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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 pub-id-type="doi">10.17586/2220-8054-2015-6-1-95-99</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-936</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>CONTRIBUTED TALKS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>CONTRIBUTED TALKS</subject></subj-group></article-categories><title-group><article-title>On the possibility of using optical y-splitter in quantum random number generation systems based on fluctuations of vacuum</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>Ivanova</surname><given-names>A. E.</given-names></name></name-alternatives><bio xml:lang="en"><p>St. Petersburg,</p></bio><email xlink:type="simple">newiva@mail.ru</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>Chivilikhin</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>St. Petersburg</p></bio><email xlink:type="simple">sergey.chivilikhin@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>Popov</surname><given-names>I. Yu.</given-names></name></name-alternatives><bio xml:lang="en"><p>St. Petersburg</p></bio><email xlink:type="simple">popov1955@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>Gleim</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>St. Petersburg</p></bio><email xlink:type="simple">aglejm@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>ITMO University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2015</year></pub-date><pub-date pub-type="epub"><day>15</day><month>08</month><year>2025</year></pub-date><volume>6</volume><issue>1</issue><fpage>95</fpage><lpage>99</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ivanova A.E., Chivilikhin S.A., Popov I.Y., Gleim A.V., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Ivanova A.E., Chivilikhin S.A., Popov I.Y., Gleim A.V.</copyright-holder><copyright-holder xml:lang="en">Ivanova A.E., Chivilikhin S.A., Popov I.Y., Gleim A.V.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" 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/936">https://nanojournal.ifmo.ru/jour/article/view/936</self-uri><abstract><p>Quantum random number generation allows the obtaining of true random numbers that can be used for applications (e.g.,a cryptography) requiring a high degree of randomness. In this paper, we give a mathematical description of a quantum random number generation system using homodyne detection. As a result of the theoretical research, we obtained the description of the relationship between beam splitter input radiation and di erential current on detectors after beam splitting. We derived equations allowing one to estimate the scheme parameters imperfection impact on measurement results. We also obtained mathematical expres- sions, demonstrating the equivalence of quantum description of Y-splitter and beam splitter with two inputs, which allows the use Y-splitter for the implementation of quantum random number generation systems based on vacuum quantum uctuations.</p></abstract><kwd-group xml:lang="en"><kwd>quantum random number generation</kwd><kwd>beam splitter</kwd><kwd>Y-splitter</kwd><kwd>vacuum  uctuations.</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work was partially nancially supported by the Government of the Russian Federation (grant 074-U01), by the Ministry of Science and Education of the Russian Federation (GOSZADANIE 2014/190, Project 14.Z50.31.0031).</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">Scarani V., Bechmann-Pasquinucci H., Cerf N. 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