English

Quantum Secret Sharing with Continuous Variable Graph State

Quantum Physics 2013-04-17 v1

Abstract

In this paper we study the protocol implementation and property analysis for several practical quantum secret sharing (QSS) schemes with continuous variable graph state (CVGS). For each QSS scheme, an implementation protocol is designed according to its secret and communication channel types. The estimation error is derived explicitly, which facilitates the unbiased estimation and error variance minimization. It turns out that only under infinite squeezing can the secret be perfectly reconstructed. Furthermore, we derive the condition for QSS threshold protocol on a weighted CVGS. Under certain conditions, the perfect reconstruction of the secret for two non-cooperative groups is exclusive, i.e. if one group gets the secret perfectly, the other group cannot get any information about the secret.

Keywords

Cite

@article{arxiv.1304.4477,
  title  = {Quantum Secret Sharing with Continuous Variable Graph State},
  author = {Yadong Wu and Runze Cai and Guangqiang He and Jun Zhang},
  journal= {arXiv preprint arXiv:1304.4477},
  year   = {2013}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-22T00:00:41.480Z