Quantum key distribution based on private states: Unconditional security over untrusted channels with zero quantum capacity

Karol Horodecki; Michał Horodecki; Paweł Horodecki; Debbie Leung; Jonathan Oppenheim

doi:10.1109/tit.2008.921870

Quantum key distribution based on private states: Unconditional security over untrusted channels with zero quantum capacity

Abstract

In this paper, we prove unconditional security for a quantum key distribution (QKD) protocol based on distilling pbits (twisted ebits) from an arbitrary untrusted state that is claimed to contain distillable key. Our main result is that we can verify security using only public communication-via parameter estimation of the given untrusted state. The technique applies even to bound-entangled states, thus extending QKD to the regime where the available quantum channel has zero quantum capacity. We also show how to convert our purification-based QKD schemes to prepare/measure schemes.

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Category:: Articles
Type:: artykuł w czasopiśmie z listy filadelfijskiej
Published in:: IEEE TRANSACTIONS ON INFORMATION THEORY no. 54, pages 2604 - 2620,
ISSN: 0018-9448
Language:: English
Publication year:: 2008
Bibliographic description:: Horodecki K., Horodecki M., Horodecki P., Leung D., Oppenheim J.: Quantum key distribution based on private states: Unconditional security over untrusted channels with zero quantum capacity// IEEE TRANSACTIONS ON INFORMATION THEORY. -Vol. 54., (2008), s.2604-2620
DOI:: Digital Object Identifier (open in new tab) 10.1109/tit.2008.921870
Verified by:: Gdańsk University of Technology