Information Reconciliation for Continuous-Variable Quantum Key Distribution using Non-Binary Low-Density Parity-Check Codes

Christoph Pacher; Jesus Martinez-Mateo; Jörg Duhme; Tobias Gehring; Fabian Furrer

Information Reconciliation for Continuous-Variable Quantum Key Distribution using Non-Binary Low-Density Parity-Check Codes

Quantum Physics 2016-03-01 v1 Information Theory math.IT

Authors: Christoph Pacher , Jesus Martinez-Mateo , Jörg Duhme , Tobias Gehring , Fabian Furrer

Abstract

An information reconciliation method for continuous-variable quantum key distribution with Gaussian modulation that is based on non-binary low-density parity-check (LDPC) codes is presented. Sets of regular and irregular LDPC codes with different code rates over the Galois fields $GF(8)$ , $GF(16)$ , $GF(32)$ , and $GF(64)$ have been constructed. We have performed simulations to analyze the efficiency and the frame error rate using the sum-product algorithm. The proposed method achieves an efficiency between $0.94$ and $0.98$ if the signal-to-noise ratio is between $4$ dB and $24$ dB.

Keywords

quantum error correction

Cite

@article{arxiv.1602.09140,
  title  = {Information Reconciliation for Continuous-Variable Quantum Key Distribution using Non-Binary Low-Density Parity-Check Codes},
  author = {Christoph Pacher and Jesus Martinez-Mateo and Jörg Duhme and Tobias Gehring and Fabian Furrer},
  journal= {arXiv preprint arXiv:1602.09140},
  year   = {2016}
}

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23 pages, 7 figures

Information Reconciliation for Continuous-Variable Quantum Key Distribution using Non-Binary Low-Density Parity-Check Codes

Abstract

Keywords

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