Double-direction cyclic controlled quantum teleportation of arbitrary unknown single-qutrit states
Jiayin Peng, Miao Liu, Jiangang Tang, Zhen Yang, Hongxuan Lei · International Journal of Quantum Information · 2024
To explore the multi-directional quantum communication in a three-dimensional (3D) system, 13- and [Formula: see text]-qutrit entangled states are constructed by 3D Hadamard gates and 3D controlled NOT gates in this paper. Then we propose a novel theoretical scheme to fulfill four-party double-direction cyclic controlled quantum teleportation (QT) by using a 13-qutrit entangled state as the quantum channel. In this scheme, each observer can teleport two different arbitrary unknown single-qutrit states to the other two observers under the control of the supervisor, respectively and synchronously, which realizes cyclic controlled QT in both clockwise and counterclockwise directions simultaneously. Each observer performs two 3D Bell basis measurements and the supervisor carries out a single-qutrit measurement in the 3D [Formula: see text]-basis. After hearing the measurement results from the other two observers and the supervisor, each observer can restore the target states by utilizing suitable 3D Weyl operators. Based on the [Formula: see text]-qutrit entangled channel that we construct, we exhibit in detail how to extend the presented four-party double-direction cyclic controlled QT scheme to the situation with [Formula: see text] ([Formula: see text]) observers. Analysis shows that the success probability of both the proposed four-party and [Formula: see text]-party schemes can reach 1, and these two schemes are expected to be realized experimentally in the near future. Through detailed discussion, we find that the security of our schemes and the control power of the supervisor can be guaranteed, and the intrinsic efficiency of the proposed schemes is relatively high.