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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">10.17586/2220-8054-2016-7-2-378-383</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-838</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>The use of beam and fiber splitters in quantum random number generators based on vacuum fluctuations</article-title><trans-title-group xml:lang="ru"><trans-title>The use of beam and fiber splitters in quantum random number generators based on vacuum fluctuations</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ivanova</surname><given-names>A. E.</given-names></name><name name-style="western" xml:lang="en"><surname>Ivanova</surname><given-names>A. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</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="eastern" xml:lang="ru"><surname>Chivilikhin</surname><given-names>S. A.</given-names></name><name name-style="western" xml:lang="en"><surname>Chivilikhin</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</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="eastern" xml:lang="ru"><surname>Gleim</surname><given-names>A. V.</given-names></name><name name-style="western" xml:lang="en"><surname>Gleim</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ITMO University</institution></aff><aff xml:lang="en"><institution>ITMO University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2016</year></pub-date><pub-date pub-type="epub"><day>13</day><month>08</month><year>2025</year></pub-date><volume>7</volume><issue>2</issue><issue-title>Special Issue</issue-title><fpage>378</fpage><lpage>383</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ivanova A.E., Chivilikhin S.A., Gleim A.V., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Ivanova A.E., Chivilikhin S.A., Gleim A.V.</copyright-holder><copyright-holder xml:lang="en">Ivanova A.E., Chivilikhin S.A., 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/838">https://nanojournal.ifmo.ru/jour/article/view/838</self-uri><abstract><p>Quantum random number generators based on vacuum fluctuations produce truly random numbers that can be used for applications are requiring a high degree of randomness. A beam splitter with two inputs and two outputs is normally used in these systems. In this paper, mathematical descriptions were obtained for the use of such beam splitter and fiber Y-splitter in quantum random number generation systems with homodyne detection. We derived equations which allowed us to estimate the impact of the scheme parameters’ imperfection upon measurement results. We also obtained mathematical expressions, demonstrating the equivalence of quantum descriptions for a Y-splitter and a beam splitter with two inputs.</p></abstract><trans-abstract xml:lang="ru"><p>Quantum random number generators based on vacuum fluctuations produce truly random numbers that can be used for applications are requiring a high degree of randomness. A beam splitter with two inputs and two outputs is normally used in these systems. In this paper, mathematical descriptions were obtained for the use of such beam splitter and fiber Y-splitter in quantum random number generation systems with homodyne detection. We derived equations which allowed us to estimate the impact of the scheme parameters’ imperfection upon measurement results. We also obtained mathematical expressions, demonstrating the equivalence of quantum descriptions for a Y-splitter and a beam splitter with two inputs.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>quantum random number generation</kwd><kwd>beam splitter</kwd><kwd>Y-splitter</kwd><kwd>vacuum fluctuations</kwd></kwd-group><kwd-group xml:lang="en"><kwd>quantum random number generation</kwd><kwd>beam splitter</kwd><kwd>Y-splitter</kwd><kwd>vacuum fluctuations</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">This work was partially financially supported by the Government of the Russian Federation (grant 074-U01).</funding-statement><funding-statement xml:lang="en">This work was partially financially supported by the Government of the Russian Federation (grant 074-U01).</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">Scarany V., Bechmann-Pasquinucci H., et. al. 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