Security of a kind of quantum secret sharing with single photons

The security of a kind of quantum secret sharing with single photons was analyzed recently, and it was shown that almost all the present schemes in this kind were not secure in the sense that an unauthorized set of participants can gain access to the dealer's secret without introducing any error. In this paper, we give a general model for this kind of quantum secret sharing. Then we analyze the conditions that make it immune to all the present attacks. Finally, we give a feasible way to design secure quantum secret sharing schemes in the model.

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