Carleman-Grad approach to the quantum simulation of fluids

Claudio Sanavio; Enea Mauri; Sauro Succi

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arXiv · 2406.01118

Carleman-Grad approach to the quantum simulation of fluids

Claudio Sanavio·Enea Mauri·Sauro Succi

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Abstract

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 based on lattice Boltzmann and Navier-Stokes formulations. We show that the Carleman-Grad procedure exhibits intermediate properties between the two. Namely, convergence of the Carleman iteration over a few tens of timesteps and a potentially viable quantum circuit implementation using quantum linear algebra solvers. However, both features still need substantial improvements to yield a viable quantum algorithm for fluid flows.

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Claudio Sanavio, Enea Mauri, Sauro Succi. 2024-06-03. Carleman-Grad approach to the quantum simulation of fluids. https://arxiv.org/abs/2406.01118

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