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arXiv · 1109.4731

Classical versus Quantum Graph-based Secret Sharing

Jérôme Javelle·Mehdi Mhalla·Simon Perdrix
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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.

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Jérôme Javelle, Mehdi Mhalla, Simon Perdrix. 2011-09-22. Classical versus Quantum Graph-based Secret Sharing. https://arxiv.org/abs/1109.4731

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