For quantum computing (QC) to emerge as a practically indispensable computational tool,
there is a need for quantum protocols with end-to-end practical applications—in this …

Simulating fluid dynamics on a quantum computer is intrinsically difficult due to the nonlinear
and non-Hamiltonian nature of the Navier-Stokes equation (NSE). We propose a framework …

We simulate the nonlinear chaotic dynamics of Lorenz-type models for a classical two-
dimensional thermal convection flow with three and eight degrees of freedom by a hybrid …

Loading functions into quantum computers represents an essential step in several quantum
algorithms, such as quantum partial differential equation solvers. Therefore, the inefficiency …

Two quantum algorithms are presented for the numerical solution of a linear one-
dimensional advection–diffusion equation with periodic boundary conditions. Their accuracy …

We present a quantum computing algorithm for fluid flows based on the Carleman-
linearization of the Lattice Boltzmann (LB) method. First, we demonstrate the convergence of …

This is a review of recent research exploring and extending present-day quantum computing
capabilities for fusion energy science applications. We begin with a brief tutorial on both …

Quantum computational fluid dynamics (QCFD) offers a promising alternative to classical
computational fluid dynamics (CFD) by leveraging quantum algorithms for higher efficiency …

Studies of strongly nonlinear dynamical systems such as turbulent flows call for superior
computational prowess. With the advent of quantum computing (QC), a plethora of quantum …

The Koopman operator has entered and transformed many research areas over the last
years. Although the underlying concept—representing highly nonlinear dynamical systems …