Presents structure-preserving quantum method-of-lines algorithms for parabolic and hyperbolic PDEs with mixed BCs, using Coons interpolation, similarity transforms, and explicit quantum circuit constructions with complexity and error bounds.
HAM-Schrodingerisation: a generic framework of quantum simulation for any nonlinear PDEs
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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quant-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Quantum algorithm for 1D NLSE via Lax-pair scattering performs time evolution analytically in the scattering domain and reconstructs solutions with QSVT.
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Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions
Presents structure-preserving quantum method-of-lines algorithms for parabolic and hyperbolic PDEs with mixed BCs, using Coons interpolation, similarity transforms, and explicit quantum circuit constructions with complexity and error bounds.
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Quantum algorithm for the nonlinear Schr\"odinger equation via the Lax-pair scattering
Quantum algorithm for 1D NLSE via Lax-pair scattering performs time evolution analytically in the scattering domain and reconstructs solutions with QSVT.