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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">10.17586/2220-8054-2026-17-1-39-45</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-1685</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>Pulsed phase modulation with harmonic electric control signal for quantum key distribution implementations</article-title><trans-title-group xml:lang="ru"><trans-title>Импульсная фазовая модуляция с гармоническим электрическим управляющим сигналом для реализаций квантового распределения ключей</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9870-9285</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гайдаш</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Gaidash</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>Andrei A. Gaidash</p><p>199178, 59-1-B6th line of Vasilievsky island, Saint Petersburg</p><p>3b Kadetskaya Line, 199034, Saint Petersburg</p></bio><email xlink:type="simple">andrewdgk@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4265-8818</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мирошниченко</surname><given-names>Г. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Miroshnichenko</surname><given-names>G. P.</given-names></name></name-alternatives><bio xml:lang="en"><p>George P. Miroshnichenko</p><p>3b Kadetskaya Line, 199034 Saint Petersburg</p></bio><email xlink:type="simple">gpmirosh@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4468-5406</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Козубов</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Kozubov</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Anton V.Kozubov</p><p>199178,59-1-B 6th line of Vasilievsky island, Saint Petersburg</p><p>3b Kadetskaya Line, 199034 Saint Petersburg</p></bio><email xlink:type="simple">avkozubov@itmo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>SMARTS-Quanttelecom LLC; ITMO University</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-2"><institution>ITMO University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>04</day><month>03</month><year>2026</year></pub-date><volume>17</volume><issue>1</issue><fpage>39</fpage><lpage>45</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Gaidash A.A., Miroshnichenko G.P., Kozubov A.V., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Гайдаш А.А., Мирошниченко Г.П., Козубов А.В.</copyright-holder><copyright-holder xml:lang="en">Gaidash A.A., Miroshnichenko G.P., Kozubov 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/1685">https://nanojournal.ifmo.ru/jour/article/view/1685</self-uri><abstract><p>In this work, we investigate an alternative approach to phase modulation for information encoding and decoding in quantum key distribution systems. Specifically, we propose pulsed phase modulation, i.e. it has an envelope in addition to previously considered only harmonic temporal behavior of modulation index (depth), as a replacement for the conventional use of both intensity and phase modulators, which enables a more compact and cost-effective optical design. We further analyze how the principal parameters of this scheme affect the interference observed at the receiver and, consequently, their contribution to the quantum bit error rate in a subcarrier-wave quantum key distribution implementation.</p></abstract><trans-abstract xml:lang="ru"><p>В данной работе мы исследуем альтернативный подход к фазовой модуляции для кодирования и декодирования информации в системах квантового распределения ключей. В частности, мы предлагаем импульсную фазовую модуляцию, то есть модуляцию с временной огибающей в дополнение к ранее рассматриваемому только гармоническому временному поведению индекса модуляции (глубины модуляции), в качестве замены традиционного использования как модуляторов интенсивности, так и фазовых модуляторов, что позволяет создать более компактную и экономичную оптическую схему. Мы также анализируем, как основные неидеальности этой схемы влияют на помехи, наблюдаемые на приемной стороне, и, следовательно, на их вклад в уровень ошибок при реализации квантового распределения ключей на основе боковых частот фазомодулированного излучения.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>фазовая модуляция</kwd><kwd>квантовое распределение ключа</kwd><kwd>квантовое распределение ключа на боковых частотах фазомодулированного излучения</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Phase modulation</kwd><kwd>quantum key distribution</kwd><kwd>subcarrier wave quantum key 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">Pirandola S., Andersen U.L., Banchi et al. Advances in quantum cryptography. 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