Multiparty Controlled Quantum Secure Direct Communication of d-Dimensional Using GHZ state

Quantum secure direct communication (QSDC) aims to allow two remote parties to communicate directly without creating a private key in advance and then using it to encrypt the secret message. In this paper, a multiparty controlled secure quantum communication of d-dimensional is proposed based on d-dimensional maximally entangled Greenberger-Horne-Zeilinger (GHZ) state and teleportation. After using decoy photons to check eavesdropping efficiently for the purpose of the quantum channel security, the sender encodes the secret message of d-dimensional on a sequence of additional particle states and then fulfills teleportation of the secret through d-dimensional Bell state measurement (DBM) and X-basis or Z-basis measurement. The receiver can recover the secret message by combining his measurement result with the senderpsilas and controllerpsilas results. If an eavesdropper Eve cannot escape from the communication parties eavesdropping check, our scheme is completely secure because the transmitting particle sequence does not carry the secret message.