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

Xin-Xin Yang; Liang-Liang Guo; Hai-Feng Zhang; Lei Du; Chi Zhang; Hao-Ran Tao; Yong Chen; Peng Duan; Zhi-Long Jia; Wei-Cheng Kong; Guo-Ping Guo

arXiv · 2303.12531

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

Xin-Xin Yang·Liang-Liang Guo·Hai-Feng Zhang·Lei Du·Chi Zhang·Hao-Ran Tao·Yong Chen·Peng Duan·Zhi-Long Jia·Wei-Cheng Kong·Guo-Ping Guo

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Abstract

The non-adiabatic 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 non-adiabatic geometric gate set (SPNGQC) 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% and a two-qubit gate fidelity of 97.9%. 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.

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Xin-Xin Yang, Liang-Liang Guo, Hai-Feng Zhang, Lei Du, Chi Zhang, Hao-Ran Tao, Yong Chen, Peng Duan, Zhi-Long Jia, Wei-Cheng Kong, Guo-Ping Guo. 2023-03-22. Experimental Implementation of Short-Path Non-adiabatic Geometric Gates in a Superconducting Circuit. https://arxiv.org/abs/2303.12531

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