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arXiv · 0808.1532

Graph States for Quantum Secret Sharing

Damian Markham·Barry C. Sanders
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Abstract

We consider three broad classes of quantum secret sharing with and without eavesdropping and show how a graph state formalism unifies otherwise disparate quantum secret sharing models. In addition to the elegant unification provided by graph states, our approach provides a generalization of threshold classical secret sharing via insecure quantum channels beyond the current requirement of 100% collaboration by players to just a simple majority in the case of five players. Another innovation here is the introduction of embedded protocols within a larger graph state that serves as a one-way quantum information processing system.

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Damian Markham, Barry C. Sanders. 2008-08-11. Graph States for Quantum Secret Sharing. https://doi.org/10.1103/physreva.78.042309

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