'...It is possible that furloughed employees may become eligible for unemployment compensation. State unemployment compensation requirements differ. Some States require a 1-week waiting period before an individual qualifies for payments. Agencies or employees should submit questions to the appropriate State (or District of Columbia) office. In general, the law of the State in which an employee’s last official duty station in Federal civilian service was located will be the State law that determines eligibility for unemployment insurance benefits. (See the Department of Labor website "Unemployment Compensation for Federal Employees" at http://workforcesecurity.doleta.gov/unemploy/unemcomp.asp.)...'
Reference: Department of Labor