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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-1283</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>YOUNG RESEARCHES SIMPOSIUM</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>YOUNG RESEARCHES SIMPOSIUM</subject></subj-group></article-categories><title-group><article-title>Investigation of quantum random number generation based   on space-time division of photons</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>Egorov</surname><given-names>V. I.</given-names></name></name-alternatives><bio xml:lang="en"><p>St. Petersburg</p></bio><email xlink:type="simple">egorovvl@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>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>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>St. Petersburg National Research University of Information Technologies, Mechanics and Optics</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2013</year></pub-date><pub-date pub-type="epub"><day>20</day><month>08</month><year>2025</year></pub-date><volume>4</volume><issue>4</issue><issue-title>Special Issue.  INTERNATIONAL CONFERENCE   "MATHEMATICAL CHALLENGE OF QUANTUM  TRANSPORT IN NANOSYSTEMS - 2013.   PIERRE DUCLOS WORKSHOP"</issue-title><fpage>550</fpage><lpage>554</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ivanova A.E., Egorov V.I., Chivilikhin S.A., Gleim A.V., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Ivanova A.E., Egorov V.I., Chivilikhin S.A., Gleim A.V.</copyright-holder><copyright-holder xml:lang="en">Ivanova A.E., Egorov V.I., 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/1283">https://nanojournal.ifmo.ru/jour/article/view/1283</self-uri><abstract><p>In this paper we investigate a quantum random number generator based on the splitting of a beam of laser emitted light. Statistics of random numbers that depend on a parameter characterizing the symmetry of the beam splitter is theoretically analyzed and simulated. Degree of deviation of the obtained distribution from the uniform random distribution is investigated on a basis of series of statistical tests.</p></abstract><kwd-group xml:lang="en"><kwd>quantum random number generation</kwd><kwd>beam splitter</kwd><kwd>random number distribution</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">T. Jennewein, U. Achleitner, et al. A fast and compact quantum random number generator. Rev. Sci. Instrum., 71 (4), P. 1675–1680 (2000).</mixed-citation><mixed-citation xml:lang="en">T. Jennewein, U. Achleitner, et al. A fast and compact quantum random number generator. Rev. Sci. 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