The Theoretical Research On 1?N The Remote Quantum Clone Of Three-qubit Entangled States

The research of quantum entanglement brings a qualitative leap to the development of quantum information.Regarded as an essential informationization resource,quantum entanglement has been widely applied in quantum information.As one of the application fields of quantum entangled state,quantum cloning has attracted more and more attention.Since the three-qubit entangled state has a unique entanglement structure,the results of its application of remote quantum cloning could be different Therefore,it is very important to study the entangled state in remote cloningThis paper firstly described theories of quantum teleportation and quantum cloning,domestic and international research status,introduced concepts of quantum entanglement and theoretical knowledge required in the research process.Secondly,the existing three-qubit entangled state 1?2 remote quantum clones and the existing three-qubit entangled state 1?3 remote quantum clones were introduced.Then,the remote quantum cloning scheme for three-qubit entangled states 1?4,1?5 was designed according to the remote quantum cloning procedure.Besides,the remote quantum cloning of the three-qubit entangled state was extended and the three-body quantum entangled state 1?N was emphasized on theoretical study of remote quantum cloning.Finally,the theoretical study of 1?3 remote quantum cloning of the four-qubit entangled state was carried out.The main research results are as following:Firstly,a remote quantum cloning scheme for three-qubit entangled states 1?4,1?5 and 1?N was proposed.Among proposals,the scheme included the Berk joint measurement by the sender;the measurement result was transmitted to the receiver through the quantum channel;the receiver introduced the appropriate auxiliary particle,and performed the corresponding positive change on the holding particle and the appropriate quantum logic gate operation,then completed the clone.Finally,through the calculation of the fidelity of each scheme,the fidelity was(2N+1)/(3N)(N?2)finally the entanglement of the input state and the output state were calculated.With the change of parameter,it was concluded that the entanglement of the input state and the output state reached the maximum valueSecondly,the remote quantum cloning theory of the three-qubit GHZ entangled state was extended to the four-body entangled state,and the four-body entangled state 1?3 remote quantum cloning scheme was proposed.A suitable six-particle entangled state was chosen to construct the quantum channel;the sender performed two Berkeley-based joint measurements and one Hadamard transformation,then transmitted the measurement results to the receiver through quantum channel.The receiver respectively introduced three auxiliary particles,and selected the appropriate quantum logic gate for recovery operation in order to complete the cloning.The fidelity to the output state was calculated for the cloning scheme,which was obtained as 2/3.The relationship between the entanglement with the input state and the output state with the parameters change was studied,and the corresponding conclusions were obtained,that is,the input state and the output state entanglement reached the maximum when.This paper studied the remote quantum cloning scheme for three-qubit entangled states,and drew a conclusion about construction of quantum channels and selection of quantum logic gates.This paper could guide the study of multi-body quantum clones in the latter.