Unitary quantum algorithm for the lattice-Boltzmann method

D. Wawrzyniak, J. Winter, S. Schmidt, T. Indinger, U. Schramm, C. F. Janßen, N. A. Adams · 2024 · arXiv

| 编号 QC049 | 主题 量子格子玻尔兹曼 | 链接 arXiv:2405.13391 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

We present a quantum algorithm for computational fluid dynamics based on the Lattice-Boltzmann method. Our approach involves a novel encoding strategy and a modified collision operator, assuming full relaxation to the local equilibrium within a single time step. Our quantum algorithm enables the computation of multiple time steps in the linearized case, specifically for solving the advection-diffusion equation, before necessitating a full state measurement. Moreover, our formulation can be extended to compute the non-linear equilibrium distribution function for a single time step prior to measurement, utilizing the measurement as an essential algorithmic step. However, in the non-linear case, a classical postprocessing step is necessary for computing the moments of the distribution function. We validate our algorithm by solving the one dimensional advection-diffusion of a Gaussian hill. Our results demonstrate that our quantum algorithm captures non-linearity.

本站词条在引用该文献时，会以 wikilink（sources/QC049）链接到本页；右侧「反向链接」面板自动列出所有引用它的词条。