A new quantum secret sharing scheme

Ting-Ting Xu, Zhihui Li, Chen‐Ming Bai +1 more

Huawang Qin, K.S. Tang, Raylin Tso

A multiparty to multiparty quantum secret sharing (QSS) scheme is proposed. In our scheme, the participants can transmit their shared secret to other participants. The old participants and the new participants all can keep their shares secret. The main operations in our scheme are the quantum-logic-gate transformations and the single-particle measurements, which can be realized easily within the present technology.

Changbin Lu, Fuyou Miao, Junpeng Hou

A ($t$, $n$) threshold quantum secret sharing (QSS) is proposed based on a single $d$-level quantum system. It enables the ($t$, $n$) threshold structure based on Shamir's secret sharing and simply requires sequential communication in the $d$-level quantum system to recover secret. Besides, the scheme employs an additional qudit to detect cheats and eavesdropping during secret reconstruction, and allows a participant to use the share repeatedly. Analyses show that the proposed scheme is resistant to typical attacks. The scheme is scalable in the number of participants and easier to realize compared to related schemes. More generally, our scheme also presents a generic method to construct new ($t$, $n$) threshold QSS schemes based on $d$-level quantum system with other classical threshold secret sharing.

Shion Samadder Chaudhury

Ben Fortescue, Gilad Gour

We demonstrate a new construction for perfect quantum secret sharing (QSS) schemes based on imperfect “ramp” secret sharing combined with classical encryption, in which the individual parties' shares are split into quantum and classical components, allowing the former to be of lower dimension than the secret itself. We show that such schemes can be performed with smaller quantum components and lower overall quantum communication than required for existing methods. We further demonstrate that one may combine both imperfect quantum and imperfect classical secret sharing to produce an overall perfect QSS scheme, and that examples of such schemes (which we construct) can have the smallest quantum and classical share components possible for their access structures, something provably not achievable using perfect underlying schemes. Our construction has significant potential for being adapted to other QSS schemes based on stabilizer codes.

Arpita Maitra, Goutam Paul