greenberger‐Horne‐Zeilinger states as quantum channels. In this multi‐hop teleportation protocol, the source node and all the intermediate nodes can perform the entanglement measurement and transmit the measurement results simultaneously, thus reducing the time consumption largely. Furthermore, a general matrix formula is derived between the measurement results and the receiver's state, which enables the receiver to restore the unknown state efficiently. Compared with previous multi‐hop teleportation protocols, the teleportation protocol of arbitrary unknown multi‐qudit states of the authors can transfer more information, and it demonstrates lower computational complexity and higher flexibility.

Keywords

• teleportation
• quantum communication
• quantum entanglement