4 citations · 6 across the 4 of their papers we have counts for
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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…
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…
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…
Quantum collision circuit, quantum invariants and quantum phase estimation procedure for fluid dynamic lattice gas automata
Niccolo Fonio, Pierre Sagaut, Giuseppe Di Molfetta
Lattice Gas Cellular Automata (LGCA) is a classical numerical method widely known and applied to simulate several physical phenomena. In this paper, we study the translation of LGC…