The statement that "Inter-State quarantine is a Union subject under the Union List" is correct, as it pertains to the regulation of health and safety measures that can be enacted during public health emergencies. The Union List, as defined in the Seventh Schedule of the Constitution of India, includes subjects where only the central government has the authority to legislate, including matters related to health, which encompasses quarantines to manage the spread of diseases across state borders. This reflects the constitutional framework that empowers the Union government to ensure a coordinated response to public health issues that can affect multiple states, thus maintaining overall national health security.