A quantum IMEX scheme via Schrödingerization for multiscale ODEs and PDEs achieves ε-independent discretization and requires only an extra logarithmic factor in auxiliary register size versus prior HHL-type quantum AP schemes.
Error convergence of quantum linear system solvers.arXiv preprint arXiv:2410.18736, 2024
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Quantum Implicit-Explicit Schemes for Multiscale Ordinary and Partial Differential Equations via Schr\"odingerization
A quantum IMEX scheme via Schrödingerization for multiscale ODEs and PDEs achieves ε-independent discretization and requires only an extra logarithmic factor in auxiliary register size versus prior HHL-type quantum AP schemes.