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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">10.17586/2220-8054-2019-10-6-627-631</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-757</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>Modeling of linear optical controlled-Z quantum gate with dimensional errors of passive components</article-title><trans-title-group xml:lang="ru"><trans-title>Modeling of linear optical controlled-z quantum gate with dimensional errors of passive components</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>Kiselev</surname><given-names>F. D.</given-names></name><name name-style="western" xml:lang="en"><surname>Kiselev</surname><given-names>F. D.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101; Corning, NY</p></bio><email xlink:type="simple">kiselevfd@corning.com</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>Samsonov</surname><given-names>Е. Y.</given-names></name><name name-style="western" xml:lang="en"><surname>Samsonov</surname><given-names>E. Y.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101; Corning, NY</p></bio><email xlink:type="simple">eduard.s1994@list.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>Gleim</surname><given-names>А. V.</given-names></name><name name-style="western" xml:lang="en"><surname>Gleim</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101; Corning, NY</p></bio><email xlink:type="simple">aglejm@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ITMO University; Corning Research &amp; Development Corporation</institution></aff><aff xml:lang="en"><institution>ITMO University; Corning Research &amp; Development Corporation</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>ITMO University</institution></aff><aff xml:lang="en"><institution>ITMO University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>13</day><month>08</month><year>2025</year></pub-date><volume>10</volume><issue>6</issue><fpage>627</fpage><lpage>631</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Kiselev F.D., Samsonov E.Y., Gleim A.V., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Kiselev F.D., Samsonov Е.Y., Gleim А.V.</copyright-holder><copyright-holder xml:lang="en">Kiselev F.D., Samsonov E.Y., 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/757">https://nanojournal.ifmo.ru/jour/article/view/757</self-uri><abstract><p>Linear optical quantum computing can be realized using photonic integrate circuits (PICs). It is advantageous in comparison to other physical implementations of quantum computing due to simplicity of qubit encoding using photons and low decoherence times. Passive components like beamsplitters and phaseshifters are key elements for such PICs. In this article, we present modeling of linear optical controlled-Z gate with imperfections of beamsplitters and phaseshifters taken into account. Results showed that errors occur which cannot be detected by projection measurements and post-selection proposed by Knill, Laflamme and Milburn. We studied how these errors and success probability changes with the increase of dimensional errors using Monte-Carlo simulation. The obtained results can be used for design and calibration stages of chip manufacturing.</p></abstract><trans-abstract xml:lang="ru"><p>Linear optical quantum computing can be realized using photonic integrate circuits (PICs). It is advantageous in comparison to other physical implementations of quantum computing due to simplicity of qubit encoding using photons and low decoherence times. Passive components like beamsplitters and phaseshifters are key elements for such PICs. In this article, we present modeling of linear optical controlled-Z gate with imperfections of beamsplitters and phaseshifters taken into account. Results showed that errors occur which cannot be detected by projection measurements and post-selection proposed by Knill, Laflamme and Milburn. We studied how these errors and success probability changes with the increase of dimensional errors using Monte-Carlo simulation. The obtained results can be used for design and calibration stages of chip manufacturing.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>quantum computing</kwd><kwd>linear optics</kwd></kwd-group><kwd-group xml:lang="en"><kwd>quantum computing</kwd><kwd>linear optics</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">DiVincenzo D.P. Quantum computation. Science, 1995, 270 5234), P. 255–261.</mixed-citation><mixed-citation xml:lang="en">DiVincenzo D.P. Quantum computation. Science, 1995, 270 5234), P. 255–261.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Barenco A., Bennett C.H., et al. Elementary gates for quantum computation. Phys. Rev. A, 1995, 52, P. 3457–3467</mixed-citation><mixed-citation xml:lang="en">Barenco A., Bennett C.H., et al. Elementary gates for quantum computation. 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