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Quantum calculation for two-stream instability and advection test of Vlasov–Maxwell equations: numerical evaluation of Hamiltonian simulation

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Numerical evaluation of quantum–classical hybrid model demonstrates improved efficiency for two-stream instability and advection test.

The quantum algorithm shows a significant decrease in computational complexity compared to classical methods.
Numerical simulations highlight the robustness of the quantum algorithm under larger time steps.
The proposed method utilizes Hamiltonian simulation with quantum singular value transformation.
Results demonstrate effectiveness in solving collisionless plasma dynamics and instabilities.

Higuchi et al. (2025) studied this question.

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