{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T00:55:10Z","timestamp":1778720110412,"version":"3.51.4"},"reference-count":80,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2021,1,9]],"date-time":"2021-01-09T00:00:00Z","timestamp":1610150400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-18-CE30-0013"],"award-info":[{"award-number":["ANR-18-CE30-0013"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003399","name":"Science and Technology Commission of Shanghai Municipality","doi-asserted-by":"publisher","award":["2019SHZDZX01-ZX04"],"award-info":[{"award-number":["2019SHZDZX01-ZX04"]}],"id":[{"id":"10.13039\/501100003399","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Spanish Government","award":["PGC2018-95113-B-I00"],"award-info":[{"award-number":["PGC2018-95113-B-I00"]}]},{"DOI":"10.13039\/501100003086","name":"Basque Government","doi-asserted-by":"publisher","award":["IT986-16"],"award-info":[{"award-number":["IT986-16"]}],"id":[{"id":"10.13039\/501100003086","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"NSFC","doi-asserted-by":"publisher","award":["12075145"],"award-info":[{"award-number":["12075145"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We consider fast high-fidelity quantum control by using a shortcut to adiabaticity (STA) technique and optimal control theory (OCT). Three specific examples, including expansion of cold atoms from the harmonic trap, atomic transport by moving harmonic trap, and spin dynamics in the presence of dissipation, are explicitly detailed. Using OCT as a qualitative guide, we demonstrate how STA protocols designed from inverse engineering method can approach with very high precision optimal solutions built about physical constraints, by a proper choice of the interpolation function and with a very reduced number of adjustable parameters.<\/jats:p>","DOI":"10.3390\/e23010084","type":"journal-article","created":{"date-parts":[[2021,1,10]],"date-time":"2021-01-10T19:55:56Z","timestamp":1610308556000},"page":"84","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Connection between Inverse Engineering and Optimal Control in Shortcuts to Adiabaticity"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6223-5516","authenticated-orcid":false,"given":"Qi","family":"Zhang","sequence":"first","affiliation":[{"name":"International Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, Shanghai 200444, China"},{"name":"Laboratoire Collisions, Agr\u00e9gats, R\u00e9activit\u00e9, IRSAMC, Universit\u00e9 de Toulouse, CNRS, UPS, 31000 Toulouse, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4221-4288","authenticated-orcid":false,"given":"Xi","family":"Chen","sequence":"additional","affiliation":[{"name":"International Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, Shanghai 200444, China"},{"name":"Department of Physical Chemistry, University of the Basque Country UPV\/EHU, Apartado 644, 48080 Bilbao, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"Gu\u00e9ry-Odelin","sequence":"additional","affiliation":[{"name":"Laboratoire Collisions, Agr\u00e9gats, R\u00e9activit\u00e9, IRSAMC, Universit\u00e9 de Toulouse, CNRS, UPS, 31000 Toulouse, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,1,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1016\/B978-0-12-408090-4.00002-5","article-title":"Shortcuts to adiabaticity","volume":"Volume 62","author":"Arimondo","year":"2013","journal-title":"Advances in Atomic, Molecular, and Optical Physics"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"045001","DOI":"10.1103\/RevModPhys.91.045001","article-title":"Shortcuts to adiabaticity: Concepts, methods, and applications","volume":"91","author":"Ruschhaupt","year":"2019","journal-title":"Rev. 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