Pedophilia is defined as an enduring sexual attraction to children.
You don't ever really cure the attraction. Most pedophiles may still have fantasies, for example, of sex with children. *But* you can modify behavior. Pedophiles don't have to act on their attractions. In that sense, they can be "cured".
Here's a link with lots of articles on how to approach this issue legally.
LINK: Legal Information on Sex Offenders
Also, here is an organization working with sex offenders and finding them perpetual treatment. This one has about the most Christ-like mission and agenda that I've seen regarding this issue
Through treatment, community support, and personal commitment, most persons who have sexually offended can become responsible members of society, and those at risk to sexually act out can successfully learn ways not to offend.
LINK:
Sex Abuse Treatment Alliance