A Verifiable Threshold Quantum Secret Sharing Scheme Using Interpolation Method

Verifiable secret sharing schemes are important in cloud computing environments. Thus a key can be distributed over many servers by threshold secret sharing mechanism. The key is then reconstructed when needed. Secret sharing has also been suggested for sensor networks where the links are liable to be tapped by sending the data in shares which makes the task of the eavesdropper harder. The security in such environments can be made greater by continuous changing of the way the shares are constructed. In the present paper we proposed a verifiable quantum -threshold secret sharing scheme using Lagrange interpolation and two qudit Bell state in -dimensional Hilbert space. As discussed in the second last section of this paper, the proposed scheme is enough secure against the fraud in secret share distribution phase as well as secret reconstruction phase.