Quantum algorithm for the lattice Boltzmann method with applications on real quantum devices

Fuente: arXiv
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Autori principali: Bastida-Zamora, Antonio, Budinski, Ljubomir, Kerppo, Oskari, Lahtinen, Valtteri, Niemimäki, Ossi, Steadman, William, Zamora-Zamora, Roberto, Sagaut, Pierre, Bohun, Vladyslav, Koch-Janusz, Maciej, Lukin, Illia
Natura: Preprint
Pubblicazione: 2026
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author Bastida-Zamora, Antonio
Budinski, Ljubomir
Kerppo, Oskari
Lahtinen, Valtteri
Niemimäki, Ossi
Steadman, William
Zamora-Zamora, Roberto
Sagaut, Pierre
Bohun, Vladyslav
Koch-Janusz, Maciej
Lukin, Illia
author_facet Bastida-Zamora, Antonio
Budinski, Ljubomir
Kerppo, Oskari
Lahtinen, Valtteri
Niemimäki, Ossi
Steadman, William
Zamora-Zamora, Roberto
Sagaut, Pierre
Bohun, Vladyslav
Koch-Janusz, Maciej
Lukin, Illia
contents We introduce a novel quantum algorithm for the lattice Boltzmann method (LBM) based on the one-step simplified LBM. The structure of the algorithm allows for more flexibility in modelling different physics in contrast to earlier quantum algorithms for the LBM, while retaining computational efficiency in terms of the gate and qubit complexity. The new algorithm has potential for full end-to-end quantum utility especially for linear problems. We discuss the implementation of examples in linear acoustics, as well as a nonlinear Navier-Stokes problem that was solved on an IBM QPU in a hybrid simulation loop.
format Preprint
id arxiv_https___arxiv_org_abs_2603_02127
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quantum algorithm for the lattice Boltzmann method with applications on real quantum devices
Bastida-Zamora, Antonio
Budinski, Ljubomir
Kerppo, Oskari
Lahtinen, Valtteri
Niemimäki, Ossi
Steadman, William
Zamora-Zamora, Roberto
Sagaut, Pierre
Bohun, Vladyslav
Koch-Janusz, Maciej
Lukin, Illia
Quantum Physics
We introduce a novel quantum algorithm for the lattice Boltzmann method (LBM) based on the one-step simplified LBM. The structure of the algorithm allows for more flexibility in modelling different physics in contrast to earlier quantum algorithms for the LBM, while retaining computational efficiency in terms of the gate and qubit complexity. The new algorithm has potential for full end-to-end quantum utility especially for linear problems. We discuss the implementation of examples in linear acoustics, as well as a nonlinear Navier-Stokes problem that was solved on an IBM QPU in a hybrid simulation loop.
title Quantum algorithm for the lattice Boltzmann method with applications on real quantum devices
topic Quantum Physics
url https://arxiv.org/abs/2603.02127