Controlled teleportation of multi-qudit quantum information

We propose a scheme for realizing a controlled teleportation of random$M$-qudit quantum information under the control of $N$ agents. The resourceconsumption includes a prearranged $(2M + N + 1)$-qudit entangled quantumchannel and $(2M + N + 1)log _2 d$-bit classical communication. And thequantum operations used in the teleportation process are a series ofgeneralized Bell-state measurements, single-qudit measurements, qudit$H$-gates, qudit-Pauli gates and qudit phase gates. It is shown that theoriginal state can be restored by the receiver only on condition thatall the agents work in collaboration with each others.If one agent does not cooperate with the other, the originalstate cannot be fully recovered.