Bidirectional and Asymmetric Controlled Quantum Teleportation in the Three-dimensional System

In this paper, a novel scheme for bidirectional and asymmetric controlled quantum teleportation in the three-dimensional system via a nine-qutrit entangled state as the quantum channel is proposed. It means that Alice wants to transmit an unknown three-qutrit entangled state to Bob, at the same time, Bob wants to transmit an unknown two-qutrit entangled state to Alice under the control of the supervisor Charlie. The preparation of quantum channel becomes more realizable by introducing several auxiliary qutrits, which is the direct product state of a five-qutrit entangled state and a four-qutrit entangled state. In this scheme, both Alice and Bob can reconstruct desired states by performing three-dimensional Bell-state measurements, Controlled-NOT gates, Hadamard gates, and Weyl operations. At the end of this paper, the efficiency analysis of the scheme and some conclusions are presented. Compared with previous three-dimensional teleportation schemes, the proposed scheme can transmit more quantum information with higher intrinsic efficiency.