On what legal authority?
FU CDC
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The federal government derives its authority for isolation and quarantine from the Commerce Clause of the U.S. Constitution. Under section 361 of the Public Health Service Act (42 U.S. Code § 264), the U.S. Secretary of Health and Human Services is authorized to take measures to prevent the entry and spread of communicable diseases from foreign countries into the United States and between states.
The authority for carrying out these functions on a daily basis has been delegated to the Centers for Disease Control and Prevention (CDC).