A quantum algorithm encodes probability densities in state amplitudes and uses QFT plus phase rotations to propagate Fokker-Planck drift exactly and diffusion approximately via a Wick-rotated unitary surrogate, achieving numerical agreement with the classical solution.
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Quantum Prediction of Transport Dynamics in Discretized State Spaces
A quantum algorithm encodes probability densities in state amplitudes and uses QFT plus phase rotations to propagate Fokker-Planck drift exactly and diffusion approximately via a Wick-rotated unitary surrogate, achieving numerical agreement with the classical solution.