Implementation of a quantum linear solver for the Vlasov-Ampere equation
Tomer Goldfriend, Or Samimi Golan, and Amir Naveh
TL;DR
This paper presents a quantum implementation of a linear solver tailored for the Vlasov-Ampere equation, demonstrating resource-efficient quantum algorithms for plasma physics simulations.
Contribution
It introduces a novel quantum solver implementation with optimized resource usage, based on high-level programming and synthesis tools.
Findings
Reduced quantum resource requirements compared to baseline implementations
Successful design of block encoding operator using Qmod language
Optimized quantum programs generated with Classiq synthesis tools
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.
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