Research On Multi-hop Lossless Teleportation Based On GHZ States And Cluster States

Based on quantum mechanics,quantum communication has the characteristics of high security and good capability against interference.It has become one of the most concerned research fields.The research of teleportation is gradually extending from the stage of theoretical and experiment to the engineering and practical applications.However,due to the limitation of inevitable coupling effects,the construction of high-speed and long-distance quantum communication network still faces many challenges.This paper firstly proposes a protocol for point-to-point high-dimensional nondestructive teleportation and then introduces multiple intermediate nodes.In the multi-hop network,the third party introduces auxiliary particles to assist in performing channel modulation.If the modulation succeeds,according to the measurement result,the receiver performs a unitary operation to receive the unknown quantum state.If the modulation fails,the sender retains the unknown quantum state.Secondly,this paper proposes a protocol for multi-hop non-destructive teleportation with channel modulation performed by intermediate nodes.However,the limitation of quantum operation technology makes it unrealistic to equip multiple nodes with complicated high-dimensional quantum operation capability.We consider that there are certain relay nodes in a quantum network which are equipped with this processing capability.The other intermediate nodes only provide quantum measurement operations such as single-particle measurements and bell state measurements etc.The solution reduces the requirements for two communication terminals and improves the flexibility of information transmission.Finally,in order to teleport two unknown qudit states between two remote communication terminals,we propose a protocol for non-destructive teleportation based on non-maximally entangled cluster states and the combination of bell and cluster states.All the intermediate nodes simultaneously perform Bell measurement and transmit the measurement results to receiver.According to the measurement results,the receiver performs a unitary operation to form a direct entangled channel.This scheme reduces the computational complexity by ingeniously constructing the matrix.We explore the nondestructive probabilistic teleportation which could restore the original state even if the teleportation fails.