<inline-formula> <tex-math notation="LaTeX">$(t,n)$ </tex-math></inline-formula>-Threshold Quantum Secret Sharing Based on One-Way Local Distinguishability

Abstract

We propose a quantum secret sharing protocol with a set of orthogonal generalized Bell states and one-way local distinguishability. In the proposed protocol, the participants use local projective measurements and one-way classical communication to distinguish among four Bell states, and we combine with the Shamir (t,n) -threshold scheme to realize (t,n) -threshold access structure. Compared to the existing schemes, the practical communication costs are dramatically improved as there is need for one-way classic communication between the two participants in our protocol. In addition, the efficiency in the process of information transmission will also be improved, as the number of communications will be reduced. At last, we demonstrate our protocol to be secure against both eavesdropping and dishonest participants.

Keywords

• Quantum secret sharing
• local distinguishability
• one-way classical communication
• generalized bell state