Okay, fine. I looked at the paper. This article describes a quantum algorithm that solves for an approximate value of an operator predicated on the solution to a linear system of equations, and does the work roughly in logN time instead of N time (setting aside the condition number side of things, which is messy). While that's perfectly nifty, it's a long jump from there to "instantaneously" as one person said. More to the point, it's not applicable even conceptually to the problem at hand of modeling the output of a tube amplifier and you'd find it to be depressingly far from real time at the things it can do. When it comes to quantum computing, we're talking about accelerating calculations from weeks to hours. That's potentially awesome for classes of problems that have no relevance whatsoever to home computing - at least for a couple decades. I have faith that we can solve amp modeling before that, with conventional systems. Read the paper first next time. Honestly it seems to me that the problem with amp modeling is little to do with processing power and everything to do with a somewhat incomplete understanding of all the mechanisms and subtleties at play in these amplifiers. It's not "we know exactly what's happening and don't have the power to model it" but rather "we're refining and enhancing the models to represent all of the details of the output".