algorithm complexity 1carleman embedding 1fourier-hermite expansion 1plasma physics 1quantum algorithms 1vlasov-poisson system 1
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quant-ph2026
Improved Convergence of Carleman-Embedded Quantum Algorithm for the Vlasov-Poisson System
Matthew Christensen, Tom Goffrey, Animesh Datta
The paper improves the convergence analysis of a Carleman-embedded quantum algorithm for solving the Vlasov‑Poisson equations, providing analytical and numerical bounds and examini…
quant-ph2025
Solving the Nonlinear Vlasov Equation on a Quantum Computer
Tamás Vaszary, Animesh Datta, Tom Goffrey +1
We present a mapping of the nonlinear, electrostatic Vlasov equation with Krook-type collision operators, discretized on a (1+1) dimensional grid, onto a recent Carleman linearizat…