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Error-resilient Floquet geometric quantum computation

Yuan-Sheng Wang1,2, Bao-Jie Liu1, Shi-Lei Su3, and Man-Hong Yung1,4,5,6,*

  • 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
  • 3School of Physics, Zhengzhou University, Zhengzhou 450001, China
  • 4Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
  • 5Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
  • 6Shenzhen 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, 033010 – Published 2 July, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.033010

Abstract

We propose a geometric quantum computation (GQC) scheme, called Floquet GQC (FGQC), where error-resilient geometric gates based on periodically driven two-level systems can be constructed via a non-Abelian geometric phase proposed in a recent study [V. Novičenko and G. Juzeliūnas, Phys. Rev. A 100, 012127 (2019)]. Based on Rydberg atoms, we give possible implementations of universal FGQC single-qubit gates and a nontrivial FGQC two-qubit gate. By using numerical simulation, we evaluate the performance of the FGQC Z and X gates in the presence of both decoherence and a certain kind of systematic control error. For the currently available coherence time of the Rydberg state, T2≈32μs, the numerical results show that the X and Z gate fidelities are about 0.900 and 0.899, respectively. In addition, we find that FGQC is robust against global control error; both analytical demonstration and numerical evidence are given. As the coherence time of various qubits grows, FGQC may provide a promising error-resilient quantum computation scheme in the future.

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Phys. Rev. Research 3, 033010– Published 2 July, 2021
  • Received 21 September 2020
  • Accepted 7 June 2021
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