中国物理B ›› 2022, Vol. 31 ›› Issue (3): 30307-030307.doi: 10.1088/1674-1056/ac40f8

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Measuring Loschmidt echo via Floquet engineering in superconducting circuits

Shou-Kuan Zhao(赵寿宽)1,2, Zi-Yong Ge(葛自勇)1,2, Zhong-Cheng Xiang(相忠诚)1, Guang-Ming Xue(薛光明)3, Hai-Sheng Yan(严海生)1,2, Zi-Ting Wang(王子婷)1,2, Zhan Wang(王战)1,2, Hui-Kai Xu(徐晖凯)3, Fei-Fan Su(宿非凡)1, Zhao-Hua Yang(杨钊华)1,2, He Zhang(张贺)1,2, Yu-Ran Zhang(张煜然)4, Xue-Yi Guo(郭学仪)1, Kai Xu(许凯)1,5, Ye Tian(田野)1, Hai-Feng Yu(于海峰)3, Dong-Ning Zheng(郑东宁)1,2,5,6, Heng Fan(范桁)1,2,5,6, and Shi-Ping Zhao(赵士平)1,2,5,6,†   

  1. 1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
    2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
    3 Beijing Academy of Quantum Information Sciences, Beijing 100193, China;
    4 Theoretical Quantum Physics Laboratory, RIKEN Cluster for Pioneering Research, Wako-shi, Saitama 351-0198, Japan;
    5 CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China;
    6 Songshan Lake Materials Laboratory, Dongguan 523808, China
  • 收稿日期:2021-11-23 修回日期:2021-12-02 接受日期:2021-12-08 出版日期:2022-02-22 发布日期:2022-03-01
  • 通讯作者: Shi-Ping Zhao E-mail:spzhao@iphy.ac.cn
  • 基金资助:
    This work was supported in part by the Key-Area Research and Development Program of Guang-Dong Province, China (Grant No. 2018B030326001) and the National Key R&D Program of China (Grant No. 2017YFA0304300). Y. R. Z. was supported by the Japan Society for the Promotion of Science (JSPS) (Postdoctoral Fellowship via Grant No. P19326, and KAKENHI via Grant No. JP19F19326). H. Y. acknowledges support from the Natural Science Foundation of Beijing, China (Grant No. Z190012) and the National Natural Science Foundation of of China (Grant No. 11890704). H. F. acknowledges support from the National Natural Science Foundation of China (Grant No. T2121001), Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB28000000), and Beijing Natural Science Foundation, China (Grant No. Z200009).

Measuring Loschmidt echo via Floquet engineering in superconducting circuits

Shou-Kuan Zhao(赵寿宽)1,2, Zi-Yong Ge(葛自勇)1,2, Zhong-Cheng Xiang(相忠诚)1, Guang-Ming Xue(薛光明)3, Hai-Sheng Yan(严海生)1,2, Zi-Ting Wang(王子婷)1,2, Zhan Wang(王战)1,2, Hui-Kai Xu(徐晖凯)3, Fei-Fan Su(宿非凡)1, Zhao-Hua Yang(杨钊华)1,2, He Zhang(张贺)1,2, Yu-Ran Zhang(张煜然)4, Xue-Yi Guo(郭学仪)1, Kai Xu(许凯)1,5, Ye Tian(田野)1, Hai-Feng Yu(于海峰)3, Dong-Ning Zheng(郑东宁)1,2,5,6, Heng Fan(范桁)1,2,5,6, and Shi-Ping Zhao(赵士平)1,2,5,6,†   

  1. 1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
    2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
    3 Beijing Academy of Quantum Information Sciences, Beijing 100193, China;
    4 Theoretical Quantum Physics Laboratory, RIKEN Cluster for Pioneering Research, Wako-shi, Saitama 351-0198, Japan;
    5 CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China;
    6 Songshan Lake Materials Laboratory, Dongguan 523808, China
  • Received:2021-11-23 Revised:2021-12-02 Accepted:2021-12-08 Online:2022-02-22 Published:2022-03-01
  • Contact: Shi-Ping Zhao E-mail:spzhao@iphy.ac.cn
  • Supported by:
    This work was supported in part by the Key-Area Research and Development Program of Guang-Dong Province, China (Grant No. 2018B030326001) and the National Key R&D Program of China (Grant No. 2017YFA0304300). Y. R. Z. was supported by the Japan Society for the Promotion of Science (JSPS) (Postdoctoral Fellowship via Grant No. P19326, and KAKENHI via Grant No. JP19F19326). H. Y. acknowledges support from the Natural Science Foundation of Beijing, China (Grant No. Z190012) and the National Natural Science Foundation of of China (Grant No. 11890704). H. F. acknowledges support from the National Natural Science Foundation of China (Grant No. T2121001), Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB28000000), and Beijing Natural Science Foundation, China (Grant No. Z200009).

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摘要： The Loschmidt echo is a useful diagnostic for the perfection of quantum time-reversal process and the sensitivity of quantum evolution to small perturbations. The main challenge for measuring the Loschmidt echo is the time reversal of a quantum evolution. In this work, we demonstrate the measurement of the Loschmidt echo in a superconducting 10-qubit system using Floquet engineering and discuss the imperfection of an initial Bell-state recovery arising from the next-nearest-neighbor (NNN) coupling present in the qubit device. Our results show that the Loschmidt echo is very sensitive to small perturbations during quantum-state evolution, in contrast to the quantities like qubit population that is often considered in the time-reversal experiment. These properties may be employed for the investigation of multiqubit system concerning many-body decoherence and entanglement, etc., especially when devices with reduced or vanishing NNN coupling are used.

关键词: superconducting qubit, quantum simulation, Loschmidt echo, Floquet engineering

Abstract: The Loschmidt echo is a useful diagnostic for the perfection of quantum time-reversal process and the sensitivity of quantum evolution to small perturbations. The main challenge for measuring the Loschmidt echo is the time reversal of a quantum evolution. In this work, we demonstrate the measurement of the Loschmidt echo in a superconducting 10-qubit system using Floquet engineering and discuss the imperfection of an initial Bell-state recovery arising from the next-nearest-neighbor (NNN) coupling present in the qubit device. Our results show that the Loschmidt echo is very sensitive to small perturbations during quantum-state evolution, in contrast to the quantities like qubit population that is often considered in the time-reversal experiment. These properties may be employed for the investigation of multiqubit system concerning many-body decoherence and entanglement, etc., especially when devices with reduced or vanishing NNN coupling are used.

Key words: superconducting qubit, quantum simulation, Loschmidt echo, Floquet engineering

中图分类号:  (Quantum computation architectures and implementations)

  • 03.67.Lx
03.67.Bg (Entanglement production and manipulation) 03.65.Ta (Foundations of quantum mechanics; measurement theory) 85.25.Cp (Josephson devices)