Furloughed Federal Employee Double Dip Elimination Act - Requires regulations pertaining to the compensation of any federal employees who receive back pay for any period in which such employee was furloughed due to a lapse in appropriations to require such back pay to be treated in the same way as federal wages attributable to such employee, and the period to which such back pay relates to be treated in the same way as a period of federal service attributable to such employee (thereby disqualifying such employee for receipt of state unemployment compensation).