4 papers
Fixing Divergence in Carleman Linearization via Analytical Continuation
Mingshuo Zhu, Hayato Higuchi, Hokuto Iwakiri +4
Nonlinear differential equations play a crucial role in modeling a wide range of phenomena, yet their solutions remain notoriously difficult to obtain. With the rapid development o…
Explicit Quantum Circuit Simulation of Nonlinear 1-Dimensional Fluid with Carleman-linearized Boltzmann Method
Keita Kanno, Kazumasa Ueno, Hayato Higuchi +5
Quantum computation of fluid dynamics has attracted growing attention as a key application of fault-tolerant quantum computers anticipated in the coming decade, with lattice Boltzm…
A Quantum Algorithm for Nonlinear Electromagnetic Fluid Dynamics via Koopman-von Neumann Linearization
Hayato Higuchi, Yuki Ito, Kazuki Sakamoto +2
To simulate plasma phenomena, large-scale computational resources have been employed in developing high-precision and high-resolution plasma simulations. One of the main obstacles…
Quantum Calculation for Two-Stream Instability and Advection Test of Vlasov-Maxwell Equations: Numerical Evaluation of Hamiltonian Simulation
Hayato Higuchi, Juan W. Pedersen, Kiichiro Toyoizumi +3
The Vlasov-Maxwell equations provide kinetic simulations of collisionless plasmas, but numerically solving them on classical computers is often impractical. This is due to the comp…