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Collective attacks and unconditional security in continuous variable quantum key distribution.

Frédéric Grosshans1

  • 1Max-Planck-Institut für Quantumoptik, Hans-Kopfermann-Strasse 1, D-85746 Garching, Germany.

Physical Review Letters
|February 9, 2005
PubMed
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Gaussian collective attacks offer eavesdroppers an advantage in continuous variable key distribution but do not limit protocol range. Unconditionally secure key rates are determined for realistic measurement scenarios.

Area of Science:

  • Quantum Information Science
  • Cryptography
  • Information Theory

Background:

  • Continuous variable key distribution (CVKD) protocols are vulnerable to eavesdropping.
  • Gaussian collective attacks have been overlooked in prior security analyses of CVKD.

Purpose of the Study:

  • To investigate the impact of Gaussian collective attacks on CVKD protocols.
  • To determine secret key rates under realistic experimental conditions.

Main Methods:

  • Information theoretic analysis of Gaussian collective attacks.
  • Application of the generic security proof by Christiandl et al.
  • Modeling of lossy channels and realistic measurement setups (homodyne/heterodyne).

Main Results:

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  • Gaussian collective attacks provide a finite advantage to eavesdroppers in lossy channels.
  • These attacks do not compromise the range of reverse reconciliation protocols.
  • Calculated secret key rates for both ideal and realistic measurement scenarios.

Conclusions:

  • CVKD protocols remain secure against Gaussian collective attacks within practical ranges.
  • The study provides a method for deriving unconditionally secure key rates for CVKD.