( t , n ) Threshold Quantum Secret Sharing Using Rotation Operation

In this paper, a ( t , n ) threshold quantum secret sharing protocol for sharing quantum states is proposed by using rotation operation and Lagrange interpolation. In this protocol, according to Shamir’s ( t , n ) secret sharing, the dealer first shares a secret with n participants, and encrypts each quantum state through rotation operation. Then, each participant performs his encoding operation on each quantum state according to his share. Finally, the initial quantum states can be recovered by any t out of the n participants using Lagrange interpolation. The performance analysis shows that our protocol is correct and can resist some common external and internal attacks. Moreover, compared with related protocols, our protocol is more feasible with current technology. Furthermore, simulation experiments on the IBM Q Experience cloud platform demonstrate the effectiveness of the presented protocol.