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Fast topological pumping for the generation of large-scale Greenberger-Horne-Zeilinger states in a superconducting circuit

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Frontiers of Physics

Abstract

Topological pumping of edge states in the finite lattice with nontrivial topological phases provides a powerful means for robust excitation transfer, requiring extremely slow evolution to follow an adiabatic transfer. Here, we propose fast topological pumping via edge channels to generate large-scale Greenberger-Horne-Zeilinger (GHZ) states in a topological superconducting circuit with a sped-up evolution process. The scheme indicates a conceptual way of designing fast topological pumping related to the instantaneous energy spectrum characteristics rather than relying on the shortcuts to adiabaticity. Based on fast topological pumping, large-scale GHZ states show greater robustness against on-site potential defects, the fluctuation of couplings and losses of the system in comparison with the conventional adiabatic topological pumping. With experimentally feasible qutrit-resonator coupling strengths and moderate decay rates of qutrits and resonators, fast topological pumping drastically improves the scalability of GHZ states with a high fidelity. Our work opens up prospects for the realization of large-scale GHZ states based on fast topological pumping in the superconducting quantum circuit system, which provides potential applications of topological matters in quantum information processing.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11675046), the Program for Innovation Research of Science in Harbin Institute of Technology (Grant No. A201412), and the Postdoctoral Scientific Research Developmental Fund of Heilongjiang Province (Grant No. LBH-Q15060).

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Authors and Affiliations

  1. School of Physics, Harbin Institute of Technology, Harbin, 150001, China

    Jin-Xuan Han, Zhong-Hui Yuan, Yong-Yuan Jiang & Jie Song

  2. Department of Optoelectronics Science, Harbin Institute of Technology, Weihai, 264209, China

    Jin-Lei Wu

  3. Department of Physics, Fuzhou University, Fuzhou, 350002, China

    Yan Xia

  4. Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, 030006, China

    Yong-Yuan Jiang & Jie Song

  5. Key Laboratory of Micro-Nano Optoelectronic Information System, Ministry of Industry and Information Technology, Harbin, 150001, China

    Yong-Yuan Jiang & Jie Song

  6. Key Laboratory of Micro-Optics and Photonic Technology of Heilongjiang Province, Harbin Institute of Technology, Harbin, 150001, China

    Yong-Yuan Jiang & Jie Song

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  1. Jin-Xuan Han
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Han, JX., Wu, JL., Yuan, ZH. et al. Fast topological pumping for the generation of large-scale Greenberger-Horne-Zeilinger states in a superconducting circuit. Front. Phys. 17, 62504 (2022). https://doi.org/10.1007/s11467-022-1193-y

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