CollectiveAttacks and Unconditional Security in Continuous Variable Quantum KeyDistribution

Frédéric Grosshans
Phys. Rev. Lett. 94, 020504 – Published 21 January 2005

Abstract

We present here an information theoretic study of Gaussian collective attacks on the continuous variable key distribution protocols based on Gaussian modulation of coherent states. These attacks, overlooked in previous security studies, give a finite advantage to the eavesdropper in the experimentally relevant lossy channel, but are not powerful enough to reduce the range of the reverse reconciliation protocols. Secret key rates are given for the ideal case where Bob performs optimal collective measurements, as well as for the realistic cases where he performs homodyne or heterodyne measurements. We also apply the generic security proof of Christiandl et al. to obtain unconditionally secure rates for these protocols.

  • Received 27 July 2004

DOI:https://doi.org/10.1103/PhysRevLett.94.020504

Authors & Affiliations

Frédéric Grosshans*

  • Max-Planck-Institutfür Quantumoptik, Hans-Kopfermann-Strasse 1, D-85746 Garching,Germany

  • *Electronic address: frederic.grosshans@m4x.org

See Also

SecurityBounds for Continuous Variables Quantum Key Distribution

Miguel Navascués and Antonio Acín
Phys. Rev. Lett. 94, 020505 (2005)

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Vol. 94, Iss. 2 — 21 January 2005

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