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Solving nonlinear pdes with quantum neural networks: A variational approach to the bratu equation,

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Trainable Quantum Spectral Models for Partial Differential Equations

quant-ph · 2026-05-29 · unverdicted · novelty 7.0

Trainable quantum spectral models with an intermediate parameterized mixer (ε ≈ 0.5) outperform standard variational quantum circuits for PDEs by learning in spectral representation, with HHL-inspired architectures showing fastest convergence.

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  • Trainable Quantum Spectral Models for Partial Differential Equations quant-ph · 2026-05-29 · unverdicted · none · ref 27

    Trainable quantum spectral models with an intermediate parameterized mixer (ε ≈ 0.5) outperform standard variational quantum circuits for PDEs by learning in spectral representation, with HHL-inspired architectures showing fastest convergence.