Graph States for Quantum Secret Sharing

Details Graph States for Quantum Secret Sharing Graph States for Quantum Secret Sharing

2008-08-11

arxiv.org/abs/0808.1532v3

Physical Review A 78, 042309 (2008)

Physics

Quantum Physics

This version amends the original security claim for QQ (n,n): in fact the secret is not completely denied to the adversary in

Scientific paper

10.1103/PhysRevA.78.042309

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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