Research On Semi-quantum Secret Sharing Based On Single Particle States

With the expansion of the quantum information in the practical application,quantum cryptography has developed rapidly.As a research branch of the quantum cryptography,semi-quantum secret sharing(SQSS)is a new research area which is combined with secret sharing and quantum cryptography.SQSS does not require all parties to possess quantum capabilities.The participant without quantum capabilities is called classic participant and restricted to perform the following operations:(1)measuring the qubits in the fixed computational basis;(2)returning the qubits without disturbance;(3)preparing the(fresh)qubits in the fixed computational basis;(4)reordering the qubits(via different delay lines).In SQSS,secret distributor generally has full quantum capabilities.No participant can recover the secret alone,and only the participants work together can they recover the secret.This thesis focuses on the design and analysis of SQSS protocol.The mainly research results are as follows:(1)A SQSS protocol based on single photon is proposed,which requires classical parties to have measurement capability.The protocol uses the single photon as the initial quantum resource and adopts the circular transmission mode.(2)A SQSS protocol based on single photon is proposed,which does not require classical parties to have measurement capability.The protocol uses the single photon as the initial quantum resource and adopts the circular transmission mode.(3)A tree-type multiparty SQSS protocol based on d-level single particle states is proposed.The protocol utilizes d-level single particle states as quantum carriers and the particles are transmitted in a tree-type mode.The protocol realizes the classic secret information sharing by modulo d summation,and the secrets finally shared are not random but determined.Classical parties only perform qudit shifting operation to encode their own secret information,and do not need any quantum measuring device.(4)A circular multiparty SQSS protocol based on d-level single particle states is proposed.The protocol utilizes d-level single particle states as quantum carriers and the particles are transmitted in a circular mode.The protocol uses modulo d summation to realize the classic secret information sharing,and the secrets finally shared are not random but determined.Classical parties only perform qudit shifting operation to encode their own secret information,and do not need any quantum measuring device.