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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">najo-1093</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Reduced conditional dynamic of quantum system under indirect quantum measurement</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Trifanov</surname><given-names>A. I.</given-names></name></name-alternatives><bio xml:lang="en"><p>197101, 49 Kronverksky, Saint Petersburg</p></bio><email xlink:type="simple">alextrifanov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Miroshnichenko</surname><given-names>G. P.</given-names></name></name-alternatives><bio xml:lang="en"><p>197101, 49 Kronverksky, Saint Petersburg</p></bio><email xlink:type="simple">gpmirosh@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="en">Saint Petersburg National Research University of Information Technologies, Mechanics and Optics<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2013</year></pub-date><pub-date pub-type="epub"><day>17</day><month>08</month><year>2025</year></pub-date><volume>4</volume><issue>5</issue><elocation-id>635–647</elocation-id><permissions><copyright-statement>Copyright &amp;#x00A9; Trifanov A.I., Miroshnichenko G.P., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Trifanov A.I., Miroshnichenko G.P.</copyright-holder><copyright-holder xml:lang="en">Trifanov A.I., Miroshnichenko G.P.</copyright-holder><license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/1093">https://nanojournal.ifmo.ru/jour/article/view/1093</self-uri><abstract><p>In this report, we study the reduced conditional dynamics of a quantum system in the case of indirect quantum measurement. The detector’s microscopic part (pointer) interacts with the measured system (target) and the environment, which results in a nonunitary interaction between target and pointer. The quantum state evolution conditioned by the measurement result is under investigation. Particularly, we are interested in explicit analytical expressions for the conditional evolution superoperators and basic information characteristics of this measurement process, which is applied to the cavity mode photodetection problem.</p></abstract><kwd-group xml:lang="en"><kwd>indirect quantum measurements</kwd><kwd>conditional evolution</kwd><kwd>photodetection problem</kwd><kwd>rotating wave approximation</kwd><kwd>quantum entropy</kwd></kwd-group><funding-group xml:lang="en"><funding-statement>The work was supported by FTP “Scientific and Educational Human Resources for InnovationDriven Russia” (contract 16.740.11.0030, grant 20121.2.2120001001047), grant 110800267 of RFBR and by FTP “Researches and Development in the Priority Directions Developments of a Scientific and Technological Complex of Russia 20072013” (contract 07.514.11.4146).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">M.A. Nielsen, I.L. 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