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Trapped Ion Quantum Computing Quantum Simulation

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

arXiv
Authors: Antonio Bastida-Zamora, Ljubomir Budinski, Oskari Kerppo, Valtteri Lahtinen, Ossi Niemimäki, William Steadman, Roberto Zamora-Zamora, Pierre Sagaut, Vladyslav Bohun, Maciej Koch-Janusz, Illia Lukin

Year

2026

Paper ID

22463

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

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.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We introduce a novel quantum algorithm for the lattice Boltzmann method (LBM) based on the one-step simplified LBM.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.02127 [2] arXiv https://arxiv.org/abs/2603.02127 [3] Publisher https://arxiv.org/abs/2603.02127

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