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Quantum algorithm for the Vlasov equation

Original authors: Alexander Engel, Graeme Smith, and Scott E. Parker
Reproduced by: Óscar Amaro

url: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.100.062315
preprint: https://arxiv.org/abs/1907.09418

In this Mathematica notebook we (classically) simulate the evolution of the distribution+electric field of a linear and electrostatic plasma. The electric field will experience Landau damping. See pdf for a print of the notebook.

Abstract: "...By linearizing and assuming a Maxwellian background distribution function, we convert the Vlasov-Maxwell system into a Hamiltonian simulation problem..."