LHAM converts nonlinear PDEs into linear recursive systems via homotopy analysis and simulates them through Lindbladian quantum dynamics, achieving logarithmic Hilbert space scaling versus polynomial scaling in prior methods.
Barren plateaus in quantum neural network training landscapes
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Lindbladian Homotopy Analysis Method to Solve Nonlinear Partial Differential Equations
LHAM converts nonlinear PDEs into linear recursive systems via homotopy analysis and simulates them through Lindbladian quantum dynamics, achieving logarithmic Hilbert space scaling versus polynomial scaling in prior methods.