Composably secure device-independent encryption with certified deletion

We study the task of encryption with certified deletion (ECD) introduced by Broadbent and Islam (2020), but in a device-independent setting: we show that it is possible to achieve this even when honest parties do not trust their quantum devices. Moreover, define security for ECD composable manner our protocol satisfies conditions lead security. Our based on key distribution (DIQKD), particular parallel DIQKD magic square non-local game, given Jain, Miller Shi (2020). To deletion, use property game observed Fu (2018), namely two-round variant can be used certify single random bit. In order arbitrarily long messages from property, prove repetition theorem games, which may independent interest.