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Letters to Nature

Nature 421, 238-241 (16 January 2003) | doi:10.1038/nature01289; Received 8 July 2002; Accepted 30 October 2002

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Quantum key distribution using gaussian-modulated coherent states

Frédéric Grosshans1, Gilles Van Assche2, Jérôme Wenger1, Rosa Brouri1, Nicolas J. Cerf2 & Philippe Grangier1

  1. Laboratoire Charles Fabry de l'Institut d'Optique, CNRS UMR 8501, 91403 Orsay, France
  2. Ecole Polytechnique, CP 165, Université Libre de Bruxelles, 1050 Bruxelles, Belgium

Correspondence to: Philippe Grangier1 Correspondence and requests for materials should be addressed to P.G. (e-mail: Email: philippe.grangier@iota.u-psud.fr).

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Quantum continuous variables1 are being explored2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 as an alternative means to implement quantum key distribution, which is usually based on single photon counting15. The former approach is potentially advantageous because it should enable higher key distribution rates. Here we propose and experimentally demonstrate a quantum key distribution protocol based on the transmission of gaussian-modulated coherent states (consisting of laser pulses containing a few hundred photons) and shot-noise-limited homodyne detection; squeezed or entangled beams are not required13. Complete secret key extraction is achieved using a reverse reconciliation14 technique followed by privacy amplification. The reverse reconciliation technique is in principle secure for any value of the line transmission, against gaussian individual attacks based on entanglement and quantum memories. Our table-top experiment yields a net key transmission rate of about 1.7 megabits per second for a loss-free line, and 75 kilobits per second for a line with losses of 3.1 dB. We anticipate that the scheme should remain effective for lines with higher losses, particularly because the present limitations are essentially technical, so that significant margin for improvement is available on both the hardware and software.

  1. Laboratoire Charles Fabry de l'Institut d'Optique, CNRS UMR 8501, 91403 Orsay, France
  2. Ecole Polytechnique, CP 165, Université Libre de Bruxelles, 1050 Bruxelles, Belgium

Correspondence to: Philippe Grangier1 Correspondence and requests for materials should be addressed to P.G. (e-mail: Email: philippe.grangier@iota.u-psud.fr).