Carleman linearization approach for chemical kinetics integration toward quantum computation

@article{Akiba2022CarlemanLA,
  title={Carleman linearization approach for chemical kinetics integration toward quantum computation},
  author={Takaki Akiba and Youhi Morii and Kaoru Maruta},
  journal={ArXiv},
  year={2022},
  volume={abs/2207.01818}
}
The Harrow, Hassidim, Lloyd (HHL) algorithm is a quantum algorithm expected to accelerate solving large-scale linear ordinary differential equations (ODEs). To apply the HHL to non-linear problems such as chemical reactions, the system must be linearized. In this study, Carleman linearization was utilized to transform nonlinear first-order ODEs of chemical reactions into linear ODEs. Although this linearization theoretically requires the generation of an infinite matrix, the original nonlinear… 

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