Hybrid quantum-classical algorithms exploit the asymptotic reduction of strongly nonlinear PDEs to linear elliptic problems plus vortex dynamics, achieving exponential speedup in spatial size for 2D cases via quantum BPX preconditioning and Schrödingerization.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
-
Hybrid quantum-classical algorithms for complex nonlinear partial differential equations with Ginzburg-Landau potential and vortex motion laws
Hybrid quantum-classical algorithms exploit the asymptotic reduction of strongly nonlinear PDEs to linear elliptic problems plus vortex dynamics, achieving exponential speedup in spatial size for 2D cases via quantum BPX preconditioning and Schrödingerization.
-
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.