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Moreover, we define security for the ECD task in a composable manner and show that our ECD protocol satisfies conditions that lead to composable security. Our protocol is based on device-independent quantum key distribution (DIQKD), and in particular the parallel DIQKD protocol based on the magic square non-local game, given by Jain, Miller and Shi (2020). To achieve certified deletion, we use a property of the magic square game observed by Fu and Miller (2018), namely that a two-round variant of the game can be used to certify deletion of a single random bit. In order to achieve certified deletion security for arbitrarily long messages from this property, we prove a parallel repetition theorem for two-round non-local games, which may be of independent interest.<\/jats:p>","DOI":"10.22331\/q-2023-07-06-1047","type":"journal-article","created":{"date-parts":[[2023,7,6]],"date-time":"2023-07-06T13:29:18Z","timestamp":1688650158000},"page":"1047","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":3,"title":["Composably secure device-independent encryption with certified deletion"],"prefix":"10.22331","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8630-0113","authenticated-orcid":false,"given":"Srijita","family":"Kundu","sequence":"first","affiliation":[{"name":"Institute for Quantum Computing and Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4872-158X","authenticated-orcid":false,"given":"Ernest Y.-Z.","family":"Tan","sequence":"additional","affiliation":[{"name":"Institute for Theoretical Physics, ETH Z\u00fcrich, Switzerland."},{"name":"Institute for Quantum Computing and Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2023,7,6]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"Nati Aharon, Andr\u00e9 Chailloux, Iordanis Kerenidis, Serge Massar, Stefano Pironio, and Jonathan Silman, ``Weak coin flipping in a device-independent setting&apos;&apos; Theory of Quantum Computation, Communication, and Cryptography 1-12 (2014).","DOI":"10.1007\/978-3-642-54429-3_1"},{"key":"1","doi-asserted-by":"publisher","unstructured":"Rotem Arnon-Friedman, Fr\u00e9d\u00e9ric Dupuis, Omar Fawzi, Renato Renner, and Thomas Vidick, ``Practical device-independent quantum cryptography via entropy accumulation&apos;&apos; Nature Communications 9, 459 (2018).","DOI":"10.1038\/s41467-017-02307-4"},{"key":"2","doi-asserted-by":"publisher","unstructured":"Nati Aharon, Serge Massar, Stefano Pironio, and Jonathan Silman, ``Device-independent bit commitment based on the CHSH inequality&apos;&apos; New Journal of Physics 18, 025014 (2016).","DOI":"10.1088\/1367-2630\/18\/2\/025014"},{"key":"3","doi-asserted-by":"publisher","unstructured":"Charles H. 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