The Research Of Quantum Secret-sharing With Cluster State

Since cluster state and one way quantum computer model were found by Raussendorf and Brigel,many scientists have paid much attention on the processing of quantum information with cluster state.Now it becomes a research focus and a lot of interesting achievements have been got.Cluster state is a highly entangled multi-qubit state that has unique entangle properties and rich structure.It is shown in theory that any one-qbit operation and the two-qbit control-not can be performed on the particles of cluster state according to the local single-bit measurement results,so that any quantum logic gate can be realized,thus any information treatment can be carried out with cluster state.In this paper,we investigate mainly on quantum security-sharing,classical secret information communication and the transmitting of quantum state without Bell-basis measurement with cavity QED and multi-users distribution of quantum information.The thesis consists of five chapters.In the part of prolegomenon,the basic quantum information theory,its history and our work were briefly described. In the second chapter,the basic properties of cluster state and the way of preparing of it is investigated,then we proposal a preparation method of 3-particle GHZ state with cluster state and a scheme of realization quantum secret-sharing with three GHZ state.Our protocol is high efficient for almost all the cluster states can-be carry the quantum information except for only fewer check samples.In chapter three,we present a method to realize quantum secret-sharing with 4-qubit cluster state and analysis its safety.It is found that it much safer because the error rate is very high if the eavesdropper attacks it through the single-particle entanglement.In chapter four,we present a quantum secret-sharing protocol without Bell-basis measurement based on cluster state and cavity QED.In our proposal,the measurement is very direct and convenient for it needs only independent local measurement instead of Bell-basis measurement.And the fidelity is higher.In chapter five,we give a conclusion of this paper and make an expectation of the future in this field.