Research On Quantum Secret Sharing Scheme Based On Entangled State

With the development of science and technology,quantum computer has been produced.With the development of quantum field,quantum cryptography has emerged.Quantum cryptography is generated by the combination of classical cryptography and quantum mechanics.Its security is completely based on its basic principles of quantum mechanics,mainly based on the physical characteristics of "uncertainty principle","non cloning principle","non orthogonal quantum state indistinguishability principle",etc.theoretically,it can achieve unconditional security.Quantum cryptography can be divided into four categories: quantum key distribution,quantum secret sharing,quantum identity authentication and quantum secure communication.In this paper,we study three quantum secret sharing schemes with different entangled states.We mainly study the secret sharing schemes in three entangled states:asymmetric state,cluster state and symmetric state.The main contents include:1.Quantum state sharing based on asymmetric entangled channels.Five-particle asymmetric entanglement is used as the quantum channel to realize the quantum secret sharing of unknown single particle and unknown two particle entanglement.2.Secret sharing scheme of n-bit quantum states based on Cluster state.In order to share n-bit Quantum States better,two schemes of cluster state quantum secret sharing are proposed.Finally,according to the actual situation and needs,we combine the specific quantum state with the specific quantum circuit,and transform it into the shared quantum state we need.The security analysis shows that the scheme is safe and reliable,and the efficiency is improved compared with other schemes.3.Quantum state sharing based on symmetric quantum channels.Considering three cases,three quantum secret sharing schemes based on symmetric channel are proposed.The first scheme is based on the existing single quantum state secret sharing scheme of N participants,which is extended to the twoquantum state secret sharing scheme of N participants,which provides the theoretical basis for the secret sharing of three or even more quantum states.The second scheme is a new two quantum state secret sharing scheme with n participants.The third scheme is a secret sharing scheme in which the secret restorer holds two particles.