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Published February 7, 2003 | public
Journal Article Open

Secure Quantum Key Distribution with an Uncharacterized Source

Abstract

We prove the security of the Bennett-Brassard (BB84) quantum key distribution protocol for an arbitrary source whose averaged states are basis independent, a condition that is automatically satisfied if the source is suitably designed. The proof is based on the observation that, to an adversary, the key extraction process is equivalent to a measurement in the sigma-hatx basis performed on a pure sigma-hatz-basis eigenstate. The dependence of the achievable key length on the bit error rate is the same as that established by Shor and Preskill [Phys. Rev. Lett. 85, 441 (2000)] for a perfect source, indicating that the defects in the source are efficiently detected by the protocol.

Additional Information

©2003 The American Physical Society (Received 27 August 2002; published 6 February 2003) We thank David DiVincenzo, Peter Shor, Andy Yao, and especially Daniel Gottesman and Hoi-Kwong Lo for helpful discussions. This work has been supported in part by the Department of Energy under Grant No. DE-FG03-92-ER40701, by the National Science Foundation under Grant No. EIA-0086038, and by the Caltech MURI Center for Quantum Networks under ARO Grant No. DAAD19-00-1-0374.

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