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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">10.17586/2220-8054-2021-12-2-156-160</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-353</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>Quantum random number generator using vacuum fluctuations</article-title><trans-title-group xml:lang="ru"><trans-title>Квантовый генератор случайных чисел на основе вакуумных флуктуаций</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>Первушин</surname><given-names>Борис Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Pervushin</surname><given-names>B. 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">borispervushin@itmo.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>Фадеев</surname><given-names>Максим А.</given-names></name><name name-style="western" xml:lang="en"><surname>Fadeev</surname><given-names>M. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101,</p><p>6 liniya, Vasilievsky island d.59, korp. 1, lit. B, St. Petersburg, 199178</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101,</p><p>6 liniya, Vasilievsky island d.59, korp. 1, lit. B, St. Petersburg, 199178</p></bio><email xlink:type="simple">wertsam@itmo.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Зиновьев</surname><given-names>Александр В.</given-names></name><name name-style="western" xml:lang="en"><surname>Zinovev</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><p> </p></bio><email xlink:type="simple">avzinovev15@yandex.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>Гончаров</surname><given-names>Роман К.</given-names></name><name name-style="western" xml:lang="en"><surname>Goncharov</surname><given-names>R. K.</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">rkgoncharov@itmo.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>Сантьев</surname><given-names>Алексей А.</given-names></name><name name-style="western" xml:lang="en"><surname>Santev</surname><given-names>A. 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">aasantev@itmo.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>Иванова</surname><given-names>Алена Е.</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><p>6 liniya, Vasilievsky island d.59, korp. 1, lit. B, St. Petersburg, 199178</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101,</p><p>6 liniya, Vasilievsky island d.59, korp. 1, lit. B, St. Petersburg, 199178</p></bio><email xlink:type="simple">aeivanova@itmo.ru</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Самсонов</surname><given-names>Эдуард О.</given-names></name><name name-style="western" xml:lang="en"><surname>Samsonov</surname><given-names>E. O.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101,</p><p>6 liniya, Vasilievsky island d.59, korp. 1, lit. B, St. Petersburg, 199178</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101,</p><p>6 liniya, Vasilievsky island d.59, korp. 1, lit. B, St. Petersburg, 199178</p></bio><email xlink:type="simple">eosamsonov@itmo.ru</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ITMO University, Kronverkskiy</institution></aff><aff xml:lang="en"><institution>ITMO University, Kronverkskiy</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>ITMO University, Kronverkskiy;&#13;
Quanttelecom LLC</institution></aff><aff xml:lang="en"><institution>ITMO University, Kronverkskiy; Quanttelecom LLC</institution></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>ITMO University, Kronverkskiy;&#13;
Quanttelecom LLC</institution></aff><aff xml:lang="en"><institution>ITMO University, Kronverkskiy;&#13;
Quanttelecom LLC</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>28</day><month>07</month><year>2025</year></pub-date><volume>12</volume><issue>2</issue><fpage>156</fpage><lpage>160</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Pervushin B.E., Fadeev M.A., Zinovev A.V., Goncharov R.K., Santev A.A., Ivanova A.E., Samsonov E.O., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Первушин Б.Е., Фадеев М.А., Зиновьев А.В., Гончаров Р.К., Сантьев А.А., Иванова А.Е., Самсонов Э.О.</copyright-holder><copyright-holder xml:lang="en">Pervushin B.E., Fadeev M.A., Zinovev A.V., Goncharov R.K., Santev A.A., Ivanova A.E., Samsonov E.O.</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/353">https://nanojournal.ifmo.ru/jour/article/view/353</self-uri><abstract><p>Experimental implementation of a quantum random number generator based on vacuum fluctuation is presented in this paper. A Y-splitter is used in optical setup of the quantum random number generator. The generation of random numbers in real time with a speed of 300 Mb/s is demonstrated. The conditional minimum entropy is used to estimate the randomness. A cryptographic hashing function is used for post-processing. The resulting sequence has passed DieHard and NIST statistical tests successfully.</p></abstract><trans-abstract xml:lang="ru"><p>В работе представлена экспериментальная реализация квантового генератора случайных чисел на основе вакуумных флуктуаций. В оптической схеме используется Y-делитель. Продемонстрирована генерация случайных чисел в реальном времени со скоростью 300 Мбит/с. Условная min-энтропия используется для оценки случайности. Криптографическая хеш-функция используется для постобработки. Полученная последовательность успешно прошла статистические тесты DieHard и NIST. </p></trans-abstract><kwd-group xml:lang="ru"><kwd>квантовая генерация случайных чисел</kwd><kwd>гомодинное детектирование</kwd><kwd>вакуумные флуктуации</kwd></kwd-group><kwd-group xml:lang="en"><kwd>quantum random number generation</kwd><kwd>homodyne detection</kwd><kwd>vacuum fluctuation</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">This work was funded by Government of Russian Federation (grant MK-777.2020.8)</funding-statement><funding-statement xml:lang="en">This work was funded by Government of Russian Federation (grant MK-777.2020.8)</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">Ferrenberg A.M., Landau D.P., et. al. Monte Carlo simulations: Hidden errors from “good” random number generators. 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