I trust the state to test the medicine I buy from a pharmacy. The state isn't some __other__ machine. It's made up of people like you and me, trying to make society operate and people to generally get along with eachother.
If I saw that we as a society are moving towards rehabilitation, and better social services for criminals, then yes. I would trust them. Just like I trust them with roads, with hospitals, with medicine, with food.
How does the process of testing medicine compare to that of sex offenders? I don't think the two are at all comparable.
> It's made up of people like you and me
I'm not qualified to test medicine, or run medical trials, so I hope whoever does it on behalf of the government is not like me.
> I trust them with roads, with hospitals, with medicine, with food
All of which have proven physical-science process to verify them. I don't trust criminology/Phycology as a science capable of making the calls you are implying.
Any history of sexual abuse -> be put on a register that prohibits ever working with children again.
So your answer appears to be that the state decides, since they decide what constitutes sexual abuse.
> the state decides, since they decide what constitutes sexual abuse.
True. But its a decision that can be made pretty formulaically from a persons known actions/behaviour, as opposed to predicting their future actions/behaviour.