Earlier quoted context omitted.
> this assumes that we have some way to evolve a quantum system precisely according to input data, a much harder problem than the linear algebra itself That's a fair point. I guess I was interpreting OP's question as "what can we do once we have engineered quantum computers", and would categorise this "harder problem" as an engineering problem.
> would categorise this "harder problem" as an engineering problem. I'm not sure what your relation to the field is, but I have found that a lot of things that look like engineering problems from the outside, end up being theoretical and fundamental problems from within. This is often the case when I discuss quantum noise of gravitational wave detectors. I often see people say things like "I wouldn't want to be the g…
For reference I am out of my depth! My doctorate was in quantum information theory but I've been out of academia for many years now.