I think the person you're replying to is asking for your specific argument. As in what exactly do you think is the advantage gained by quantum computing and why is it important.
Well, as weird as it is, I took the approach of AI itself deciding it wants to utilize quantum computing to, itself, realize a more generalized intelligence. I like Nick Bostrom so that should give you a sense of the direction I come at this stuff from. My understanding is that quantum computing is quite good around combinatoric challenges, as we're not to shabby there...I was thinking it would be helpful.. anyway, it would take a long time to explain the conversation but generally my thought was that AI operating classically will probably want to outsource some of that thinking, especially probabilistic.... it's "future thought" if you will, to something more like QC.