99.92%-Fidelity cnot Gates in Solids by Noise Filtering

Tianyu Xie; Zhiyuan Zhao; Shaoyi Xu; Xi Kong; Zhiping Yang; Mengqi Wang; Ya Wang; Fazhan Shi; Jiangfeng Du

doi:10.1103/PhysRevLett.130.030601

99.92%-Fidelity cnot Gates in Solids by Noise Filtering

Phys Rev Lett. 2023 Jan 20;130(3):030601. doi: 10.1103/PhysRevLett.130.030601.

Authors

Tianyu Xie^{1

2}, Zhiyuan Zhao^{1

2}, Shaoyi Xu^{1

2}, Xi Kong³, Zhiping Yang^{1

2}, Mengqi Wang^{1

2}, Ya Wang^{1

2

4}, Fazhan Shi^{1

2

4

5}, Jiangfeng Du^{1

2

4}

Affiliations

¹ CAS Key Laboratory of Microscale Magnetic Resonance and School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China.
² CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China.
³ National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China.
⁴ Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China.
⁵ School of Biomedical Engineering and Suzhou Institute for Advanced Research, University of Science and Technology of China, Suzhou 215123, China.

PMID: 36763408
DOI: 10.1103/PhysRevLett.130.030601

Abstract

Inevitable interactions with the reservoir largely degrade the performance of entangling gates, which hinders practical quantum computation from coming into existence. Here, we experimentally demonstrate a 99.920(7)%-fidelity controlled-not gate by suppressing the complicated noise in a solid-state spin system at room temperature. We found that the fidelity limited at 99% in previous works results from considering only static classical noise, and, thus, in this work, a complete noise model is constructed by also considering the time dependence and the quantum nature of the spin bath. All noises in the model are dynamically corrected by an exquisitely designed shaped pulse, giving the resulting error below 10^{-4}. The residual gate error is mainly originated from the longitudinal relaxation and the waveform distortion that can both be further reduced technically. Our noise-resistant method is universal and will benefit other solid-state spin systems.