3 papers
quant-ph2026
A Stable and General Quantum Fractional-Step Lattice Boltzmann Method for Incompressible Flows
Yang Xiao, Liming Yang, Chang Shu +1
Quantum computing shows substantial potential in accelerating simulations and alleviating memory bottlenecks in computational fluid dynamics (CFD), owing to its inherent properties…
quant-ph2025
Quantum Lattice Kinetic Scheme for Solving Two-dimensional and Three-dimensional Incompressible Flows
Yang Xiao, Liming Yang, Chang Shu +3
Lattice Boltzmann method (LBM) is particularly well-suited for implementation on quantum circuits owing to its simple algebraic operations and natural parallelism. However, most qu…
quant-ph2025
A Novel Quantum Fourier Ordinary Differential Equation Solver for Solving Linear and Nonlinear Partial Differential Equations
Yang Xiao, Liming Yang, Chang Shu +2
In this work, a novel quantum Fourier ordinary differential equation (ODE) solver is proposed to solve both linear and nonlinear partial differential equations (PDEs). Traditional…