## UC Berkeley / Lawrence Berkeley Laboratory

#### Quantized tensor networks for Vlasov-Maxwell simulations

**Erika Ye, LBNL**

Kinetic simulations of collisionless (or weakly collisional) plasmas using the Vlasov equation are often infeasible due to high resolution requirements and the exponential scaling of computational cost with respect to problem dimension. Tensor network methods, a quantum-inspired but classical computational framework, may be able to solve partial differential equations with reduced cost, provided that the solution is compressible, *i.e.*, can be represented as a low-rank tensor network while remaining within some tolerable error threshold. In prior work, we showed that for electrostatic plasmas in 1D1V, important features of linear and nonlinear dynamics, such as damping rates, instability growth rates, and saturation amplitudes, can be captured while compressing the solution significantly [1]. In this talk, we will discuss the specific implementation of our semi-implicit Vlasov-Maxwell solver utilizing the tensor network framework, and present results for standard 2D3V electromagnetic test problems.

[1] E. Ye and N. Loureiro, “Quantum-Inspired Method for Solving the Vlasov-Poisson Equations.” Phys. Rev. E, 106, 035208 (2022)