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

• URL: http://arxiv.org/abs/2303.12531v1
• Date: Wed, 22 Mar 2023 13:05:06 GMT
• Title: Experimental Implementation of Short-Path Non-adiabatic Geometric Gates in a Superconducting Circuit
• Authors: 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 and Guo-Ping Guo
• Abstract summary: 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%.
• Score: 7.892850133997947
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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