Fundamental limits on key rates in device-independent quantum key distribution

TitleFundamental limits on key rates in device-independent quantum key distribution
Publication TypeJournal Article
Year of Publication2020
AuthorsKaur, E, Wilde, MM, Winter, A
JournalNew Journal of Physics
Volume22
Issue2
Pagination023039
Date Publishedfeb
Abstract

In this paper, we introduce intrinsic non-locality and quantum intrinsic non-locality as quantifiers for Bell non-locality, and we prove that they satisfy certain desirable properties such as faithfulness, convexity, and monotonicity under local operations and shared randomness. We then prove that intrinsic non-locality is an upper bound on the secret-key-agreement capacity of any device-independent protocol conducted using a device characterized by a correlation p, while quantum intrinsic non-locality is an upper bound on the same capacity for a correlation arising from an underlying quantum model. We also prove that intrinsic steerability is faithful, and it is an upper bound on the secret-key-agreement capacity of any one-sided-device-independent protocol conducted using a device characterized by an assemblage . Finally, we prove that quantum intrinsic non-locality is bounded from above by intrinsic steerability.

URLhttps://doi.org/10.1088/1367-2630/ab6eaa
DOI10.1088/1367-2630/ab6eaa
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