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

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 an...

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Main Authors: Ruizhe Shen, Tianqi Chen, Bo Yang, Ching Hua Lee
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-025-55953-4
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author Ruizhe Shen
Tianqi Chen
Bo Yang
Ching Hua Lee
author_facet Ruizhe Shen
Tianqi Chen
Bo Yang
Ching Hua Lee
author_sort Ruizhe Shen
collection DOAJ
description 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.
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spelling doaj-art-7db52e59f6674227b7f6503aa4c957ee2025-02-09T12:45:32ZengNature PortfolioNature Communications2041-17232025-02-0116111510.1038/s41467-025-55953-4Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computerRuizhe Shen0Tianqi Chen1Bo Yang2Ching Hua Lee3Department of Physics, National University of SingaporeSchool of Physical and Mathematical Sciences, Nanyang Technological UniversitySchool of Physical and Mathematical Sciences, Nanyang Technological UniversityDepartment of Physics, National University of SingaporeAbstract 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.https://doi.org/10.1038/s41467-025-55953-4
spellingShingle Ruizhe Shen
Tianqi Chen
Bo Yang
Ching Hua Lee
Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
Nature Communications
title Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
title_full Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
title_fullStr Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
title_full_unstemmed Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
title_short Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
title_sort observation of the non hermitian skin effect and fermi skin on a digital quantum computer
url https://doi.org/10.1038/s41467-025-55953-4
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