  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.
