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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.<\/jats:p>","DOI":"10.22331\/q-2019-12-16-216","type":"journal-article","created":{"date-parts":[[2019,12,16]],"date-time":"2019-12-16T13:59:30Z","timestamp":1576504770000},"page":"216","source":"Crossref","is-referenced-by-count":6,"title":["Parameter regimes for surpassing the PLOB bound with error-corrected qudit repeaters"],"prefix":"10.22331","volume":"3","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2100-5612","authenticated-orcid":false,"given":"Daniel","family":"Miller","sequence":"first","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik III, Heinrich-Heine-Universit\u00e4t D\u00fcsseldorf, D-40225 D\u00fcsseldorf, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Timo","family":"Holz","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik III, Heinrich-Heine-Universit\u00e4t D\u00fcsseldorf, D-40225 D\u00fcsseldorf, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0659-6699","authenticated-orcid":false,"given":"Hermann","family":"Kampermann","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik III, Heinrich-Heine-Universit\u00e4t D\u00fcsseldorf, D-40225 D\u00fcsseldorf, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dagmar","family":"Bru\u00df","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik III, Heinrich-Heine-Universit\u00e4t D\u00fcsseldorf, D-40225 D\u00fcsseldorf, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2019,12,16]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"M. 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