To my knowledge, this depends on the interpretation. Some interpretations consider wave function collapse an actual physical process, some don't, so I don't bel

To my knowledge, this depends on the interpretation. Some interpretations consider wave function collapse an actual physical process, some don't, so I don't believe it is possible to make an absolute statement such as yours. There is still some debate about whether or not the process occurs over finite time (at least there was 2-3 years ago -- perhaps things have moved on since then and I haven't caught up. If there have been new developments along these lines, I'd be interested to see it). Regardless, it can be computed as a process, and this is where I believe the analogy in question arises. Is a perfect analogy? Of course not -- no analogies are. Bubble sort has no bubbles and involves no liquids or gravity, or buoyancy, etc. etc. the analogy still works despite that IMO.