arxiv5/20/2026, 2:38:04 AM
Pivot-Shifted Carleman Linearization Expands Quantum Solvers to Broader Nonlinear ODE ClassesA new framework called pivot-shifted Carleman linearization improves quantum algorithms for solving quadratic nonlinear ODEs by shifting the system's dynamics around a chosen pivot state before applying Carleman lifting, combined with a Lyapunov transform and rescaling. This appr…