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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">10.17586/2220-8054-2017-8-2-272-276</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-674</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>Error analysis in circuits building at the quantum computing platform IBM Quantum Experience</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"><name-alternatives><name name-style="western" xml:lang="en"><surname>Samsonov</surname><given-names>E. O.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>ITMO University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>12</day><month>08</month><year>2025</year></pub-date><volume>8</volume><issue>2</issue><fpage>272</fpage><lpage>276</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Samsonov E.O., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Samsonov E.O.</copyright-holder><copyright-holder xml:lang="en">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/674">https://nanojournal.ifmo.ru/jour/article/view/674</self-uri><abstract><p>There are many quantum computing systems, some of which are still being developed today. To develop quantum calculation systems, IBM provides access to the 5-qubit quantum computer ‘IBM Quantum Experience’. Quantum computers must deal with the loss of information due to environmental disturbances. Quantum systems cannot be completely isolated. Noise can be a cause of different errors in the quantum circuits. In this work, we observe distortions in quantum circuits and investigate the noise stability of different quantum gates. We investigate a method for calculating the quantum state of the superconducting qubit, used in ‘IBM Quantum Experience’, after an interaction with a quantum operator.</p></abstract><kwd-group xml:lang="en"><kwd>quantum computing</kwd><kwd>quantum information</kwd><kwd>IBM Quantum Experience</kwd><kwd>distortions of quantum circuits</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work was partially financially supported by the Government of the Russian Federation (grant 074U01).</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">Zurek W.H. Decoherence, einselection, and the quantum origins of the classical. Rev. Mod. Phys., 2003, 75, P. 715–775.</mixed-citation><mixed-citation xml:lang="en">Zurek W.H. Decoherence, einselection, and the quantum origins of the classical. Rev. Mod. Phys., 2003, 75, P. 715–775.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Blum K. Density matrix theory and applications. Plenum press, New York, 1981, 242 pp.</mixed-citation><mixed-citation xml:lang="en">Blum K. Density matrix theory and applications. Plenum press, New York, 1981, 242 pp.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Gardiner C. Stochastic methods for natural sciences. Springer Science, New York, 2004, 538 pp.</mixed-citation><mixed-citation xml:lang="en">Gardiner C. Stochastic methods for natural sciences. Springer Science, New York, 2004, 538 pp.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Koch J., Yu T.M., Gambetta J., Houck A. A., Schuster D. I., Majer J., Blais A., Devoret M. H., Girvin S. M., Schoelkopf R.J. Charge-insensitive qubit design derived from the Cooper pair box. Phys. Rev. A, 2007, 76, P. 042319/1–19.</mixed-citation><mixed-citation xml:lang="en">Koch J., Yu T.M., Gambetta J., Houck A. A., Schuster D. I., Majer J., Blais A., Devoret M. H., Girvin S. M., Schoelkopf R.J. Charge-insensitive qubit design derived from the Cooper pair box. Phys. Rev. A, 2007, 76, P. 042319/1–19.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Makhlin Yu. Quantum coherence in mesoscopic superconducting systems and quantum computing. Doctor dissertation, Landau Institute for Theoretical Physics, Moscow, 2004.</mixed-citation><mixed-citation xml:lang="en">Makhlin Yu. Quantum coherence in mesoscopic superconducting systems and quantum computing. Doctor dissertation, Landau Institute for Theoretical Physics, Moscow, 2004.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Yoshihara F., Harrabi K., Niskanen A.O., Nakamura Y., Tsai J.S. Decoherence of flux qubits due to 1/f flux noise. Phys. Rev., 2006, 97, P. 167001.</mixed-citation><mixed-citation xml:lang="en">Yoshihara F., Harrabi K., Niskanen A.O., Nakamura Y., Tsai J.S. Decoherence of flux qubits due to 1/f flux noise. Phys. Rev., 2006, 97, P. 167001.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Averin D.V., Ruggiero B., Silvestrini P. Macroscopic Quantum Coherence and Quantum Computing. Springer Science and Business Media, New York, 2001, 460 pp.</mixed-citation><mixed-citation xml:lang="en">Averin D.V., Ruggiero B., Silvestrini P. Macroscopic Quantum Coherence and Quantum Computing. Springer Science and Business Media, New York, 2001, 460 pp.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Nielsen M.A., Chuang I.L. Quantum Computation and Quantum Information. Cambridge University Press, Cambridge, 2001, 670 pp.</mixed-citation><mixed-citation xml:lang="en">Nielsen M.A., Chuang I.L. Quantum Computation and Quantum Information. Cambridge University Press, Cambridge, 2001, 670 pp.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Aharonov D., Kitaev A., Nisan N. Quantum circuits with mixed states. Proceedings of ‘The thirtieth annual ACM symposium on Theory of computing’. Dallas, May 24–26, ACM New York, 1998, P. 20–30.</mixed-citation><mixed-citation xml:lang="en">Aharonov D., Kitaev A., Nisan N. Quantum circuits with mixed states. Proceedings of ‘The thirtieth annual ACM symposium on Theory of computing’. Dallas, May 24–26, ACM New York, 1998, P. 20–30.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Kitaev A.Yu. Quantum computations: algorithms and error correction. Uspekhi Mat. Nauk, 1997, 52(5), P. 53–112.</mixed-citation><mixed-citation xml:lang="en">Kitaev A.Yu. Quantum computations: algorithms and error correction. Uspekhi Mat. Nauk, 1997, 52(5), P. 53–112.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Gubaidullina K.V., Chivilikhin S.A. Theoretical research of the distortion of quantum circuit in Grover’s algorithm. Journal of Physics. Conference Series, 2016, 735, P. 012074-1–012074-6.</mixed-citation><mixed-citation xml:lang="en">Gubaidullina K.V., Chivilikhin S.A. Theoretical research of the distortion of quantum circuit in Grover’s algorithm. Journal of Physics. Conference Series, 2016, 735, P. 012074-1–012074-6.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Retrieved from https://quantumexperience.ng.bluemix.net/qstage/#/community.</mixed-citation><mixed-citation xml:lang="en">Retrieved from https://quantumexperience.ng.bluemix.net/qstage/#/community.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Barenco A., Bennett C.H., Cleve R., DiVincenzo D.P., Margolus N., Shor P., Sleator T., Smolin J.A., Weinfurter H. 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., Cleve R., DiVincenzo D.P., Margolus N., Shor P., Sleator T., Smolin J.A., Weinfurter H. Elementary gates for quantum computation. Phys. Rev. A, 1995, 52, P. 3457–3467.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Makhlin Y., Shnirman A. Dephasing of Solid-State Qubits at Optimal Points. Phys. Rev., 2004, 92, P. 178301.</mixed-citation><mixed-citation xml:lang="en">Makhlin Y., Shnirman A. Dephasing of Solid-State Qubits at Optimal Points. Phys. Rev., 2004, 92, P. 178301.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Koistinen O-P., Maras E., Vehtari A., J’onsson H. Minimum energy path calculations with Gaussian process regression. Nanosystems: Physics, Chemistry, Mathematics. 2016, 7(6), P. 925–935.</mixed-citation><mixed-citation xml:lang="en">Koistinen O-P., Maras E., Vehtari A., J’onsson H. Minimum energy path calculations with Gaussian process regression. Nanosystems: Physics, Chemistry, Mathematics. 2016, 7(6), P. 925–935.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
