High-order summation-by-parts quantum computing algorithms for the advection equation

Vyom Nilesh Patel^1,3, David C. Del Rey Fernández¹, Hans De Sterck¹, Ala Shayeghi^2,3

1: Dept. of Applied Mathematics, University of Waterloo; 2: National Research Council of Canada; 3: Institute for Quantum Computing, University of Waterloo

Quantum Time-Marching Algorithm for the Advection-Diffusion Equation

Paul Over¹, Sergio Bengoechea¹, Peter Brearley², Sylvain Laizet², Thomas Rung¹

1: Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, Hamburg D-21073, Germany; 2: Department of Aeronautics, Imperial College London, London SW7 2AZ, United Kingdom

Quantum Lattice Boltzmann Method for Multiple Time Steps Without Reinitialization for Linear Advection-Diffusion Problems

Aaron Nagel, Johannes Löwe

German Aerospace Center (DLR), Germany

Towards Learning the Lattice Boltzmann Collision Operator Using a Surrogate Quantum Circuit

Monica Lacatus, Matthias Moller

TU Delft, Netherlands, The