Experimental Realization of non-Adiabatic Shortcut to non-Abelian Geometric Gates

ORAL

Abstract

When a quantum system is driven slowly through a parametric cycle in a degenerate Hilbert space, the state would acquire a non-Abelian geometric phase, which is stable and forms the foundation for holonomic quantum computation (HQC). However, in the adiabatic limit, the environmental decoherence becomes a significant source of errors. Recently, various non-adiabatic holonomic quantum computation (NHQC) schemes have been proposed, but all at the price of increased sensitivity to control errors. Here we propose and experimentally demonstrate that HQC via shortcut to adiabaticity (STA) can be constructed with only three energy levels, using a superconducting qubit. With this scheme, all holonomic single-qubit operations can be realized non-adiabatically through a single cycle evolution. As a result, we are able to experimentally benchmark the stability of STA+HQC against NHQC. The flexibility and simplicity of our scheme makes it also implementable on other quantum systems.

*Natural Science Foundation of Guangdong Province (2017B030308003), the Guangdong Innovative and Entrepreneurial Research Team Program (No.2016ZT06D348), and the Science Technology and Innovation Commission of Shenzhen Municipality (ZDSYS20170303165926217, JCYJ20170412152620376).

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Presenters

  • Tongxing Yan

    • School of Physics, Southern University of Science and Technology of China

Authors

  • Tongxing Yan

    • School of Physics, Southern University of Science and Technology of China

  • Baojie Liu

    • School of Physics, Southern University of Science and Technology of China

  • Kai Xu

    • Department of Physics,, Zhejiang University

  • Chao Song

    • Department of Physics,, Zhejiang University

  • Song Liu

    • School of Physics, Southern University of Science and Technology of China
    • Southern University of Science and Technology

  • Zhensheng Zhang

    • School of Physics, Southern University of Science and Technology of China

  • Hui Deng

    • CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China

  • Zhiguang Yan

    • CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China

  • Hao Rong

    • CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China

  • Keqiang Huang

    • Institute of Physics, Chinese Academy of Sciences

  • Man-Hong Yung

    • Shenzhen Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology
    • School of Physics, Southern University of Science and Technology of China

  • Yuanzhen Chen

    • School of Physics, Southern University of Science and Technology of China

  • Dapeng Yu

    • Department of Physics, Southern University of Science and Technology
    • School of Physics, Southern University of Science and Technology of China
    • Southern University of Science and Technology