Device-independent quantum key distribution based on measurement inputs

Ramij Rahaman; Matthew Parker; Piotr Andrzej Mironowicz; Marcin Pawłowski

doi:10.1103/physreva.92.062304

Device-independent quantum key distribution based on measurement inputs

Abstract

We provide an analysis of a family of device-independent quantum key distribution (QKD) protocols that has the following features. (a) The bits used for the secret key do not come from the results of the measurements on an entangled state but from the choices of settings. (b) Instead of a single security parameter (a violation of some Bell inequality) a set of them is used to estimate the level of trust in the secrecy of the key. The main advantage of these protocols is a smaller vulnerability to imperfect random number generators made possible by feature (a). We prove the security and the robustness of such protocols. We show that using our method it is possible to construct a QKD protocol which retains its security even if the source of randomness used by communicating parties is strongly biased. As a proof of principle, an explicit example of a protocol based on the Hardy's paradox is presented. Moreover, in the noiseless case, the protocol is secure in a natural way against any type of memory attack, and thus allows one to reuse the device in subsequent rounds. We also analyze the robustness of the protocol using semidefinite programming methods. Finally, we present a postprocessing method, and observe a paradoxical property that rejecting some random part of the private data can increase the key rate of the protocol.

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Authors (4)

Ramij Rahaman
- University of Allahaba Department of Mathematic
Matthew Parker
- Department of Informatics University of Bergen
Piotr Andrzej Mironowicz dr inż.
Marcin Pawłowski
- Wydział Matematyki, Fizyki i Informatyki University of Gdańsk

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Publication version: Accepted or Published Version
DOI:: Digital Object Identifier (open in new tab) 10.1103/PhysRevA.92.062304
License: Copyright (2015 American Physical Society)

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: PHYSICAL REVIEW A no. 92, edition 6, pages 1 - 9,
ISSN: 2469-9926
Language:: English
Publication year:: 2015
Bibliographic description:: Rahaman R., Parker M., Mironowicz P., Pawłowski M.: Device-independent quantum key distribution based on measurement inputs// PHYSICAL REVIEW A. -Vol. 92, iss. 6 (2015), s.1-9
DOI:: Digital Object Identifier (open in new tab) 10.1103/physreva.92.062304
Verified by:: Gdańsk University of Technology