Float Lattice Gas Automata: A connection between Molecular Dynamics and Lattice Boltzmann Method for quantum computers
arXiv:2503.23750 · doi:10.1103/5bby-34zx
Abstract
Building upon the Integer Lattice Gas Automata framework of Blommel \textit{et al.} \cite{PhysRevE.97.023310}, we introduce a simplified, fluctuation-free variant. This approach relies on floating-point numbers and closely mirrors the Lattice Boltzmann Method (LBM), with the key distinction being a novel collision operator. This operator, derived from the ensemble average of transition probabilities, generates nonlinear terms. We propose this new Float Lattice Gas Automata (FLGA) collision as a computationally efficient alternative to traditional and quantum LBM implementations.
References in corpus (14)
- Three Dimensional Lattice-Boltzmann Model for Electrodynamics
- Quantum algorithm for the Navier Stokes equations by using the streamfunction vorticity formulation and the lattice Boltzmann method
- Lattice Boltzmann-Carleman quantum algorithm and circuit for fluid flows at moderate Reynolds number
- Three Carleman routes to the quantum simulation of classical fluids
- Efficient and scalable quantum walk algorithms via the quantum Fourier transform
- On the importance of data encoding in quantum Boltzmann methods
- Integer Lattice Gas with Monte Carlo collision operator recovers the entropic lattice Boltzmann method with Poisson distributed fluctuations
- A hybrid classical-quantum algorithm for solution of nonlinear ordinary differential equations
- Fully quantum algorithm for lattice Boltzmann methods with application to partial differential equations
- Efficient parallelization of quantum basis state shift
- Efficient Quantum Lattice Gas Automata
- Integer Lattice Gas with a sampling collision operator for the fluctuating Diffusion Equation
- Quantum collision circuit, quantum invariants and quantum phase estimation procedure for fluid dynamic lattice gas automata
- Quantum Algorithm for Radiative Transfer Equation