4.6 Article

Nonadiabatic geometric quantum gates that are insensitive to qubit-frequency drifts

Journal

PHYSICAL REVIEW A
Volume 103, Issue 3, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.103.032609

Keywords

-

Funding

  1. Key-Area Research and Development Program of GuangDong Province [2018B030326001]
  2. National Natural Science Foundation of China [11874156]
  3. National Key R&D Program of China [2016 YFA0301803]
  4. Science and Technology Program of Guangzhou [2019050001]
  5. Anhui Provincial Natural Science Foundation [2008085MA20]
  6. Discipline Top-Notch Talents Foundation of Colleges and Universities of Anhui [gxbjZD53]
  7. Research Foundation for Advanced Talents of WXC [WGKQ2021004]

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This study demonstrates high-fidelity geometric quantum gates using path-design strategy, showing robustness against different types of errors and promising practical applications.
Quantum manipulation based on geometric phases provides a promising way towards robust quantum gates. However, in the current implementation of nonadiabatic geometric phases, operational and/or random errors tend to destruct the conditions that induce geometric phases, thereby smearing their noise-resilient feature. In a recent experiment [Y. Xu et al., Phys. Rev. Lett. 124, 230503 (2020)], high-fidelity universal geometric quantum gates have been implemented in a superconducting circuit, which are robust to different types of errors under different configurations of the geometric evolution paths. Here, we apply the path-design strategy to explain in detail why both configurations can realize universal quantum gates in a single-loop way. Meanwhile, we purposefully induce our geometric manipulation by selecting the path configuration that is robust against the qubit-frequency-drift-induced error, which is the dominant error source on realistic superconducting circuits and has not been deliberately addressed. Moreover, our proposal can further integrate with the composite scheme to enhance the gate robustness, which is verified by numerical simulations. Therefore, our scheme provides a promising way towards practical realization of high-fidelity and robust nonadiabatic geometric quantum gates.

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