Public Housing Drug Elimination Program Reauthorization Act of 2011 - Amends the Anti-Drug Abuse Act of 1988 to authorize appropriations for the assisted housing drug elimination program. Limits activities for programs designed to reduce drug use in and around assisted low-income housing to: (1) providing drug abuse treatment through rehabilitation or relapse prevention, (2) providing education about the dangers and consequences of drug use or violent crime, (3) identifying drug users and assisting drug use discontinuance through education or treatment programs, (4) providing after school youth activities, and (5) providing capital improvements and security services to discourage or eliminate drug use or violent crime.