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
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…
quant-ph2025
Adaptive Lattice Gas Algorithm: Classical and Quantum implementations
Niccolò Fonio, Ljubomir Budinski, Valtteri Lahtinen +1
Lattice gas algorithms (LGA) are a class of algorithms including, in chronological order, binary lattice gas cellular automata (LGCA), integer lattice gas algorithms (ILGA) and lat…