Parameter regimes for surpassing the PLOB bound with error-corrected qudit repeaters

Daniel Miller; Timo Holz; Hermann Kampermann; Dagmar Bruß

doi:10.22331/q-2019-12-16-216

Parameter regimes for surpassing the PLOB bound with error-corrected qudit repeaters

Daniel Miller, Timo Holz, Hermann Kampermann, and Dagmar Bruß

Institut für Theoretische Physik III, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany

Published:	2019-12-16, volume 3, page 216
Eprint:	arXiv:1906.05172v2
Doi:	https://doi.org/10.22331/q-2019-12-16-216
Citation:	Quantum 3, 216 (2019).

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Abstract

A potential quantum internet would open up the possibility of realizing numerous new applications, including provably secure communication. Since losses of photons limit long-distance, direct quantum communication and wide-spread quantum networks, quantum repeaters are needed. The so-called PLOB-repeaterless bound [Pirandola et al., Nat. Commun. 8, 15043 (2017)] is a fundamental limit on the quantum capacity of direct quantum communication. Here, we analytically derive the quantum-repeater gain for error-corrected, one-way quantum repeaters based on higher-dimensional qudits for two different physical encodings: Fock and multimode qudits. We identify parameter regimes in which such quantum repeaters can surpass the PLOB-repeaterless bound and systematically analyze how typical parameters manifest themselves in the quantum-repeater gain. This benchmarking provides a guideline for the implementation of error-corrected qudit repeaters.

► BibTeX data

@article{Miller2019parameterregimes,
  doi = {10.22331/q-2019-12-16-216},
  url = {https://doi.org/10.22331/q-2019-12-16-216},
  title = {Parameter regimes for surpassing the {PLOB} bound with error-corrected qudit repeaters},
  author = {Miller, Daniel and Holz, Timo and Kampermann, Hermann and Bru{\ss{}}, Dagmar},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {3},
  pages = {216},
  month = dec,
  year = {2019}
}

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