Research On Bidirectional Quantum Operation Teleportation And Its Generalization

Quantum communication is a new subject combining quantum mechanics and classical communication.It uses quantum state as information carrier to emit,transmit and process signals,and has great advantages in transmission efficiency,communication securi-ty,long-distance communication and the amount of information.In recent years,this subject has gradually developed from theory to experiment,and to practicality,which has become an important field of communication development in the 21st century.This paper focuses on the branch of quantum communication:quantum operation teleportation,and studies bidirectional quantum operation teleportation protocol and cyclic-controlled quantum operation teleportation protocol.The main contents are as follows:1.Bidirectional quantum operation teleportation.Integrating bidirectional quantum tele-portation with quantum operation teleportation and using different entangled states as quantum channels,two schemes are designed for bidirectional quantum operation teleportation.Assume that there are two observers:Alice and Bob,who are not only the sender but also the receiver.By using Bell-state and single-qubit measurement,controlled-not gate operation and apporpri-ate unitary transformation,Alice can implement an unknown single-qubit unitary operation UA upon Bob's quantum system,and Bob can also implement an unitary operation UB upon Al-ice's quantum system simultaneously.Therefore,the bidirectional transmission of the unitary operation is realized.2.Cyclic-controlled quantum operation teleportation.Based on the bidirectional quantum operation teleportation protocol,the controller and participants are added.Only with the help of controller David,Alice can implement an unknown single-qubit unitary operation on Bob's target qubit,while Bob can execute an single-qubit unitary operation on Charlie's target qubit and Charlie can also perform an unknown single-qubit unitary operation on Alice's target qubit.Then,our scheme is generalized to controlled quantum operation teleportation with n(n?3)agents participating in the cycle.At the same time,by replacing the quantum channels,we can realize the reverse cyclic-controlled quantum operation teleportation.3.The influence of noise on cyclic-controlled quantum operation teleportation.In prac-tice,the quantum system can not be completely closed,and it is usually inevitably affected by noise.On the basis of the cyclic-controlled quantum operation teleportation scheme under ideal environment,this paper consider the effects of amplitude-damping noise,phase-damping noise,bit-flip noise and phase-flip noise on the scheme,and use fidelity to analyze the amount of information lost in each noisy environment.