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By calculating the exact reduced system dynamics, we show how this coupling enhances the system&apos;s adiabaticity solely through a coherent mechanism \u2013 an effective energy rescaling. We show that it can lead to an annealing speedup linearly proportional to the strength of the coupling. We discuss the experimental feasibility of the protocols, and investigate the trade-off between fidelity and implementability by examining two modified versions with fewer types of required physical couplings.<\/jats:p>","DOI":"10.22331\/q-2025-05-05-1731","type":"journal-article","created":{"date-parts":[[2025,5,5]],"date-time":"2025-05-05T11:56:22Z","timestamp":1746446182000},"page":"1731","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":4,"title":["Speeding up Quantum Annealing with Engineered Dephasing"],"prefix":"10.22331","volume":"9","author":[{"given":"Mykolas","family":"Sveistrys","sequence":"first","affiliation":[{"name":"Fachbereich Physik and Dahlem Center for Complex Quantum Systems, Freie Universit\u00e4t Berlin, Arnimallee 14, 14195 Berlin, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Josias","family":"Langbehn","sequence":"additional","affiliation":[{"name":"Fachbereich Physik and Dahlem Center for Complex Quantum Systems, Freie Universit\u00e4t Berlin, Arnimallee 14, 14195 Berlin, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rapha\u00ebl","family":"Menu","sequence":"additional","affiliation":[{"name":"Theoretische Physik, Universit\u00e4t des Saarlandes, D-66123 Saarbr\u00fccken, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Steve","family":"Campbell","sequence":"additional","affiliation":[{"name":"School of Physics, University College Dublin, Belfield, Dublin 4, Ireland"},{"name":"Centre for Quantum Engineering, Science, and Technology, University College Dublin, Dublin 4, Ireland"},{"name":"Fachbereich Physik and Dahlem Center for Complex Quantum Systems, Freie Universit\u00e4t Berlin, Arnimallee 14, 14195 Berlin, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Giovanna","family":"Morigi","sequence":"additional","affiliation":[{"name":"Theoretische Physik, Universit\u00e4t des Saarlandes, D-66123 Saarbr\u00fccken, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christiane P.","family":"Koch","sequence":"additional","affiliation":[{"name":"Fachbereich Physik and Dahlem Center for Complex Quantum Systems, Freie Universit\u00e4t Berlin, Arnimallee 14, 14195 Berlin, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"9598","published-online":{"date-parts":[[2025,5,5]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"E. 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