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dc.contributor.authorBrown, Peter
dc.contributor.authorFawzi, Hamza
dc.contributor.authorFawzi, Omar
dc.date.accessioned2021-01-25T22:07:20Z
dc.date.available2021-01-25T22:07:20Z
dc.date.issued2021-01-25
dc.date.submitted2020-08-21
dc.identifier.issn2041-1723
dc.identifier.others41467-020-20018-1
dc.identifier.other20018
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/316655
dc.description.abstractThe rates of quantum cryptographic protocols are usually expressed in terms of a conditional entropy minimized over a certain set of quantum states. In particular, in the device-independent setting, the minimization is over all the quantum states jointly held by the adversary and the parties that are consistent with the statistics that are seen by the parties. Here, we introduce a method to approximate such entropic quantities. Applied to the setting of device-independent randomness generation and quantum key distribution, we obtain improvements on protocol rates in various settings. In particular, we find new upper bounds on the minimal global detection efficiency required to perform device-independent quantum key distribution without additional preprocessing. Furthermore, we show that our construction can be readily combined with the entropy accumulation theorem in order to establish full finite-key security proofs for these protocols.
dc.languageen
dc.publisherSpringer Science and Business Media LLC
dc.rightsAttribution 4.0 International (CC BY 4.0)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectArticle
dc.subject/639/705/258
dc.subject/639/766/483/481
dc.subjectarticle
dc.titleComputing conditional entropies for quantum correlations.
dc.typeArticle
dc.date.updated2021-01-25T22:07:19Z
prism.issueIdentifier1
prism.publicationNameNat Commun
prism.volume12
dc.identifier.doi10.17863/CAM.63768
dcterms.dateAccepted2020-11-06
rioxxterms.versionofrecord10.1038/s41467-020-20018-1
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
dc.contributor.orcidBrown, Peter [0000-0001-9593-0136]
dc.identifier.eissn2041-1723
dc.publisher.urlhttp://dx.doi.org/10.1038/s41467-020-20018-1
pubs.funder-project-idAgence Nationale de la Recherche (French National Research Agency) (ANR-18-CE47-0011)
cam.issuedOnline2021-01-25


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Attribution 4.0 International (CC BY 4.0)
Except where otherwise noted, this item's licence is described as Attribution 4.0 International (CC BY 4.0)