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.
Bulletproofing Bayesian particle flow against stiffness
2 Pith papers cite this work. Polarity classification is still indexing.
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Derives exact closed-form expressions for Daum-Huang deterministic particle flow under linear Gaussian measurements, proves equivalence to Kalman update, and extends via N-step piecewise method with constant contraction schedule to nonlinear models.
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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.
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An integration-free approach for particle flow filtering
Derives exact closed-form expressions for Daum-Huang deterministic particle flow under linear Gaussian measurements, proves equivalence to Kalman update, and extends via N-step piecewise method with constant contraction schedule to nonlinear models.