Quantum teleportation provides a way to transmit unknown quantum states from one location to another. In the quantum world, multilevel systems which enable high-dimensional systems are more prevalent. Therefore, to completely rebuild the quantum states of a single particle remotely, one needs to teleport multilevel (high-dimensional) states. Here, we demonstrate the teleportation of high-dimensional states in a three-dimensional six-photon system. We exploit the spatial mode of a single photon as the high-dimensional system, use two auxiliary entangled photons to realize a deterministic three-dimensional Bell state measurement. The fidelity of teleportation process matrix is F=0.596\pm0.037. Through this process matrix, we can prove that our teleportation is both nonclassical and genuine three dimensional. Our work paves the way to rebuild complex quantum systems remotely and to construct complex quantum networks.
@article{arxiv.1904.12249,
title = {Experimental high-dimensional quantum teleportation},
author = {Xiao-Min Hu and Chao Zhang and Bi-Heng Liu and Yu Cai and Xiang-Jun Ye and Yu Guo and Wen-Bo Xing and Cen-Xiao Huang and Yun-Feng Huang and Chuan-Feng Li and Guang-Can Guo},
journal= {arXiv preprint arXiv:1904.12249},
year = {2020}
}