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Phys. Rev. Lett. 96, 070501 (2006) [4 pages]Quantum Key Distribution Based on Arbitrarily Weak Distillable Entangled States
Karol Horodecki,1 Debbie Leung,2 Hoi-Kwong Lo,3 and Jonathan Oppenheim4
1Department of Mathematics Physics and Computer Science, University of Gda  sk, 80-952 Gdask, Poland 2Institute of Quantum Information, MSC 107-81, Caltech, Pasadena, California 91125, USA 3Department of Electrical and Computer Engineering, and Department of Physics, University of Toronto, Toronto, Ontario M5S 3G4, Canada 4Department of Applied Mathematics and Theoretical Physics, University of Cambridge, United Kingdom
Received 11 October 2005; published 21 February 2006
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. ©2006 The American Physical Society
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