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High Performance Error Correction for Quantum Key Distribution using Polar Codes

Paul Jouguet, Sebastien Kunz-Jacques
Institut Telecom / Telecom ParisTech, CNRS LTCI, 46, rue Barrault, 75634 Paris Cedex 13, France and SeQureNet, 23 avenue d’Italie, 75013 Paris, France
arXiv:1204.5882v1 [quant-ph] (26 Apr 2012)

@article{2012arXiv1204.5882J,

   author={Jouguet}, P. and {Kunz-Jacques}, S.},

   title={"{High Performance Error Correction for Quantum Key Distribution using Polar Codes}"},

   journal={ArXiv e-prints},

   archivePrefix={"arXiv"},

   eprint={1204.5882},

   primaryClass={"quant-ph"},

   keywords={Quantum Physics},

   year={2012},

   month={apr},

   adsurl={http://adsabs.harvard.edu/abs/2012arXiv1204.5882J},

   adsnote={Provided by the SAO/NASA Astrophysics Data System}

}

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We study the use of polar codes for both discrete and continuous variables Quantum Key Distribution (QKD). Although very large blocks must be used to obtain the efficiency required by quantum key distribution, and especially continuous variables quantum key distribution, their implementation on generic x86 CPUs is practical. Thanks to recursive decoding, they exhibit excellent decoding speed, much higher than large, irregular Low Density Parity Check (LDPC) codes implemented on similar hardware, and competitive with implementations of the same codes on high-end Graphic Processing Units (GPUs).
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