Potential quantum advantage for nonlinear multiscale complex systems

Nonlinear multiscale complex systems are ubiquitous in nature and are notoriously challenging to simulate on classical computers due to the curse of dimensionality. Quantum computers promise a computational advantage for certain classes of problems. It is natural to ask whether a quantum advantage can be harnessed to simulate nonlinear multiscale complex systems. I will present potential quantum advantages for simulating turbulence and subcellular multiscale reaction-diffusion systems within a theoretical algorithmic framework.