Subject to the provisions of this subchapter and to the extent necessary to effectuate the purposes of this subchapter, there is hereby relinquished to the respective State or dependency of the United States such jurisdiction pertaining to the administration of estates of decedents as may have been ceded to the United States by said State or dependency of the United States respecting the Federal reservation on which is situated any Department facility while such facility is operated by the Department; such jurisdiction with respect to any such property on any such reservation to be to the same extent as if such premises had not been ceded to the United States. Nothing in this section shall be construed to deprive any State or dependency of the United States of any jurisdiction which it now has nor to give any State, possession, or dependency of the United States authority over any Federal official as such on such premises or otherwise.