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 task even when the honest parties do not trust their quantum devices. Moreover, we define security for the ECD task...

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Main Authors: Srijita Kundu, Ernest Y.-Z. Tan
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2023-07-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2023-07-06-1047/pdf/
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author Srijita Kundu
Ernest Y.-Z. Tan
author_facet Srijita Kundu
Ernest Y.-Z. Tan
author_sort Srijita Kundu
collection DOAJ
description 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 task even when the honest parties do not trust their quantum devices. 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.
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spelling doaj.art-d4f40fd87e6d4009b0b3ec485219f7172023-07-06T13:29:11ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-07-017104710.22331/q-2023-07-06-104710.22331/q-2023-07-06-1047Composably secure device-independent encryption with certified deletionSrijita KunduErnest Y.-Z. TanWe 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 task even when the honest parties do not trust their quantum devices. 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.https://quantum-journal.org/papers/q-2023-07-06-1047/pdf/
spellingShingle Srijita Kundu
Ernest Y.-Z. Tan
Composably secure device-independent encryption with certified deletion
Quantum
title Composably secure device-independent encryption with certified deletion
title_full Composably secure device-independent encryption with certified deletion
title_fullStr Composably secure device-independent encryption with certified deletion
title_full_unstemmed Composably secure device-independent encryption with certified deletion
title_short Composably secure device-independent encryption with certified deletion
title_sort composably secure device independent encryption with certified deletion
url https://quantum-journal.org/papers/q-2023-07-06-1047/pdf/
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AT ernestyztan composablysecuredeviceindependentencryptionwithcertifieddeletion