3 papers
quant-ph2026
Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation
Niccolo Fonio, Giuseppe Di Molfetta, Pierre Sagaut
Most recently proposed quantum algorithms for solving linear and nonlinear partial differential equations rely on non-unitary operations. These operations are typically implemented…
quant-ph2026
Quantum algorithm for the lattice Boltzmann method with applications on real quantum devices
Antonio Bastida-Zamora, Ljubomir Budinski, Oskari Kerppo +8
We introduce a novel quantum algorithm for the lattice Boltzmann method (LBM) based on the one-step simplified LBM. The structure of the algorithm allows for more flexibility in mo…
quant-ph2026
Two-dimensional quantum lattice gas algorithm for anisotropic Burger-like equations
Niccoló Fonio, Pierre Sagaut, Giuseppe Di Molfetta
Building on hybrid quantum lattice gas algorithm, we revisit the possibilities of this quantum lattice model. By deriving a correction to the predicted viscosity, we provide analyt…