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Continuous-variable geometric phase and its manipulation for quantum computation in a superconducting circuit

Author

Listed:
  • Chao Song

    (Zhejiang University)

  • Shi-Biao Zheng

    (College of Physics and Information Engineering, Fuzhou University)

  • Pengfei Zhang

    (Zhejiang University)

  • Kai Xu

    (Zhejiang University)

  • Libo Zhang

    (Zhejiang University)

  • Qiujiang Guo

    (Zhejiang University)

  • Wuxin Liu

    (Zhejiang University)

  • Da Xu

    (Zhejiang University)

  • Hui Deng

    (Institute of Physics, Chinese Academy of Sciences)

  • Keqiang Huang

    (Institute of Physics, Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Dongning Zheng

    (Institute of Physics, Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Xiaobo Zhu

    (Institute of Physics, Chinese Academy of Sciences
    University of Science and Technology of China)

  • H. Wang

    (Zhejiang University
    University of Science and Technology of China)

Abstract

Geometric phase, associated with holonomy transformation in quantum state space, is an important quantum-mechanical effect. Besides fundamental interest, this effect has practical applications, among which geometric quantum computation is a paradigm, where quantum logic operations are realized through geometric phase manipulation that has some intrinsic noise-resilient advantages and may enable simplified implementation of multi-qubit gates compared to the dynamical approach. Here we report observation of a continuous-variable geometric phase and demonstrate a quantum gate protocol based on this phase in a superconducting circuit, where five qubits are controllably coupled to a resonator. Our geometric approach allows for one-step implementation of n-qubit controlled-phase gates, which represents a remarkable advantage compared to gate decomposition methods, where the number of required steps dramatically increases with n. Following this approach, we realize these gates with n up to 4, verifying the high efficiency of this geometric manipulation for quantum computation.

Suggested Citation

  • Chao Song & Shi-Biao Zheng & Pengfei Zhang & Kai Xu & Libo Zhang & Qiujiang Guo & Wuxin Liu & Da Xu & Hui Deng & Keqiang Huang & Dongning Zheng & Xiaobo Zhu & H. Wang, 2017. "Continuous-variable geometric phase and its manipulation for quantum computation in a superconducting circuit," Nature Communications, Nature, vol. 8(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:8:y:2017:i:1:d:10.1038_s41467-017-01156-5
    DOI: 10.1038/s41467-017-01156-5
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    Cited by:

    1. Noah Goss & Alexis Morvan & Brian Marinelli & Bradley K. Mitchell & Long B. Nguyen & Ravi K. Naik & Larry Chen & Christian Jünger & John Mark Kreikebaum & David I. Santiago & Joel J. Wallman & Irfan S, 2022. "High-fidelity qutrit entangling gates for superconducting circuits," Nature Communications, Nature, vol. 13(1), pages 1-6, December.

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