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Multiple strategies have been proposed to approach and optimize such protocols, most however restricted to Clifford operations. In this paper, we introduce a superposed entanglement purification design strategy, leveraging coherent superpositions of the roles of entangled states to enhance purification efficiency, defining a new family of non-Clifford distillation protocols. We demonstrate how this approach can be hierarchically integrated with existing entanglement purification strategies, consistently improving protocols performance.<\/jats:p>","DOI":"10.22331\/q-2025-04-09-1702","type":"journal-article","created":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T14:33:21Z","timestamp":1744209201000},"page":"1702","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":3,"title":["Improving entanglement purification through coherent superposition of roles"],"prefix":"10.22331","volume":"9","author":[{"given":"Jorge","family":"Miguel-Ramiro","sequence":"first","affiliation":[{"name":"Universit\u00e4t Innsbruck, Institut f\u00fcr Theoretische Physik, Technikerstra\u00dfe 21a, 6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander","family":"Pirker","sequence":"additional","affiliation":[{"name":"Universit\u00e4t Innsbruck, Institut f\u00fcr Theoretische Physik, Technikerstra\u00dfe 21a, 6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wolfgang","family":"D\u00fcr","sequence":"additional","affiliation":[{"name":"Universit\u00e4t Innsbruck, Institut f\u00fcr Theoretische Physik, Technikerstra\u00dfe 21a, 6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2025,4,9]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"A. 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