Poster is on display and will be presented at the poster pitch session.
Partial Differential Equations (PDEs) serve as the mathematical framework for modeling various physical phenomena, such as fluid dynamics. Traditionally, these PDEs are discretized into algebraic equations that are computationally solved at discrete points in space. The complexity of the physical model directly increases the algebraic system's dimensionality, demanding greater computational resources. Quantum computing presents a potential solution to this computational challenge. In our study, we explore the implementation of the advection-diffusion equation with one, two, and three dimensions using the Quantum Lattice Boltzmann Method (LBM) by the Intel Quantum Software Development Kit (SDK), emphasizing the integration of the quantum walk process.
