Passengers who are fully vaccinated in the EU with vaccines authorised by the European Medicines Agency (EMA) or in the USA with vaccines authorised by the Food and Drug Administration (FDA), or in the Swiss vaccination programme, will be able to travel to England without having to quarantine or take a day 8 test on arrival,"

Well, since none of the Injections HAVE been approved by any agency (only Emergency Use Only status, NOT FDA approved, etc) no one is exempt by Quarantine in UK. Sucks being them.