qANM applies high-order perturbation via Taylor series to convert nonlinear systems to linear equations solved by variational quantum linear solver and quantum Jacobi method, with simulator validation and 98% accuracy on a noisy superconducting processor.
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Hybrid VQLS pipeline with Carleman linearization recovers high-fidelity solutions to the weakly nonlinear Duffing equation on IBM and Xanadu hardware using symmetry-grouped measurements and optimized ansatzes.
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A quantum nonlinear solver based on the asymptotic numerical method
qANM applies high-order perturbation via Taylor series to convert nonlinear systems to linear equations solved by variational quantum linear solver and quantum Jacobi method, with simulator validation and 98% accuracy on a noisy superconducting processor.
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Measurement-Efficient Variational Quantum Linear Solver for Carleman-Linearized Nonlinear Dynamics
Hybrid VQLS pipeline with Carleman linearization recovers high-fidelity solutions to the weakly nonlinear Duffing equation on IBM and Xanadu hardware using symmetry-grouped measurements and optimized ansatzes.