Quantum lattice Boltzmann method for several time steps: A local Carleman linearization algorithm
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912964086333440 |
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| author | Zamora, Antonio David Bastida Budinski, Ljubomir Lahtinen, Valtteri Sagaut, Pierre |
| author_facet | Zamora, Antonio David Bastida Budinski, Ljubomir Lahtinen, Valtteri Sagaut, Pierre |
| contents | This article presents a novel encoding for quantum Lattice Boltzmann method algorithm using Carleman linearization. In contrast to previous articles \cite{Sanavio2024LatticeBC,sanavio2025carleman}, 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 $O(log_2^2(N)+Q^3)$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13072 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum lattice Boltzmann method for several time steps: A local Carleman linearization algorithm Zamora, Antonio David Bastida Budinski, Ljubomir Lahtinen, Valtteri Sagaut, Pierre Quantum Physics This article presents a novel encoding for quantum Lattice Boltzmann method algorithm using Carleman linearization. In contrast to previous articles \cite{Sanavio2024LatticeBC,sanavio2025carleman}, 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 $O(log_2^2(N)+Q^3)$ 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. |
| title | Quantum lattice Boltzmann method for several time steps: A local Carleman linearization algorithm |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.13072 |