{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T15:54:55Z","timestamp":1767974095336,"version":"3.49.0"},"reference-count":106,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2022,3,12]],"date-time":"2022-03-12T00:00:00Z","timestamp":1647043200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>A witness of non-Markovianity based on the Hilbert\u2013Schmidt speed (HSS), a special type of quantum statistical speed, has been recently introduced for low-dimensional quantum systems. Such a non-Markovianity witness is particularly useful, being easily computable since no diagonalization of the system density matrix is required. We investigate the sensitivity of this HSS-based witness to detect non-Markovianity in various high-dimensional and multipartite open quantum systems with finite Hilbert spaces. We find that the time behaviors of the HSS-based witness are always in agreement with those of quantum negativity or quantum correlation measure. These results show that the HSS-based witness is a faithful identifier of the memory effects appearing in the quantum evolution of a high-dimensional system with a finite Hilbert space.<\/jats:p>","DOI":"10.3390\/e24030395","type":"journal-article","created":{"date-parts":[[2022,3,13]],"date-time":"2022-03-13T22:29:43Z","timestamp":1647210583000},"page":"395","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Memory Effects in High-Dimensional Systems Faithfully Identified by Hilbert\u2013Schmidt Speed-Based Witness"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0922-795X","authenticated-orcid":false,"given":"Kobra","family":"Mahdavipour","sequence":"first","affiliation":[{"name":"Dipartimento di Ingegneria, Universit\u00e0 di Palermo, Viale delle Scienze, 90128 Palermo, Italy"},{"name":"INRS-EMT, 1650 Boulevard Lionel-Boulet, Varennes, QC J3X 1S2, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2357-1194","authenticated-orcid":false,"given":"Mahshid","family":"Khazaei Shadfar","sequence":"additional","affiliation":[{"name":"Dipartimento di Ingegneria, Universit\u00e0 di Palermo, Viale delle Scienze, 90128 Palermo, Italy"},{"name":"INRS-EMT, 1650 Boulevard Lionel-Boulet, Varennes, QC J3X 1S2, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7208-2437","authenticated-orcid":false,"given":"Hossein","family":"Rangani Jahromi","sequence":"additional","affiliation":[{"name":"Physics Department, Faculty of Sciences, Jahrom University, Jahrom P.O. Box 74135111, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7717-1519","authenticated-orcid":false,"given":"Roberto","family":"Morandotti","sequence":"additional","affiliation":[{"name":"INRS-EMT, 1650 Boulevard Lionel-Boulet, Varennes, QC J3X 1S2, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3281-0935","authenticated-orcid":false,"given":"Rosario","family":"Lo Franco","sequence":"additional","affiliation":[{"name":"Dipartimento di Ingegneria, Universit\u00e0 di Palermo, Viale delle Scienze, 90128 Palermo, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,3,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"094001","DOI":"10.1088\/0034-4885\/77\/9\/094001","article-title":"Quantum non-Markovianity: Characterization, quantification and detection","volume":"77","author":"Rivas","year":"2014","journal-title":"Rep. 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