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Qatar's entry and quarantine policy can found here.
Currently, entry from a Green list country is possible for travellers who are not vaccinated or who have not completed the necessary vaccination doses, but there is a mandatory hotel quarantine at a designated hotel for 7 days along with mandatory PCR tests before and after arrival. If you have a pre-issued family visa as a first-degree relative, you may be allowed to quarantine at home if certain conditions are met.