<p>Achieving high-fidelity and robust qubit manipulations is a crucial requirement for realizing fault-tolerant quantum computation. Here, we demonstrate a single-hole spin qubit in a germanium quantum dot and characterize its control fidelity using gate set tomography. The maximum control fidelities reach 97.48%, 99.81%, 99.88% for the <i>I</i>, <i>X</i>/2 and <i>Y</i>/2 gate, respectively. These results reveal that off-resonance noise during consecutive <i>I</i> gates in gate set tomography sequences severely limits qubit performance. Therefore, we introduce geometric quantum computation to realize noise-resilient qubit manipulation. The geometric gate control fidelities remain above 99% across a wide range of Rabi frequencies. The maximum fidelity surpasses 99.9%. Furthermore, the fidelities of geometric <i>X</i>/2 and <i>Y</i>/2 (<i>I</i>) gates exceed 99% even when detuning the microwave frequency by &#xa0;±&#xa0;2.5 MHz (±&#xa0;1.2 MHz), highlighting the noise-resilient feature. These results demonstrate that geometric quantum computation is a potential method for achieving high-fidelity qubit manipulation reproducibly in semiconductor quantum computation.</p>

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High-fidelity geometric quantum gates exceeding 99.9% in germanium quantum dots

  • Yu-Chen Zhou,
  • Rong-Long Ma,
  • Zhenzhen Kong,
  • Ao-Ran Li,
  • Chengxian Zhang,
  • Xin Zhang,
  • Yang Liu,
  • Hao-Tian Jiang,
  • Zhi-Tao Wu,
  • Gui-Lei Wang,
  • Gang Cao,
  • Guang-Can Guo,
  • Hai-Ou Li,
  • Guo-Ping Guo

摘要

Achieving high-fidelity and robust qubit manipulations is a crucial requirement for realizing fault-tolerant quantum computation. Here, we demonstrate a single-hole spin qubit in a germanium quantum dot and characterize its control fidelity using gate set tomography. The maximum control fidelities reach 97.48%, 99.81%, 99.88% for the I, X/2 and Y/2 gate, respectively. These results reveal that off-resonance noise during consecutive I gates in gate set tomography sequences severely limits qubit performance. Therefore, we introduce geometric quantum computation to realize noise-resilient qubit manipulation. The geometric gate control fidelities remain above 99% across a wide range of Rabi frequencies. The maximum fidelity surpasses 99.9%. Furthermore, the fidelities of geometric X/2 and Y/2 (I) gates exceed 99% even when detuning the microwave frequency by  ± 2.5 MHz (± 1.2 MHz), highlighting the noise-resilient feature. These results demonstrate that geometric quantum computation is a potential method for achieving high-fidelity qubit manipulation reproducibly in semiconductor quantum computation.