Research On Two Types Of Quantum Secret Sharing Schemes

Secret sharing is a cryptographic protocol that many participants share the master key together,where the dealer distributes a shared secret among a set of players,so that only certain authorized subsets can collaboratively recover the secret,the unauthorized subsets can not get any information about the secret.The protocol,first introduced by Shamir and Blakley in 1979,has profound significance,such as bank accounts,missile launch sequences,etc.Quantum secret sharing is the natural extension of the classical protocol to the quantum domain:the dealer distributes either a classical secret(string of bits)or a quantum secret(quantum state)to the set of players via quantum channels.In 1999,Hill-ery et al proposed the first quantum secret sharing scheme using GHZ state and gave a.Specific exposition.Its basic idea is to share an unknown quantum state in two particip-ants,in order to restore the original information,the two sides must cooperate with the other.This concept provides a new idea and effective way for security management of key.Because quantum secret sharing is useful for distributing shared quantum keys,non counterfeit 'quantum money',secure quantum memory,and multipartite quantum communication,so many scholars in the academic field have invested in this research to make it rapid development and wide application.In this paper,hypercycle quantum access structure and the verifiable quantum secret sharing scheme are studied,the main research results are as follows:1.Combining hypercycle and improving quantum secret sharing scheme proposed by Nascimento A C A et al,we figure out all the hypercycle quantum access structures and their corresponding optimal restricted ones in the sense of isomorphism.Then,it is judged that whether these optimal restricted quantum access structures can be realized by IPQSS.2.We propose a realizable(n,n)threshold quantum secret sharing scheme by using Chinese Remainder Theorem and a Bell state.In our scheme,the distributor generates a two-qubit Bell state in Hilbert space,and the participants and distributor perform some unitary operations on the Bell state to reconstruct the secret information.When the secret is reconstructed,we can verify whether some dishonest participants provide fake shadows to prevent secret forgery.