Ensemble fluid simulations on quantum computers

Succi, S., Itani, W., Sanavio, C., Sreenivasan, K. R. and Steijl, R. (2024) Ensemble fluid simulations on quantum computers. Computers and Fluids, 270, 106148. (doi: 10.1016/j.compfluid.2023.106148)

Abstract

We discuss the viability of ensemble simulations of fluid flows on quantum computers. The basic idea is to formulate a functional Liouville equation for the probability distribution of the flow field configuration and recognize that, due to its linearity, such an equation is in principle more amenable to quantum computing than the dynamic equations of fluid motion. After suitable marginalization and associated closure, the Liouville approach is shown to require several hundreds of logical qubits, hence calling for a major thrust in current noise correction and mitigation techniques.

• Item Type: Articles
• Additional Information: S.S. acknowledges financial support from the Italian National Centre for HPC, Big Data and Quantum Computing (CN00000013).
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Steijl, Dr Rene
• Authors: Succi, S., Itani, W., Sanavio, C., Sreenivasan, K. R., and Steijl, R.
• College/School: College of Science and Engineering > School of Engineering > Autonomous Systems and Connectivity
• Journal Name: Computers and Fluids
• Publisher: Elsevier
• ISSN: 0045-7930
• ISSN (Online): 1879-0747
• Published Online: 09 December 2023
• Copyright Holders: Copyright © 2023 Elsevier Ltd.
• First Published: First published in Computers and Fluids 270:106148
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher