The foundational value of quantum computing for classical fluids

Quantum algorithms for classical physics problems expose new patterns of quantum information flow as compared to the many-body Schrödinger equation. As a result, besides their potential practical applications, they also offer a valuable theoretical and computational framework to elucidate the foundations of quantum mechanics, particularly the practical value of the many-body Schrödinger equation in the limit of large number of particles, on the order of the Avogadro number. This idea is illustrated by means of a concrete example, the block-encoded Carleman embedding of the lattice Boltzmann (LB) formulation of fluid dynamics (CLB hereafter).