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Quantum Information Processing

Variational quantum solutions to the advection–diffusion equation for applications in fluid dynamics

  • 01-09-2022
Published in:
Authors
Reuben Demirdjian
Daniel Gunlycke
Carolyn A. Reynolds
James D. Doyle
Sergio Tafur
Published in
Quantum Information Processing | Issue 9/2022

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Abstract

The article delves into the application of variational quantum algorithms to solve the advection–diffusion equation, a fundamental problem in fluid dynamics and numerical weather prediction. It highlights the challenges of current models, such as high power consumption and the end of Moore’s law, which limit the resolution and accuracy of weather forecasts. The study introduces a variational quantum linear solver (VQLS) method, showcasing its potential to offer computational advantages over classical computers. The research demonstrates a proof-of-concept using IBM’s quantum hardware, illustrating the feasibility of quantum computers in addressing meteorological problems. However, the study also discusses the current limitations of scaling up these methods to solve larger systems, suggesting areas for future research to improve the scalability and practicality of quantum solutions in numerical weather prediction.
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Title
Variational quantum solutions to the advection–diffusion equation for applications in fluid dynamics
Authors
Reuben Demirdjian
Daniel Gunlycke
Carolyn A. Reynolds
James D. Doyle
Sergio Tafur
Publication date
01-09-2022
Publisher
Springer US
Published in
Quantum Information Processing / Issue 9/2022
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03667-7
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