Quantum computing promises to provide the next step up in computational power for diverse
application areas. In this review, we examine the science behind the quantum hype and …

We present a versatile and efficient quantum algorithm based on the Lattice Boltzmann
method (LBM) approximate solution of the linear advection-diffusion equation (ADE). We …

Partial differential equation solvers are required to solve the Navier–Stokes equations for
fluid flow. Recently, algorithms have been proposed to simulate fluid dynamics on quantum …

This study presents a novel quantum algorithm for lattice gas automata simulation with a
single time step, demonstrating logarithmic complexity in terms of CX gates. The algorithm is …

We propose quantum methods for solving differential equations that are based on a gradual
improvement of the solution via an iterative process, and are targeted at applications in fluid …

Quantum computing has the potential to speedup simulations exponentially. Its applicability
span diverse fields such as biochemistry, cryptography and multiphysics simulations. In this …