English

Efficient Quantum Secret Sharing Scheme Based On Monotone Span Program

Quantum Physics 2023-07-05 v3 Cryptography and Security

Abstract

How to efficiently share secrets among multiple participants is a very important problem in key management. In this paper, we propose a multi-secret sharing scheme based on the GHZ state. First, the distributor uses monotone span program to encode the secrets and generate the corresponding secret shares to send to the participants. Then, each participant uses the generalized Pauli operator to embed its own secret share into the transmitted particle. The participant who wants to get the secrets can get multiple secrets at the same time by performing a GHZ-state joint measurement. Futhermore, the scheme is based on a monotone span program, and its access structure is more general than the access structure (t,n) threshold. Compared with other schemes, our proposed scheme is more efficient, less computational cost.

Keywords

Cite

@article{arxiv.2303.00226,
  title  = {Efficient Quantum Secret Sharing Scheme Based On Monotone Span Program},
  author = {Shuangshuang Luo and Zhihui Li and Depeng Meng and Jiansheng Guo},
  journal= {arXiv preprint arXiv:2303.00226},
  year   = {2023}
}