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.
Potier-Ferry, Asymptotic numerical method for hyperelasticity and elastoplastic- ity: a review, Proceedings of the Royal Society A 480 (2285) (2024) 20230714
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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.