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Recently, the notion of non-coherence-generating-and-detecting (NCGD) dynamics has been introduced and related to the classicality of the statistics associated with sequential measurements at different times. However, in order for a dynamics to be NCGD, its propagators need to satisfy a given set of conditions for<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>a<\/mml:mi><mml:mi>l<\/mml:mi><mml:mi>l<\/mml:mi><\/mml:math>triples of consecutive times. We reduce this to a finite set of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>d<\/mml:mi><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>d<\/mml:mi><mml:mo>\u2212<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math>conditions, where<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>d<\/mml:mi><\/mml:math>is the dimension of the quantum system, provided that the generator is time-independent. Further conditions are derived for the more general time-dependent case. The application of this result to the case of a qubit dynamics allows us to elucidate which kind of noise gives rise to non-coherence-generation-and-detection.<\/jats:p>","DOI":"10.22331\/q-2020-04-02-249","type":"journal-article","created":{"date-parts":[[2020,4,2]],"date-time":"2020-04-02T14:26:57Z","timestamp":1585837617000},"page":"249","source":"Crossref","is-referenced-by-count":16,"title":["Accessible coherence in open quantum system dynamics"],"prefix":"10.22331","volume":"4","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4175-4090","authenticated-orcid":false,"given":"Mar\u00eda Garc\u00eda","family":"D\u00edaz","sequence":"first","affiliation":[{"name":"F\u00edsica Te\u00f2rica: Informaci\u00f3 i Fen\u00f2mens Qu\u00e0ntics, Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra (Barcelona), Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2083-7820","authenticated-orcid":false,"given":"Benjamin","family":"Desef","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics and IQST, Universit\u00e4t Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8972-2936","authenticated-orcid":false,"given":"Matteo","family":"Rosati","sequence":"additional","affiliation":[{"name":"F\u00edsica Te\u00f2rica: Informaci\u00f3 i Fen\u00f2mens Qu\u00e0ntics, Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra (Barcelona), Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7874-0258","authenticated-orcid":false,"given":"Dario","family":"Egloff","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics and IQST, Universit\u00e4t Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany"},{"name":"Institute of Theoretical Physics, Technical University Dresden, D-01062 Dresden, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1735-1360","authenticated-orcid":false,"given":"John","family":"Calsamiglia","sequence":"additional","affiliation":[{"name":"F\u00edsica Te\u00f2rica: Informaci\u00f3 i Fen\u00f2mens Qu\u00e0ntics, Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra (Barcelona), Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4698-9304","authenticated-orcid":false,"given":"Andrea","family":"Smirne","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics and IQST, Universit\u00e4t Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany"},{"name":"Dipartimento di Fisica Aldo Pontremoli, Universit\u00e0 degli Studi di Milano, via Celoria 16, 20133 Milan, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6935-7460","authenticated-orcid":false,"given":"Michaelis","family":"Skotiniotis","sequence":"additional","affiliation":[{"name":"F\u00edsica Te\u00f2rica: Informaci\u00f3 i Fen\u00f2mens Qu\u00e0ntics, Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra (Barcelona), Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1277-8154","authenticated-orcid":false,"given":"Susana F.","family":"Huelga","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics and IQST, Universit\u00e4t Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"9598","published-online":{"date-parts":[[2020,4,2]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"T. 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