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.
Hamiltonian simulation with nearly optimal dependence on all parameters
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An oracle-free Trotter-based quantum algorithm for nonadiabatic molecular dynamics achieves circuit depth advantages over QROM architectures and retains T-gate scalability compared to quantum signal processing.
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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.
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An Oracle-Free Quantum Algorithm for Nonadiabatic Quantum Molecular Dynamics
An oracle-free Trotter-based quantum algorithm for nonadiabatic molecular dynamics achieves circuit depth advantages over QROM architectures and retains T-gate scalability compared to quantum signal processing.