corner
corner

Phys. Rev. Lett. 96, 070501 (2006) [4 pages]

Quantum Key Distribution Based on Arbitrarily Weak Distillable Entangled States

Download: PDF (120 kB) Buy this article Export: BibTeX or EndNote (RIS)

Karol Horodecki1, Debbie Leung2, Hoi-Kwong Lo3, and Jonathan Oppenheim4
1Department of Mathematics Physics and Computer Science, University of Gdańsk, 80-952 Gdańsk, 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

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.96.070501
DOI:
10.1103/PhysRevLett.96.070501
PACS:
03.67.Dd, 03.67.Mn