Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computer

Abstract Quantum computers have long been anticipated to excel in simulating quantum many-body physics. In this work, we demonstrate the power of variational quantum circuits for resource-efficient simulations of dynamical and equilibrium physics in non-Hermitian systems. Using a variational quantum...

Full description

Saved in:
Bibliographic Details
Main Authors: Yuxuan Zhang, Juan Carrasquilla, Yong Baek Kim
Format: Article
Language:English
Published: Nature Portfolio 2025-04-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-025-57930-3
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850201351985823744
author Yuxuan Zhang
Juan Carrasquilla
Yong Baek Kim
author_facet Yuxuan Zhang
Juan Carrasquilla
Yong Baek Kim
author_sort Yuxuan Zhang
collection DOAJ
description Abstract Quantum computers have long been anticipated to excel in simulating quantum many-body physics. In this work, we demonstrate the power of variational quantum circuits for resource-efficient simulations of dynamical and equilibrium physics in non-Hermitian systems. Using a variational quantum compilation scheme for fermionic systems, we reduce gate count, save qubits, and eliminate the need for postselection, a major challenge in simulating non-Hermitian dynamics via standard Trotterization. On the Quantinuum H1 trapped-ion processor, we experimentally observed a supersonic mode on an n = 18 fermionic chain after a non-Hermitian, nearest-neighbor interacting quench, which would otherwise be forbidden in a Hermitian system. Additionally, we investigate sequential quantum circuits generated by tensor networks for ground-state preparation using a variance minimization scheme, accurately capturing correlation functions and energies across an exceptional point on a dissipative spin chain up to length n = 20 using only 3 qubits. On the other hand, we provide an analytical example demonstrating that simulating single-qubit non-Hermitian dynamics for $$\Theta (\log (n))$$ Θ ( log ( n ) ) time from certain initial states is exponentially hard on a quantum computer. Our work raises many intriguing questions about the intrinsic properties of non-Hermitian systems that permit efficient quantum simulation.
format Article
id doaj-art-bbcfbfe8e96b46849a257916e1a67e0f
institution OA Journals
issn 2041-1723
language English
publishDate 2025-04-01
publisher Nature Portfolio
record_format Article
series Nature Communications
spelling doaj-art-bbcfbfe8e96b46849a257916e1a67e0f2025-08-20T02:12:02ZengNature PortfolioNature Communications2041-17232025-04-0116111210.1038/s41467-025-57930-3Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computerYuxuan Zhang0Juan Carrasquilla1Yong Baek Kim2Department of Physics, University of TorontoInstitute for Theoretical Physics, ETH ZürichDepartment of Physics, University of TorontoAbstract Quantum computers have long been anticipated to excel in simulating quantum many-body physics. In this work, we demonstrate the power of variational quantum circuits for resource-efficient simulations of dynamical and equilibrium physics in non-Hermitian systems. Using a variational quantum compilation scheme for fermionic systems, we reduce gate count, save qubits, and eliminate the need for postselection, a major challenge in simulating non-Hermitian dynamics via standard Trotterization. On the Quantinuum H1 trapped-ion processor, we experimentally observed a supersonic mode on an n = 18 fermionic chain after a non-Hermitian, nearest-neighbor interacting quench, which would otherwise be forbidden in a Hermitian system. Additionally, we investigate sequential quantum circuits generated by tensor networks for ground-state preparation using a variance minimization scheme, accurately capturing correlation functions and energies across an exceptional point on a dissipative spin chain up to length n = 20 using only 3 qubits. On the other hand, we provide an analytical example demonstrating that simulating single-qubit non-Hermitian dynamics for $$\Theta (\log (n))$$ Θ ( log ( n ) ) time from certain initial states is exponentially hard on a quantum computer. Our work raises many intriguing questions about the intrinsic properties of non-Hermitian systems that permit efficient quantum simulation.https://doi.org/10.1038/s41467-025-57930-3
spellingShingle Yuxuan Zhang
Juan Carrasquilla
Yong Baek Kim
Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computer
Nature Communications
title Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computer
title_full Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computer
title_fullStr Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computer
title_full_unstemmed Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computer
title_short Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computer
title_sort observation of a non hermitian supersonic mode on a trapped ion quantum computer
url https://doi.org/10.1038/s41467-025-57930-3
work_keys_str_mv AT yuxuanzhang observationofanonhermitiansupersonicmodeonatrappedionquantumcomputer
AT juancarrasquilla observationofanonhermitiansupersonicmodeonatrappedionquantumcomputer
AT yongbaekkim observationofanonhermitiansupersonicmodeonatrappedionquantumcomputer