A QFT-based quantum Poisson solver with the Hockney method for free fields works in small ideal simulations, but the multiplication and state-preparation steps destroy any runtime advantage.
Since the plots for these cases are very similar to correspond- ing cases in section IV they were just included here for completeness
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A Quantum Algorithm for Solving the Poisson Equation for Free Field Conditions via the Hockney Method
A QFT-based quantum Poisson solver with the Hockney method for free fields works in small ideal simulations, but the multiplication and state-preparation steps destroy any runtime advantage.