I'm kind of on the fence about absolute prison abolishment.
Even in a perfect Anarchist utopia, you're still going to have the occasional unreformable sociopath, violent lunatic, child rapist, etc. The kind of person who's hurting other people and isn't going to stop unless forced to. (Not to mention malicious actors who might be trying to corrupt or destroy your Anarchist utopia, funded by or sent from outside states.)
Okay, sure, there are other options. You could call these issues mental health issues and lock such dangerously unwell people up in mental health treatment ... but in such cases, isn't that just a prison with a different name? You could summarily execute such people, but if anything, that sounds even worse than operating prisons. You could exile them and banish them from your Anarchist utopia ... but where are you going to send them? To some other state ... which will probably end up locking them up in prison? That's just prison with extra steps. To some wilderness, if there's even any available? But what if they keep trying to sneak back in? You could mutilate them, physically disabling them and making them unable to hurt anyone, but again ... that's sounding more horrific than prisons.
Now, I don't want anybody to get me wrong -- these unreformable threats to society are rare. Any prison operated should be tiny, as it won't need to house very many people at all. An Anarchist utopia prison system should be less than 1% the size of a normal state's prison system (and a tiny fraction of a percent compared to the USA's prison system). And the people kept there should be kept absolutely as comfortably and humanely as possible. They should even be offered entertainment and 'luxury' if practical to do so. For those very few locked up in prison, they should still have a full, enjoyable life there, as much as possible.
But ... I don't quite see how it can be abolished completely ... not without replacing it either with something that's the same thing wearing a different name, or with something worse. (And no, I don't buy into the hopium that a utopian and just society would never create such monsters in the first place. That might reduce their number, but it won't stop them completely. Some of it is just genetic issues and random mental illness.)