Implementation of a quantum linear solver for the Vlasov-Ampere equation

Abstract

We implement a quantum linear solver for the one-dimensional Vlasov-Ampere equation, following the model presented in Novikau et. al. (I. Novikau, I. Y. Dodin, and E. A. Startsev, J. Plasma Phys. 90, 805900401 (2024)). We design the relevant block encoding operator with Qmod high-level language, and obtain optimized quantum programs using Classiq synthesis tools. Compared to a rigid baseline implementation, our approach yields a clear reduction in quantum resource requirements.