Quantum network based on multiparty quantum secret sharing

In this paper we develop a quantum network with a mutual quantum secure direct communication scheme based on multiparty quantum secret sharing. This quantum network, assuming to contain clusters S, M, and D, shares a sequence of single photons and Greenberger-Horne-Zeilinger (GHZ) states. Each cluster is made of the same or similar quantum nodes gathered or occurring closely together. The feature of this scheme is that the communication between two clusters depends on the agreement of the third cluster. We also prove that such a quantum network is unconditionally secure.