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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-1589</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></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="western" xml:lang="en"><surname>Gaidash</surname><given-names>Andrei Alekseevich</given-names></name></name-alternatives><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="western" xml:lang="en"><surname>Miroshnichenko</surname><given-names>George Petrovich</given-names></name></name-alternatives><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="western" xml:lang="en"><surname>Kozubov</surname><given-names>Anton Vladimirovich</given-names></name></name-alternatives><email xlink:type="simple">avkozubov@itmo.ru</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Университет ИТМО</institution></aff><aff xml:lang="en"><institution>SMARTS-Quanttelecom LLC, 199178, 59-1-B 6th line of Vasilievsky island, Saint Petersburg, Russia; ITMO University, 3b Kadetskaya Line, 199034 Saint Petersburg, Russia</institution></aff></aff-alternatives><aff xml:lang="en" id="aff-2"><institution>ITMO University, 3b Kadetskaya Line, 199034 Saint Petersburg, Russia</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-3"><institution>SMARTS-Quanttelecom LLC, 199178, 59-1-B 6th line of Vasilievsky island, Saint Petersburg, Russia; ITMO University, 3b Kadetskaya Line, 199034 Saint Petersburg, Russia</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>05</day><month>03</month><year>2026</year></pub-date><volume>17</volume><issue>1</issue><elocation-id>1589</elocation-id><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">Gaidash A.A., Miroshnichenko G.P., Kozubov A.V.</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/1589">https://nanojournal.ifmo.ru/jour/article/view/1589</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><kwd-group xml:lang="en"><kwd>Phase modulation</kwd><kwd>quantum key distribution</kwd><kwd>subcarrier wave quantum key distribution</kwd></kwd-group><funding-group><funding-statement xml:lang="en">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">Pirandola, S., Andersen, U. L., Banchi, et. al. Advances in quantum cryptography. Advances in optics and photonics, 2020, 12(4), 1012-1236.</mixed-citation><mixed-citation xml:lang="en">Pirandola, S., Andersen, U. L., Banchi, et. al. Advances in quantum cryptography. 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