APPLICATION AND COMPARISON OF A VARIATIONAL QUANTUM LINEAR SOLVER USING THE TWO-DIMENSIONAL HEAT EQUATION
S. Kim, Dongho Shin · Journal of computational fluids engineering · 2025
Quantum computing presents a revolutionary alternative for high-performance computing applications, notably in solving complex problems that are impractical with classical computers.This study employs a variational quantum linear solver (VQLS) to address the two-dimensional steady-state heat equation, demonstrating a potential of quantum algorithms in computational fluid dynamics (CFD).The efficacy of VQLS is tested across three different settings: noiseless emulation, noisy emulation, and quantum hardware, and compared with a classical computing algorithm, the tridiagonal matrix algorithm (TDMA).This comparison illustrates both the current capabilities and the practical challenges faced by quantum computing implementations.This approach highlights remaining hurdles in harnessing quantum computing for real-world scientific and engineering applications.