Quantum circuit framework for advection-diffusion PDEs with Robin and periodic boundary conditions via LCHS, including LCU error analysis and gate complexity showing potential quantum advantage in high dimensions.
Quantum homotopy algorithm for solving nonlinear pdes and flow probl ems
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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.
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Quantum circuits for the advection-diffusion equation with boundary conditions based on LCHS
Quantum circuit framework for advection-diffusion PDEs with Robin and periodic boundary conditions via LCHS, including LCU error analysis and gate complexity showing potential quantum advantage in high dimensions.
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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.