Double-Logarithmic Depth Block-Encodings of Simple Finite Difference Method's Matrices

S Ty, R Vilmart, A Tahmasebimoradi… - arxiv preprint arxiv …, 2024 - arxiv.org
Solving differential equations is one of the most computationally expensive problems in
classical computing, occupying the vast majority of high-performance computing resources …

Divergence-free algorithms for solving nonlinear differential equations on quantum computers

K Endo, KZ Takahashi - arxiv preprint arxiv:2411.16233, 2024 - arxiv.org
From weather to neural networks, modeling is not only useful for understanding various
phenomena, but also has a wide range of potential applications. Although nonlinear …