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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">10.17586/2220-8054-2023-14-3-342-348</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-311</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>Measurement-device-independent continuous variable quantum key distribution protocol operation in optical transport networks</article-title><trans-title-group xml:lang="ru"><trans-title>Работа протокола квантового распределения ключей на непрерывных переменных, не зависящего от измерительных устройств, в оптических транспортных сетях</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9861-0816</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Воронцова</surname><given-names>И. О.</given-names></name><name name-style="western" xml:lang="en"><surname>Vorontsova</surname><given-names>I.</given-names></name></name-alternatives><bio xml:lang="en"><p>Irina Vorontsova</p><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><email xlink:type="simple">iovorontsova@itmo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9081-8900</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гончаров</surname><given-names>Р. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Goncharov</surname><given-names>R.</given-names></name></name-alternatives><bio xml:lang="en"><p>Roman Goncharov</p><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"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8698-1804</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кынев</surname><given-names>С. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Kynev</surname><given-names>S.</given-names></name></name-alternatives><bio xml:lang="en"><p>Sergey Kynev</p><p>Kronverkskiy, 49, St. Petersburg, 197101</p><p>6th Vasilyevskogo Ostrova Line, 59, St. Petersburg, 199178</p></bio><email xlink:type="simple">sergey.kynev@itmo.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3894-511X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Киселёв</surname><given-names>Ф. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Kiselev</surname><given-names>F.</given-names></name></name-alternatives><bio xml:lang="en"><p>Fedor Kiselev</p><p>Kronverkskiy, 49, St. Petersburg, 197101</p><p>6th Vasilyevskogo Ostrova Line, 59, St. Petersburg, 199178</p></bio><email xlink:type="simple">fdkiselev@itmo.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0767-0261</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Егоров</surname><given-names>В. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Egorov</surname><given-names>V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Vladimir Egorov</p><p>Kronverkskiy, 49, St. Petersburg, 197101</p><p>6th Vasilyevskogo Ostrova Line, 59, St. Petersburg, 199178</p></bio><email xlink:type="simple">viegorov@itmo.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>ITMO University</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-2"><institution>ITMO University; SMARTS-Quanttelecom LLC</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>30</day><month>06</month><year>2025</year></pub-date><volume>14</volume><issue>3</issue><fpage>342</fpage><lpage>348</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Vorontsova I., Goncharov R., Kynev S., Kiselev F., Egorov V., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Воронцова И.О., Гончаров Р.К., Кынев С.М., Киселёв Ф.Д., Егоров В.И.</copyright-holder><copyright-holder xml:lang="en">Vorontsova I., Goncharov R., Kynev S., Kiselev F., Egorov 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/311">https://nanojournal.ifmo.ru/jour/article/view/311</self-uri><abstract><p>Numerically, a theoretical analysis of the noise impact caused by spontaneous Raman scattering, four-wave mixing, and linear channel crosstalk on the measurement-device-independent continuous variable quantum key distribution systems is conducted. The analysis considers symmetry and asymmetry of system paths, as well as possible channel allocation schemes, for a quantum channel located in C- and O-bans. Mathematical models for MDI CV-QKD system and the contributing noises’ description are provided. The secure key generation rate is estimated to state features of protocol operation when integrated with existing DWDM systems in the context of its implementation into telecommunication networks.</p></abstract><trans-abstract xml:lang="ru"><p>Проведен численный анализ влияния шумов, вызванных спонтанным комбинационным рассеянием, четырехволновым смешением и линейными перекрестными помехами каналов, на независящие от измерительных устройств (MDI) системы квантового распределения ключей (КРК) на непрерывных переменных (НП). Анализ учитывает симметричность и асимметричность плеч системы, а также возможные схемы распределения каналов для квантового канала, расположенного в C- и O-диапазонах. Приведены математические модели для системы MDI КРКНП и описание указанных шумов. Оценивается скорость генерации секретного ключа с учетом особенностей работы протокола при интеграции с существующими системами DWDM в контексте последующей реализации в телекоммуникационных сетях.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>независимость от устройств</kwd><kwd>квантовое распределение ключа</kwd><kwd>непрерывные переменные</kwd></kwd-group><kwd-group xml:lang="en"><kwd>device-independence</kwd><kwd>quantum key distribution</kwd><kwd>continuous variables</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The work was done by Leading Research Center “National Center for Quantum Internet” of ITMO University by the order of JSCo Russian Railways.</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., J Cerf N., Duˇsek M., L¨utkenhaus N., Peev M. 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