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Quantum Carleman Lattice Boltzmann Simulation of Fluids
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We present a pedagogical introduction to a quantum computing algorithm for the simulation of classical fluids, based on the Carleman linearization of a second-quantized version of lattice kinetic theory. Prospects and limitations for the case of fluid turbulence are discussed and commented on.
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Cited by 2 Pith papers
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Linearization Scheme of Shallow Water Equations for Quantum Algorithms
A Carleman linearization maps 1D shallow water equations to a linear system for quantum solvers, but validation is limited to small-amplitude test cases and the speedup remains conditional.
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Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations
A statevector-emulated HHL solver applied to Carleman-linearized lattice Boltzmann equations achieves about 10^-3 fidelity on tiny 2D benchmarks, but physical accuracy is dominated by the Carleman truncation error, no...
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