Pivot-shifted Carleman linearization with Lyapunov transform enables logarithmic truncation and removes initial-condition lower bounds for quantum simulation of a broader class of nonlinear ODEs.
Arbitrary bound- ary conditions and constraints in quantum algorithms for differential equations via penalty projections.arXiv preprint 26 arXiv:2506.21751, 2025
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Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization
Pivot-shifted Carleman linearization with Lyapunov transform enables logarithmic truncation and removes initial-condition lower bounds for quantum simulation of a broader class of nonlinear ODEs.