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Finite-key analysis of high-dimensional time–energy entanglement-based quantum key distribution

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Abstract

We present a security analysis against collective attacks for a time–energy entanglement-based quantum key distribution protocol, given the practical constraints of single-photon detector efficiency, channel loss, and finite-key considerations. We find a positive secure-key capacity when the key length increases beyond \(10^{4}\) for eight-dimensional systems. The minimum key length required is reduced by the ability to post-select on coincident single-photon detection events. Including finite-key effects, we show the ability to establish a shared secret key over a 200 km fiber link.

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Authors and Affiliations

  1. Research Laboratory of Electronics, Masschusetts Institute of Technology, Cambridge, MA, 02139, USA

    Catherine Lee, Jacob Mower, Zheshen Zhang, Jeffrey H. Shapiro & Dirk Englund

  2. Department of Physics, Columbia University, New York, NY, 10027, USA

    Catherine Lee

Authors
  1. Catherine Lee
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  2. Jacob Mower
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  3. Zheshen Zhang
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  4. Jeffrey H. Shapiro
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  5. Dirk Englund
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Corresponding author

Correspondence to Catherine Lee.

Additional information

This work was supported by the DARPA Information in a Photon program, through Grant W911NF-10-1-0416 from the Army Research Office, and the Columbia Optics and Quantum Electronics IGERT under NSF Grant DGE-1069420.

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Lee, C., Mower, J., Zhang, Z. et al. Finite-key analysis of high-dimensional time–energy entanglement-based quantum key distribution. Quantum Inf Process 14, 1005–1015 (2015). https://doi.org/10.1007/s11128-014-0904-x

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  • DOI: https://doi.org/10.1007/s11128-014-0904-x

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