Carleman-Grad approach to the quantum simulation of fluids

C. Sanavio, E. Mauri, S. Succi · 2024 · arXiv

| 编号 QC042 | 主题 量子格子玻尔兹曼 | 链接 arXiv:2406.01118 |

摘要

摘要保留原文（英文）

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We discuss the Carleman linearization approach to the quantum simulation of classical fluids based on Grad’s generalized hydrodynamics and compare it to previous investigations based on lattice Boltzmann and Navier-Stokes formulations. We show that the Carleman-Grad procedure exhibits intermediate properties between the two. Namely, convergence of the Carleman iteration over a few tens of timesteps and a potentially viable quantum circuit implementation using quantum linear algebra solvers. However, both features still need substantial improvements to yield a viable quantum algorithm for fluid flows.

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