In this paper, we report on the resolution of nonlinear differential equations using IBM's quantum platform. More specifically, we demonstrate that the hybrid classical-quantum algorithm H-DES successfully solves a one-dimensional material deformation problem and the inviscid Burgers' equation on IBM's 156-qubit quantum computers. These results constitute a step toward performing physically relevant simulations on present-day Noisy Intermediate-Scale Quantum (NISQ) devices.
@article{arxiv.2601.04439,
title = {Solving nonlinear differential equations on noisy $156$-qubit quantum computers},
author = {Karla Baumann and Youcef Modheb and Roman Randrianarisoa and Roland Katz and Aoife Boyle and Frédéric Holweck},
journal= {arXiv preprint arXiv:2601.04439},
year = {2026}
}