A quantum algorithm for genuine Navier-Stokes equations is developed using Schrödinger-Navier-Stokes reformulation, Hamilton-Jacobi equations, and tensor-network Carleman embedding, with classical emulation shown for moderate-Reynolds Kolmogorov flows.
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Schr\"odinger-Navier-Stokes Equation for the Quantum Simulation of Navier-Stokes Flows
A quantum algorithm for genuine Navier-Stokes equations is developed using Schrödinger-Navier-Stokes reformulation, Hamilton-Jacobi equations, and tensor-network Carleman embedding, with classical emulation shown for moderate-Reynolds Kolmogorov flows.