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Numerical approach for unstructured quantum key distribution

Author

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  • Patrick J. Coles

    (Institute for Quantum Computing, University of Waterloo)

  • Eric M. Metodiev

    (Institute for Quantum Computing, University of Waterloo)

  • Norbert Lütkenhaus

    (Institute for Quantum Computing, University of Waterloo)

Abstract

Quantum key distribution (QKD) allows for communication with security guaranteed by quantum theory. The main theoretical problem in QKD is to calculate the secret key rate for a given protocol. Analytical formulas are known for protocols with symmetries, since symmetry simplifies the analysis. However, experimental imperfections break symmetries, hence the effect of imperfections on key rates is difficult to estimate. Furthermore, it is an interesting question whether (intentionally) asymmetric protocols could outperform symmetric ones. Here we develop a robust numerical approach for calculating the key rate for arbitrary discrete-variable QKD protocols. Ultimately this will allow researchers to study ‘unstructured’ protocols, that is, those that lack symmetry. Our approach relies on transforming the key rate calculation to the dual optimization problem, which markedly reduces the number of parameters and hence the calculation time. We illustrate our method by investigating some unstructured protocols for which the key rate was previously unknown.

Suggested Citation

  • Patrick J. Coles & Eric M. Metodiev & Norbert Lütkenhaus, 2016. "Numerical approach for unstructured quantum key distribution," Nature Communications, Nature, vol. 7(1), pages 1-9, September.
    • Handle: RePEc:nat:natcom:v:7:y:2016:i:1:d:10.1038_ncomms11712
    DOI: 10.1038/ncomms11712
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    Cited by:

    1. Tony Metger & Renato Renner, 2023. "Security of quantum key distribution from generalised entropy accumulation," Nature Communications, Nature, vol. 14(1), pages 1-13, December.

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