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quant-ph2024
Explicit Quantum Circuit for Simulating the Advection-Diffusion-Reaction Dynamics
Claudio Sanavio, Enea Mauri, Sauro Succi
We assess the convergence of the Carleman linearization of advection-diffusion-reaction (ADR) equations with a logistic nonlinearity. It is shown that five Carleman iterates provid…
quant-ph2024
Carleman-Grad approach to the quantum simulation of fluids
Claudio Sanavio, Enea Mauri, Sauro Succi
We discuss the Carleman linearization approach to the quantum simulation of classical fluids based on Grad's generalized hydrodynamics and compare it to previous investigations bas…