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A pair of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>d<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math>-dimensional quantum systems is first driven to an entangled steady state by the temperature gradient, and maximal entanglement in dimension<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>d<\/mml:mi><\/mml:math>can then be heralded via local filters. We discuss experimental prospects considering an implementation in superconducting systems.<\/jats:p>","DOI":"10.22331\/q-2018-06-13-73","type":"journal-article","created":{"date-parts":[[2018,6,13]],"date-time":"2018-06-13T13:58:32Z","timestamp":1528898312000},"page":"73","source":"Crossref","is-referenced-by-count":37,"title":["Heralded generation of maximal entanglement in any dimension via incoherent coupling to thermal baths"],"prefix":"10.22331","volume":"2","author":[{"given":"Armin","family":"Tavakoli","sequence":"first","affiliation":[{"name":"Department of Applied Physics, University of Geneva, 1211 Geneva, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7893-0177","authenticated-orcid":false,"given":"G\u00e9raldine","family":"Haack","sequence":"additional","affiliation":[{"name":"Department of Applied Physics, University of Geneva, 1211 Geneva, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1985-4623","authenticated-orcid":false,"given":"Marcus","family":"Huber","sequence":"additional","affiliation":[{"name":"Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Vienna, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nicolas","family":"Brunner","sequence":"additional","affiliation":[{"name":"Department of Applied Physics, University of Geneva, 1211 Geneva, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3859-0272","authenticated-orcid":false,"given":"Jonatan Bohr","family":"Brask","sequence":"additional","affiliation":[{"name":"Department of Applied Physics, University of Geneva, 1211 Geneva, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2018,6,13]]},"reference":[{"key":"1","doi-asserted-by":"publisher","unstructured":"M. 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