Ensemble Fluid Simulations on Quantum Computers
Quantum Physics
2023-04-13 v1 Mathematical Physics
math.MP
Computational Physics
Fluid Dynamics
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 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.
Cite
@article{arxiv.2304.05410,
title = {Ensemble Fluid Simulations on Quantum Computers},
author = {Sauro Succi and Wael Itani and Katepalli R. Sreenivasan and Rene Steijl},
journal= {arXiv preprint arXiv:2304.05410},
year = {2023}
}