Using geometric phases to realize noise-resilient quantum computing is an important method to enhance the control fidelity. In this work, we experimentally realize a universal nonadiabatic geometric quantum gate set in a superconducting qubit chain. We characterize the realized single- and two-qubit geometric gates with both quantum process tomography and randomized benchmarking methods. The measured average fidelities for the single-qubit rotation gates and two-qubit controlled-Z gate are 0.9977(1) and 0.977(9), respectively. Besides, we also experimentally demonstrate the noise-resilient feature of the realized single-qubit geometric gates by comparing their performance with the conventional dynamical gates with different types of errors in the control field. Thus, our experiment proves a way to achieve high-fidelity geometric quantum gates for robust quantum computation.
@article{arxiv.1910.12271,
title = {Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit},
author = {Yuan Xu and Ziyue Hua and Tao Chen and Xiaoxuan Pan and Xuegang Li and Jiaxiu Han and Weizhou Cai and Yuwei Ma and Haiyan Wang and Yipu Song and Zheng-Yuan Xue and Luyan Sun},
journal= {arXiv preprint arXiv:1910.12271},
year = {2020}
}