Quantum Secret Sharing Between Multiparty And Multiparty And Quantum Anonymous Ranking Based On Multi-level Single-particle States

Quantum secret sharing is an important research field in quantum communication.Compared with the classical secret sharing,its security is based on the principles of quantum mechanics rather than computational complexity.Thus,in theory,quantum secret sharing can obtain unconditional security.The research of quantum secret sharing has two aspects:the quantum secret sharing of sharing quantum states and the quantum secret sharing of sharing classical information.We mainly study the quantum secret sharing of sharing classical information.In this thesis,we propose two schemes about quantum secret sharing—quantum secret sharing between multiparty and multiparty based on multi-level single-particle states and anonymous ranking based on quantum secret sharing using single-particle states.We discuss the security of these two schemes,and consider two simple cases as example to demonstrate the correctness of the presented schemes.In the first scheme,we use d~2(d is an odd prime number)single-particle states which belong to d mutually unbiased bases to realize quantum secret sharing between multiparty(r members of group A)and multiparty(q members of group B).All members of group A directly encode private data into their multi-level single-particle states via unitary operations.Then,the last member of group A sends 1/q of the resulting sequence to each member of group B.After all members of group B measure each of single-particle states,secret information shared by all members of group A is also shared by all members of group B.In our protocol,we randomly insert fake particles in order to avoid eavesdropping.Then,we analyze the protocol,and prove the correctness and feasibility of the protocol.Finally,we give the security analysis of our protocol,and show that the protocol can avoid eavesdropping,and resist interception-resend attack,entanglement attack,and other means of eavesdropping.In the second scheme,we establish a quantum secret sharing between one party and multiparty using the properties of d mutually unbiased bases.On this basis,a new quantum multiparty anonymous ranking protocol,where there are a server and some participants,is proposed.Every participant can obtain a secret sequence by establishing secret sharing.They encode their own private data into their own secret sequence,then send their respective encoded sequence to the server.After calculation,the server publishes his result.According to the information released by the server,each participant can calculate their data rankings.In this process,the data ranking is anonymous to all the participants except the owner.Then,we analyze the protocol,and prove the correctness and feasibility of the protocol.Finally,the security of this scheme with respect to different kinds of attacks is proved.