Carleman-Grad approach to the quantum simulation of fluids

• URL: http://arxiv.org/abs/2406.01118v1
• Date: Mon, 3 Jun 2024 08:58:40 GMT
• Title: Carleman-Grad approach to the quantum simulation of fluids
• Authors: Claudio Sanavio, Enea Mauri, Sauro Succi,
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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