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  • Letter
  • Open Access

Super-robust nonadiabatic geometric quantum control

Bao-Jie Liu1, Yuan-Sheng Wang1,2, and Man-Hong Yung1,3,4,5,*

  • 1Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China
  • 2School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China
  • 3Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
  • 4Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
  • 5Shenzhen Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China

  • *yung@sustech.edu.cn
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Phys. Rev. Research 3, L032066 – Published 16 September, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L032066

Abstract

Nonadiabatic geometric quantum computation (NGQC) and nonadiabatic holonomic quantum computation (NHQC) have been proposed to reduce the run time of geometric quantum gates. However, in terms of robustness against experimental control errors, the existing NGQC and NHQC scenarios have no advantage over standard dynamical gates in most cases. Here, we give the reasons why nonadiabatic geometric gates are sensitive to the control errors and, further, we propose a scheme of super-robust nonadiabatic geometric quantum control, in which the super-robust condition can guarantee both high speed and robustness of the geometric gate. To illustrate the working mechanism of super-robust geometric quantum gates, we give two simple examples of SR-NGQC and SR-NHQC for two- and three-level quantum systems, respectively. Theoretical and numerical results with the experimental parameters indicate that our scheme can significantly improve the gate performance compared to the previous NGQC, NHQC, and standard dynamical schemes. Super-robust geometric quantum computation can be applied to various physical platforms such as superconducting qubits, quantum dots, and trapped ions. All of these sufficiently show that our scheme provides a promising way towards robust geometric quantum computation.

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Phys. Rev. Research 3, L032066– Published 16 September, 2021
  • Received 18 March 2021
  • Accepted 7 September 2021
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