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arXiv:2307.05157 · Europhysics Letters (EPL)

Quantum computing for fluids: Where do we stand?

Sauro Succi A, W. Itani, Katepalli R. Sreenivasan, R. Steijl

Published Sep 27, 2023• 67 citations
arXivHTMLPDF

Abstract

Abstract We present a pedagogical introduction to the current state of quantum computing algorithms for the simulation of classical fluids. Different strategies, along with their potential merits and liabilities, are discussed and commented on.
DOI
10.1209/0295-5075/acfdc7

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The implementation of quantum algorithms for the simulation of classical fluid dynamics poses a fundamental challenge due to the nonlinearity of the fluid equations. In this work, we provide a pedagogical introduction to quantum computing algorithms for simulating classical fluids, with a special focus on the Carleman-Lattice Boltzmann algorithm, which has captured significant attention in the last couple of years. While this algorithm demonstrates satisfactory convergence to analytical solutions for systems at low-to-moderate Reynolds numbers, it also shows an exponential depth of the corresponding quantum circuit. As a result much further analysis is needed to assess the availability of the Carleman-Lattice Boltzmann method on a quantum computer.
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