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Quantum Key Distribution Based on Arbitrarily Weak Distillable Entangled States

Horodecki, Karol and Leung, Debbie and Lo, Hoi-Kwong and Oppenheim, Jonathan (2006) Quantum Key Distribution Based on Arbitrarily Weak Distillable Entangled States. Physical Review Letters, 96 (7). Art. No. 070501. ISSN 0031-9007. doi:10.1103/PhysRevLett.96.070501.

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States with private correlations but little or no distillable entanglement were recently reported. Here, we consider the secure distribution of such states, i.e., the situation when an adversary gives two parties such states and they have to verify privacy. We present a protocol which enables the parties to extract from such untrusted states an arbitrarily long and secure key, even though the amount of distillable entanglement of the untrusted states can be arbitrarily small.

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Oppenheim, Jonathan0000-0002-8993-412X
Additional Information:©2006 The American Physical Society (Received 11 October 2005; published 21 February 2006) The authors thank Michael Ben-Or, Eli Biham, Hoi-Kwong Lo, Dominic Mayers, and Tal Mor for explanations of and informative discussions about their security proofs. We also thank Ike Chuang, Daniel Gottesman, Alexei Kitaev, and Michael Nielsen for their discussions and suggestions, which greatly improved this paper. Part of this research was done while P.W. S. was visiting Caltech. This work has been supported in part by the Department of Energy under Grant No. DE-FG03-92-ER40701, and by DARPA through Caltech’s Quantum Information and Computation (QUIC) project administered by the Army Research Office.
Subject Keywords:quantum entanglement
Issue or Number:7
Record Number:CaltechAUTHORS:HORprl06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2744
Deposited By: Archive Administrator
Deposited On:25 Apr 2006
Last Modified:08 Nov 2021 19:50

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