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To explicate the physical origins and implications of such corrections, we here convert an abstract framework of an autonomous quantum Crooks relation into quantum Crooks equalities for well-known coherent, squeezed and cat states. We further provide a proposal for a concrete experimental scenario to test these equalities. Our scheme consists of the autonomous evolution of a trapped ion and uses a position dependent AC Stark shift.<\/jats:p>","DOI":"10.22331\/q-2019-02-25-124","type":"journal-article","created":{"date-parts":[[2019,2,25]],"date-time":"2019-02-25T09:08:24Z","timestamp":1551085704000},"page":"124","source":"Crossref","is-referenced-by-count":27,"title":["Coherent fluctuation relations: from the abstract to the concrete"],"prefix":"10.22331","volume":"3","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6841-4507","authenticated-orcid":false,"given":"Zo\u00eb","family":"Holmes","sequence":"first","affiliation":[{"name":"Controlled Quantum Dynamics Theory Group, Imperial College London, London, SW7 2BW, United Kingdom."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3357-0504","authenticated-orcid":false,"given":"Sebastian","family":"Weidt","sequence":"additional","affiliation":[{"name":"Department of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, United Kingdom."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1201-3725","authenticated-orcid":false,"given":"David","family":"Jennings","sequence":"additional","affiliation":[{"name":"Controlled Quantum Dynamics Theory Group, Imperial College London, London, SW7 2BW, United Kingdom."},{"name":"Department of Physics, University of Oxford, Oxford, OX1 3PU, United Kingdom."},{"name":"School of Physics and Astronomy, University of Leeds, Leeds, LS2 9JT, United Kingdom."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Janet","family":"Anders","sequence":"additional","affiliation":[{"name":"CEMPS, Physics and Astronomy, University of Exeter, Exeter, EX4 4QL, United Kingdom."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8213-4368","authenticated-orcid":false,"given":"Florian","family":"Mintert","sequence":"additional","affiliation":[{"name":"Controlled Quantum Dynamics Theory Group, Imperial College London, London, SW7 2BW, United Kingdom."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2019,2,25]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"Sai Vinjanampathy and Janet Anders. 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