An HHL-Based Quantum-Classical Solver for the Incompressible Navier-Stokes Equations with Approximate QST
This paper presents a hybrid quantum-classical solver that integrates the Harrow-Hassidim-Lloyd (HHL) algorithm with Chebyshev-based approximate quantum state tomography to efficiently solve the incompressible Navier-Stokes equations, successfully validating the approach through accurate simulations of lid-driven cavity and Taylor-Green vortex flows using IBM's Qiskit framework.