Implementation of a quantum linear solver for the Vlasov-Ampere equation (2507.22257v1)

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]. 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.