The White House announced today that they will lift the travel ban on incoming vaccinated travelers in November.
Visitors will have to be fully vaccinated and test before arrival.
Unvaccinated Americans returning will have to test within 24 hours of arrival home. And again upon arrival.
Airlines will have to collect phone numbers and email addresses of people traveling to the U.S. so the government can follow up on some travelers to see how they are feeling. (This from a New York Times article.)