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Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer

Author

Listed:
  • Ruizhe Shen

    (National University of Singapore)

  • Tianqi Chen

    (Nanyang Technological University)

  • Bo Yang

    (Nanyang Technological University)

  • Ching Hua Lee

    (National University of Singapore)

Abstract

Lately, the non-Hermitian skin effect (NHSE) has been demonstrated in various classical metamaterials and even ultracold atomic arrays. Yet, its interplay with many-body dynamics have never been experimentally investigated. Here, we report the observation of the NHSE and its many-fermion analog on a universal quantum processor. To implement NHSE accumulation on a quantum computer, the time-evolution circuit not only needs to be non-reciprocal and non-unitary, but must also contain sufficiently many lattice qubits. We demonstrate this by systematically post-selecting ancilla qubits, as demonstrated through two paradigmatic non-reciprocal models on noisy quantum processors, with clear signatures of asymmetric spatial propagation and many-body “Fermi skin” accumulation. To minimize errors from inevitable device noise, time evolution is performed using trainable, variationally optimized quantum circuits. Our demonstration represents an important step in the quantum simulation of non-Hermitian lattices on present-day quantum hardware, and can be readily generalized to more sophisticated many-body models.

Suggested Citation

  • Ruizhe Shen & Tianqi Chen & Bo Yang & Ching Hua Lee, 2025. "Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer," Nature Communications, Nature, vol. 16(1), pages 1-15, December.
  • Handle: RePEc:nat:natcom:v:16:y:2025:i:1:d:10.1038_s41467-025-55953-4
    DOI: 10.1038/s41467-025-55953-4
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    References listed on IDEAS

    as
    1. Deyuan Zou & Tian Chen & Wenjing He & Jiacheng Bao & Ching Hua Lee & Houjun Sun & Xiangdong Zhang, 2021. "Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits," Nature Communications, Nature, vol. 12(1), pages 1-11, December.
    2. Linhu Li & Sen Mu & Ching Hua Lee & Jiangbin Gong, 2021. "Quantized classical response from spectral winding topology," Nature Communications, Nature, vol. 12(1), pages 1-11, December.
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