Continuous-variable (3,3)-threshold Quantum Secret Sharing Based On One-sided Device-independent Approach

Secret sharing is an important branch of cryptography and an important way of information management.The secret sharing realized by quantum resources is called quantum secret sharing,which is limited by the basic principles of quantum mechanics and has unconditional security in theory.However,in experiments,there are still many security problems in quantum secret sharing.For example,attackers can use the nature of quantum mechanics to design attack strategies skillfully,so that eavesdroppers can obtain secret information without causing errors.Because there may be dishonest participants in quantum secret sharing,he can deceive other internal participants,so that these participants can’t recover the secret information,while dishonest participants can get the secret information.Therefore,effectively solving the internal attacks of dishonest participants can greatly improve the security of quantum secret sharing.In this paper,we study a continuous variable tripartite quantum secret sharing(QSS)scheme,which is based on the one-sided device-independent(1sDI)method.1sDI method regards the secret dealer as a trusted party and all participants as untrusted parties.We try to use three kinds of quantum resources to realize secret sharing,which are GHZ state,cluster state and vLB-like entangled state.The research shows that all three entangled states can finish(3,3)-threshold quantum secret sharing safely,and the vLB-like entangled states can also safely finish(2,3)-threshold quantum secret sharing when there is only eavesdropping in the scheme.When our scheme is attacked by eavesdroppers and dishonest participants,the vLB-like entangled state can guarantee the security of(3,3)-threshold quantum secret sharing.Therefore,vLB-like entangled state is more scalable in quantum secret sharing than GHZ state and cluster state.The vLB-like entangled state can be realized by using two single-mode squeezed vacuum states and several linear optical beam splitters.This model is also easy to be realized in experiments,so the vLB-like entangled state may find its potential application in multi-party quantum communication with unconditional security.