Experimental Implementation of Short-Path Nonadiabatic Geometric Gates in a Superconducting Circuit

作者：Xin-Xin Yang, Liang-Liang Guo, Hai-Feng Zhang, Lei Du, Chi Zhang, Haoran Tao, Yong Chen, Peng Duan, Zhi-Long Jia, Weicheng Kong, Guo‐Ping Guo · 发表于：Physical Review Applied · 年份：2023 · DOI：10.1103/physrevapplied.19.044076 · 被引用次数：18 · 研究领域：Quantum Information and Cryptography、Quantum Computing Algorithms and Architecture、Quantum and electron transport phenomena

Nonadiabatic geometric quantum computation (NGQC) has attracted a lot of attention for noise-resilient quantum control. However, previous implementations of NGQC require long evolution paths that make them more vulnerable to incoherent errors than their dynamical counterparts. In this work, we experimentally realize a universal short-path nonadiabatic geometric gate set (SP NGQC) with a 2-times shorter evolution path on a superconducting quantum processor. Characterizing with both quantum process tomography and randomized benchmarking methods, we report an average single-qubit gate fidelity of $99.86\mathrm{%}$ and a two-qubit gate fidelity of $97.9\mathrm{%}$. Additionally, we demonstrate superior robustness of single-qubit SP NGQC gate to Rabi frequency error in some certain parameter space by comparing their performance to those of the dynamical gates and the former NGQC gates.