Quantum computing for nonlinear differential equations and turbulence
Author(s)
Tennie, Felix
Laizet, Sylvain
Lloyd, Seth
Magri, Luca
Type
Journal Article
Abstract
Many problems in classical physics and engineering, such as turbulence, are governed by nonlinear differential equations, which typically require high-performance computing to be solved. Over the past decade, however, the growth of classical computing power has slowed because the miniaturization of chips is approaching the atomic scale. This development calls for a new computing paradigm: quantum computing is a prime candidate. In this Perspective, we offer a view on the challenges that need to be overcome in order to use quantum computing to simulate nonlinear dynamics. We discuss progress in the development of both quantum algorithms for nonlinear equations and quantum hardware. We propose synergies between quantum algorithms for nonlinear equations and quantum hardware concepts that could bear fruit in the near to mid-term future for the simulation of nonlinear systems and turbulence.
Date Issued
2025-04-01
Date Acceptance
2024-12-06
Citation
Nature Reviews Physics, 2025, 7 (4), pp.220-230
ISSN
2522-5820
Publisher
Nature Research
Start Page
220
End Page
230
Journal / Book Title
Nature Reviews Physics
Volume
7
Issue
4
Copyright Statement
Copyright © Springer Nature Limited 2025. This is the author’s accepted manuscript made available under a CC-BY licence in accordance with Imperial’s Research Publications Open Access policy (www.imperial.ac.uk/oa-policy)
License URL
Subjects
ALGORITHMS
Physical Sciences
Physics
Physics, Applied
Physics, Multidisciplinary
PREDICTION
Science & Technology
Publication Status
Published
Date Publish Online
2025-01-22