Not had a chance to read the paper yet but the ability to find computational shortcuts in a epistemically minimalist way (ie, essentially admitting that we have no idea how to solve the problem and let a computer iteratively work it out) for solving analytically irreducible PDEs makes me very bearish on quantum computing. A quantum system can be described by Schrodinger's equation, which is no more esoteric than any other wave equation. If it's hard to solve now, maybe it's just because the computationally efficient methods can't be reached by mathematical analysis. But it doesn't mean those computational methods don't exist.
