159:3  Convicted Felons.  Except as provided in RSA 159:3-a, upon completion of a term of incarceration, including all other conditions and requirements of the sentence, a person who was convicted of a felony that did not involve committing an act of violence shall have the right to possess and use a pistol, revolver, or other firearm in accordance with the provisions of this chapter.  In this section, "act of violence" shall mean physical harm inflicted upon another individual.

You serve your punishment and you get your Rights back. Seems reasonable.