English

Classical versus Quantum Graph-based Secret Sharing

Quantum Physics 2011-09-23 v1

Abstract

We study a simple graph-based classical secret sharing scheme: every player's share consists of a random key together with the encryption of the secret with the keys of his neighbours. A characterisation of the authorised and forbidden sets of players is given. Moreover, we show that this protocol is equivalent to the graph state quantum secret sharing (GS-QSS) schemes when the secret is classical. When the secret is an arbitrary quantum state, a set of players is authorised for a GS-QSS scheme if and only if, for the corresponding simple classical graph-based protocol, the set is authorised and its complement set is not.

Keywords

Cite

@article{arxiv.1109.4731,
  title  = {Classical versus Quantum Graph-based Secret Sharing},
  author = {Jérôme Javelle and Mehdi Mhalla and Simon Perdrix},
  journal= {arXiv preprint arXiv:1109.4731},
  year   = {2011}
}

Comments

8 pages, 1 figure

R2 v1 2026-06-21T19:08:38.559Z