For your visit to Greece and Santorini you will need to have all the necessary documentation.
For citizens of the European Union a passport or identity is required.
Travelers from America, Australia, Canada, Israel, Japan and New Zealand can travel to Greece with their passport and stay in the country up to three months without requiring a visa.
TIP: The list and the required documents are constantly changing, so it would be good to contact Greek embassies or consulates in your country before your visit in Greece and EU.