Collective attacks and unconditional security in continuous variable quantum key distribution

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

2004-07-19

arxiv.org/abs/quant-ph/0407148v2

Physics

Quantum Physics

Minor orthographic and grammatical corrections

Scientific paper

10.1103/PhysRevLett.94.020504

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. [quant-ph/0402131] to obtain unconditionally secure rates for these protocols.

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