Quantum lattice Boltzmann method for several time steps: A local Carleman linearization algorithm

A. D. Bastida Zamora, L. Budinski, V. Lahtinen, S. Sagaut · 2025 · arXiv

| 编号 QC045 | 主题 量子格子玻尔兹曼 | 链接 arXiv:2511.13072 |

摘要

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This article presents a novel encoding for quantum Lattice Boltzmann method algorithm using Carleman linearization. In contrast to previous articles [1, 2], the encoding used allows for local collision rules while keeping a higher probability to obtain the right result, which is of the order of $10^{-2}$ . The algorithm scales as $O(lo{g}_2^2(N)+Q^3)$ each time step with N the number of lattice sites of the 2D lattice and Q the number of channels with a constant number of qubits when using dynamical circuits.

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