Efficient Quantum Algorithm for Nonlinear Reaction–Diffusion Equations and Energy Estimation by Liu, Jin-Peng, An, Dong, Fang, Di, Wang, Jiasu, Low, Guang H., Jordan, Stephen

“…As applications of our quantum algorithm we consider the Fisher-KPP and Allen-Cahn equations, which have interpretations in classical physics. In particular, we show how to estimate the mean square kinetic energy in the solution by postprocessing the quantum state that encodes it to extract derivative information.…”
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