Fusing small resource states into a larger, fully connected graph-state is essential for scalable photonic quantum computing. Theoretical analysis reveals that this can only be achieved when the success probability of the fusion gate surpasses a specific percolation threshold of 58.98% by using three-photon GHZ states as resource states. However, such an implementation of a fusion gate has never been experimentally realized before. Here, we successfully demonstrate a boosted fusion gate with a theoretical success probability of 75%, using deterministically generated auxiliary states. The success probability is experimentally measured to be 71.0(7)%. We further demonstrate the effectiveness of the boosted fusion gate by fusing two Bell states with a fidelity of 67(2)%. Our work paves a crucial path toward scalable linear optical quantum computing.
@article{arxiv.2412.18882,
title = {Boosted fusion gates above the percolation threshold for scalable graph-state generation},
author = {Yong-Peng Guo and Geng-Yan Zou and Xing Ding and Qi-Hang Zhang and Mo-Chi Xu and Run-Ze Liu and Jun-Yi Zhao and Zhen-Xuan Ge and Li-Chao Peng and Ke-Mi Xu and Yi-Yang Lou and Zhen Ning and Lin-Jun Wang and Hui Wang and Yong-Heng Huo and Yu-Ming He and Chao-Yang Lu and Jian-Wei Pan},
journal= {arXiv preprint arXiv:2412.18882},
year = {2024}
}