A Carleman linearization maps 1D shallow water equations to a linear system for quantum solvers, but validation is limited to small-amplitude test cases and the speedup remains conditional.
First, the initial quantum state |b⟩ must be prepared efficiently
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Linearization Scheme of Shallow Water Equations for Quantum Algorithms
A Carleman linearization maps 1D shallow water equations to a linear system for quantum solvers, but validation is limited to small-amplitude test cases and the speedup remains conditional.