Update 2022-01-19: According to information published by the Swiss Federal Council on Wednesday (19 January), new entry rules will come into effect in Switzerland on Saturday (22 January). As of that day, vaccinated and recovered travellers will no longer have to take a pre-departure test. This still applies to unvaccinated persons and those who have not recovered from COVID-19. The requirement to undergo a second test four to seven days after arrival is scrapped, however.
Also from 22 January, the entry form will only have to be completed by individuals travelling to Switzerland by plane or on a long-distance bus.