Variational Quantum Solutions to the Advection-Diffusion Equation for
Applications in Fluid Dynamics
- URL: http://arxiv.org/abs/2208.11780v1
- Date: Wed, 24 Aug 2022 21:29:46 GMT
- 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
- Abstract summary: We present one method to perform fluid dynamics calculations that takes advantage of quantum computing.
We find that reliable solutions of the equation can be obtained on even the noisy quantum computers available today.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Constraints in power consumption and computational power limit the skill of
operational numerical weather prediction by classical computing methods.
Quantum computing could potentially address both of these challenges. Herein,
we present one method to perform fluid dynamics calculations that takes
advantage of quantum computing. This hybrid quantum-classical method, which
combines several algorithms, scales logarithmically with the dimension of the
vector space and quadratically with the number of nonzero terms in the linear
combination of unitary operators that specifies the linear operator describing
the system of interest. As a demonstration, we apply our method to solve the
advection-diffusion equation for a small system using IBM quantum computers. We
find that reliable solutions of the equation can be obtained on even the noisy
quantum computers available today. This and other methods that exploit quantum
computers could replace some of our traditional methods in numerical weather
prediction as quantum hardware continues to improve.
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