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Experimental realization of nonadiabatic geometric gates with a superconducting Xmon qubit

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Abstract

Geometric phases are only dependent on evolution paths but independent of evolution details so that they possess some intrinsic noise-resilience features. Based on different geometric phases, various quantum gates have been proposed, such as nonadiabatic geometric gates based on nonadiabatic Abelian geometric phases and nonadiabatic holonomic gates based on nonadiabatic non-Abelian geometric phases. Up to now, nonadiabatic holonomic one-qubit gates have been experimentally demonstrated with superconducting transmons, where the three lowest levels are all utilized in operation. However, the second excited state of transmons has a relatively short coherence time, which results in a decreased fidelity of quantum gates. Here, we experimentally realize Abelian-geometric-phase-based nonadiabatic geometric one-qubit gates with a superconducting Xmon qubit. The realization is performed on the two lowest levels of an Xmon qubit and thus avoids the influence from the short coherence time of the second excited state. The experimental result indicates that the average fidelities of single-qubit gates can be up to 99.6% and 99.7% characterized by quantum process tomography and randomized benchmarking.

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  1. These authors contributed equally to this work.

Authors and Affiliations

  1. Department of Physics, Shandong University, Jinan, 250100, China

    PeiZi Zhao & DianMin Tong

  2. Department of Physics, Zhejiang University, Hangzhou, 310027, China

    ZhangJingZi Dong, ZhenXing Zhang & Yi Yin

  3. Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, 230026, China

    GuoPing Guo

  4. Origin Quantum Computing, Hefei, 230026, China

    GuoPing Guo

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  1. PeiZi Zhao
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Correspondence to DianMin Tong or Yi Yin.

Additional information

This work was supported by the National Basic Research Program of China (Grant No. 2015CB921004), the National Key Research and Development Program of China (Grant Nos. 2019YFA0308602, and 2016YFA0301700), the National Natural Science Foundation of China (Grant Nos. 11934010, and 11775129), the Fundamental Research Funds for the Central Universities in China, and the Anhui Initiative in Quantum Information Technologies (Grant No. AHY080000). Yi Yin acknowledge the funding support from Tencent Corporation. This work was partially conducted at the Center for Micro- and Nanoscale Research and Fabrication, University of Science and Technology of China.

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Zhao, P., Dong, Z., Zhang, Z. et al. Experimental realization of nonadiabatic geometric gates with a superconducting Xmon qubit. Sci. China Phys. Mech. Astron. 64, 250362 (2021). https://doi.org/10.1007/s11433-020-1641-1

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