<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">mireabulletin</journal-id><journal-title-group><journal-title xml:lang="ru">Russian Technological Journal</journal-title><trans-title-group xml:lang="en"><trans-title>Russian Technological Journal</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2782-3210</issn><issn pub-type="epub">2500-316X</issn><publisher><publisher-name>RTU MIREA</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32362/2500-316X-2019-7-1-5-37</article-id><article-id custom-type="elpub" pub-id-type="custom">mireabulletin-138</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="ru"><subject>ИНФОРМАЦИОННЫЕ СИСТЕМЫ. ИНФОРМАТИКА. ПРОБЛЕМЫ ИНФОРМАЦИОННОЙ БЕЗОПАСНОСТИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>INFORMATION SYSTEMS. COMPUTER SCIENCES. ISSUES OF INFORMATION SECURITY</subject></subj-group></article-categories><title-group><article-title>КВАНТОВАЯ ИНФОРМАТИКА: ОБЗОР ОСНОВНЫХ ДОСТИЖЕНИЙ</article-title><trans-title-group xml:lang="en"><trans-title>QUANTUM INFORMATICS: OVERVIEW OF THE MAIN ACHIEVEMENTS</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>Сигов</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Sigov</surname><given-names>A.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.ru</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>Андрианова</surname><given-names>Е. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Andrianova</surname><given-names>E.</given-names></name></name-alternatives><email xlink:type="simple">andrianova@mirea.ru</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>Жуков</surname><given-names>Д. О.</given-names></name><name name-style="western" xml:lang="en"><surname>Zhukov</surname><given-names>D.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.ru</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>Зыков</surname><given-names>С. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Zykov</surname><given-names>S.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.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>Тарасов</surname><given-names>И. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Tarasov</surname><given-names>I. E.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">МИРЭА - Российский технологический университет<country>Россия</country></aff><aff xml:lang="en">MIREA - Russian University of Technology<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">НИУ «Высшая школа экономики»<country>Россия</country></aff><aff xml:lang="en">National Research Univeresity "Higher School of Economics"<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>28</day><month>02</month><year>2019</year></pub-date><volume>7</volume><issue>1</issue><fpage>5</fpage><lpage>37</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Сигов А.С., Андрианова Е.Г., Жуков Д.О., Зыков С.В., Тарасов И.Е., 2019</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="ru">Сигов А.С., Андрианова Е.Г., Жуков Д.О., Зыков С.В., Тарасов И.Е.</copyright-holder><copyright-holder xml:lang="en">Sigov A., Andrianova E., Zhukov D., Zykov S., Tarasov I.E.</copyright-holder><license 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://www.rtj-mirea.ru/jour/article/view/138">https://www.rtj-mirea.ru/jour/article/view/138</self-uri><abstract><p>Обоснована актуальность проведения и выделены перспективные направления научных исследований в области квантовой информатики. По иностранным и российским публикациям и материалам сделан обзор основных научных результатов, характеризующих современное состояние исследований в квантовой информатике. Отмечено, что наиболее интенсивно знания и средства инвестируются в разработку архитектуры квантового компьютера и его элементов. Несмотря на то, что сегодня нет информации о создании физической реализации квантового компьютера, сравнимого по функциональным возможностям с классическим цифровым вычислителем, разработка квантовых алгоритмов является одним из актуальных направлений исследований. Преимущество квантовых алгоритмов заключается в снижении времени решения задачи за счет распараллеливания операций путем генерирования запутанных квантовых состояний и их последующего использования. Указанное преимущество (квантовое ускорение) является наиболее выигрышным при решении задачи моделирования динамики сложных систем и переборных математических задач (общий случай перебора - схема Гровера и ее варианты; задачи поиска скрытых периодов - схема Шора использования быстрого квантового преобразования Фурье и ее аналоги). Отмечена востребованность разработок в области кибербезопасности (поиск уязвимостей в умных пространствах, безопасное хранение и использование больших данных, квантовая криптография). Представлено более десятка статей, посвященных квантовым алгоритмам поиска ключей, распределению ключей на оптическом волокне различной длины, анализу квантовых ресурсов, необходимых для проведения кибератаки. В области искусственного квантового интеллекта внимание уделяется, в первую очередь, «поискам» модели квантовой нейронной сети, оптимальной с точки зрения использования всех преимуществ, представляемых квантовыми вычислениями и нейронными сетями, а также алгоритмам машинного обучения. Приведены примеры использования квантовых вычислений в когнитивных и социальных науках для исследования механизма принятия решений при неполных данных. Сделан вывод о перспективности применения квантовой информатики при моделировании сложных естественных и искусственных явлений и процессов.</p></abstract><trans-abstract xml:lang="en"><p>The urgency of conducting research in the field of quantum informatics is grounded. Promising areas of research are highlighted. For foreign and Russian publications and materials, a review of the main scientific results that characterize the current state of research in quantum computer science is made. It is noted that knowledge and funds are invested most intensively in the development of the architecture of a quantum computer and its elements. Despite the fact that today there is no information on the creation of a physical implementation of a quantum computer comparable in functionality to a classical digital computer, the development of quantum algorithms is one of the popular areas of research. An advantage of quantum algorithms is the fact that they reduce the time required to solve the problem due to the parallelization of operations by generating entangled quantum states and their subsequent use. This advantage (quantum acceleration) is most important when solving the problem of modeling the dynamics of complex systems and enumerated mathematical problems. (The general case of enumeration is the Grover scheme and its variants; the tasks of searching for hidden periods: Shor's scheme of using the fast quantum Fourier transform and its analogues.) The demand for cybersecurity developments (search for vulnerabilities in smart spaces, secure storage and use of big data, quantum cryptography) is noted. More than a dozen articles are devoted to quantum algorithms of key search, key distribution on optical fibers of various lengths, and the analysis of quantum resources necessary for conducting a cyber attack. In the field of artificial quantum intelligence, attention is paid, first of all, to the “search” for a model of a quantum neural network that is optimal from the point of view of using all the advantages presented by quantum computing and neural networks, as well as machine learning algorithms. Examples of the use of quantum computing in cognitive and social sciences for studying the decision-making mechanism with incomplete data are given. It is concluded that quantum informatics is promising for the simulation of complex natural and artificial phenomena and processes.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>квантовая информатика</kwd><kwd>квантовый компьютер</kwd><kwd>квантовые алгоритмы</kwd><kwd>моделирование сложных явлений и процессов</kwd><kwd>нейронные сети</kwd><kwd>машинное обучение</kwd><kwd>криптография</kwd><kwd>когнитивные технологии</kwd></kwd-group><kwd-group xml:lang="en"><kwd>quantum computer science</kwd><kwd>quantum computer</kwd><kwd>quantum algorithms</kwd><kwd>modeling of complex phenomena and processes</kwd><kwd>neural networks</kwd><kwd>machine learning</kwd><kwd>cryptography</kwd><kwd>cognitive technologies</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">Доклад экспертной группы Digital McKinsey «Цифровая Россия: новая реальность». 2017. 122 с. URL: http://www.mckinsey.com/global-locations/europe-andmiddleeast/russia/ru/our-work/mckinsey-digital (Дата обращения 15.01.2019).</mixed-citation><mixed-citation xml:lang="en">The report of the Digital McKinsey expert group “Digital Russia: a new reality”. 2017. 122 p. URL: http://www.mckinsey.com/global-locations/europe-andmiddleeast/russia/ru/ourwork/mckinsey-digital (Access date 01/15/2019). (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Программа «Цифровая экономика Российской Федерации», утвержденная Распоряжением № 1632-р Правительства Российской Федерации от 28 июля 2017 г.</mixed-citation><mixed-citation xml:lang="en">The program “Digital economy of the Russian Federation”, approved by Decree No. 1632-p of the Government of the Russian Federation of July 28, 2017. (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Программа «О Стратегии развития информационного общества в Российской Федерации на 2017-2030 годы», утвержденная Указом Президента Российской Федерации от 9 мая 2017 г. № 203.</mixed-citation><mixed-citation xml:lang="en">The program “On the strategy for the information society development in the Russian Federation for 2017-2030”, approved by the Decree of the President of the Russian Federation dated May 9, 2017. No. 203. (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Mohseni M., Read P., Neven H., Boixo S., Denchev V., Babbush R., Fowler A., Smelyanskiy V., Martinis J. Commercialize quantum technologies in five years // Nature. 2017. V. 543. Iss. 7644. P. 171-174. DOI: 10.1038/543171a</mixed-citation><mixed-citation xml:lang="en">Mohseni M., Read P., Neven H., Boixo S., Denchev V., Babbush R., Fowler A., Smelyanskiy V., Martinis J. Commercialize quantum technologies in five years. Nature. 2017; 543(7644): 171-174. DOI: 10.1038/543171a</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Гренштейн С. Новое исследование Ассоциации полупроводниковой промышленности: «Через 5 лет закон Мура перестанет действовать». URL: https://habr.com/post/307158/</mixed-citation><mixed-citation xml:lang="en">Grenshtein S. A new study by the Association of the semiconductor industry: "After 5 years, Moore's law will cease to operate". URL: https://habr.com/post/307158/ (Access date 01/15/2019) (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Levchaev P.A. The digital economy as the future of our lives // Russian Journal of Management. 2017. V. 5. № 4. P. 515-523. URL: https://doi.org/10.29039/article_5a5df35550f2d6.65514969</mixed-citation><mixed-citation xml:lang="en">Levchaev P.A. The digital economy as the future of our lives. Russian Journal of Management. 2017; 5(4): 515-523. URL: https://doi.org/10.29039/article_5a5df35550f2d6.65514969</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Карасев С. Глава Intel: об отношениях с Apple, законе Мура, новых устройствах и материалах // Электронное СМИ «3ДНьюс». URL: https://3dnews.ru/about (Дата обращения 15.01.2019).</mixed-citation><mixed-citation xml:lang="en">Karasev S. Head of Intel: On relations with Apple, Moore's law, new devices and materials. Electronic media "3DNews". URL: https://3dnews.ru/about (Access date 01/15/2019). (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Humble T. Consumer applications of quantum computing: A promising approach for secure computation, trusted data storage, and efficient applications // IEEE Consumer Electronics Magazine. 2018. V. 7. Iss. 6. P. 8-14. DOI:10.1109/MCE.2017.2755298</mixed-citation><mixed-citation xml:lang="en">Humble T. Consumer applications of quantum computing: A promising approach for secure computation, trusted data storage, and efficient applications. IEEE Consumer Electronics Magazine. 2018; 7(6): 8-14. DOI: 10.1109/MCE.2017.2755298</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Кулик С.Д., Берков А.В., Яковлев В.П. Введение в теорию квантовых вычислений (методы квантовой механики в кибернетике): уч. пособие в 2-х кн. Книга 1. М.: МИФИ, 2008. 212 с.</mixed-citation><mixed-citation xml:lang="en">Kulik S.D., Berkov A.V., Yakovlev V.P. Introduction to the theory of quantum computation (methods of quantum mechanics in cybernetics): in 2 books. Book 1. Moscow: MEPhI Publ., 2008. 212 p. (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Квантовые вычисления для любопытных. URL: https://cloudcoin.ru/quantum-computing (Дата обращения 15.01.2019).</mixed-citation><mixed-citation xml:lang="en">Quantum computing for the curious. URL: https://cloudcoin.ru/quantum-computing (Access date 01/15/2019). (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Квантовый компьютер и квантовая связь. URL: http://www.tadviser.ru/index.php (Дата обращения 15.01.2019).</mixed-citation><mixed-citation xml:lang="en">Quantum computer and quantum communication. URL: http://www.tadviser.ru/index.php (Access date 01/15/2019). (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Фонд перспективных исследований. URL: https://fpi.gov.ru/press/media/jekspert_mnogokubitniy_kvantoviy_kompyyuter_mozhno_sozdaty_v_rossii_za_god (Дата обращения 15.01.2019).</mixed-citation><mixed-citation xml:lang="en">Foundation for Advanced Studies. URL: https://fpi.gov.ru/press/media/jekspert_mnogokubitniy_kvantoviy_kompyyuter_mozhno_sozdaty_v_rossii_za_god (Access date 01/15/2019). (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Debnath S., Linke N.M., Figgatt C., Landsman K.A., Wrigh, K., Monroe C. Demonstration of a small programmable quantum computer with atomic qubits // Nature. 2016. V. 536. Iss. 7614. P. 63-66. DOI: 10.1038/nature18648</mixed-citation><mixed-citation xml:lang="en">Debnath S., Linke N.M., Figgatt C., Landsman K.A., Wright K., Monroe C. Demonstration of a small programmable quantum computer with atomic qubits. Nature. 2016; 536(7614): 63-66. DOI: 10.1038/nature18648</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Linke N.M., Maslov D., Roetteler M., Debnath S., Figgatt C., Landsma, K.A., Wright K., Monroe C. Experimental comparison of two quantum computing architectures // Proc. Natl. Acad. Sci. U.S.A. 2017. V. 114. Iss. 13. P. 3305-3310. DOI: 10.1073/pnas.1618020114</mixed-citation><mixed-citation xml:lang="en">Linke N.M., Maslov D., Roetteler M., Debnath S., Figgatt C., Landsman K.A., Wright K., Monroe C. Experimental comparison of two quantum computing architectures. Proc. Natl. Acad. Sci. U.S.A. 2017; 114(13): 3305-3310. DOI: 10.1073/pnas.1618020114</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Britt K.A., Humble T.S. High-performance computing with quantum processing units // ACM Journal. Emerging Technologies in Computing Systems. 2017. V. 13. Iss. 3. Article No. 39. DOI: 10.1145/3007651</mixed-citation><mixed-citation xml:lang="en">Britt K.A., Humble T.S. High-performance computing with quantum processing units. ACM Journal on Emerging Technologies in Computing Systems. 2017; 13(3): Article No. 39. DOI: 10.1145/3007651</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Сапаев Д., Булычков Д. Квантовые вычисления против классических: зачем нам столько цифр. URL: https://habr.com/company/sberbank/blog/343308/ (Дата обращения 15.01.2019).</mixed-citation><mixed-citation xml:lang="en">Sapaev D., Bulychkov D. Quantum computing versus classical: Why do we need so many digits. URL: https://habr.com/company/sberbank/blog/343308/ (Access date 01/15/2019). (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Сапаев Д., Булычков Д. Квантовые вычисления: отжиг с выключателями и прочее веселье. URL: https://habr.com/company/sberbank/blog/344830/ (Дата обращения 15.01.2019).</mixed-citation><mixed-citation xml:lang="en">Sapaev D., Bulychkov D. Quantum calculations: Annealing with switches and other fun. URL: https://habr.com/company/sberbank/blog/344830/ (Access date 01/15/2019) (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Список квантовых алгоритмов. URL: https://math.nist.gov/quantum/zoo/ (Дата обращения 15.01.2019).</mixed-citation><mixed-citation xml:lang="en">List of quantum algorithms. URL: https://math.nist.gov/quantum/zoo/ (Access date 01/15/2019). (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Dumas J.P., Soni K., Rasool A. An introduction to quantum search algorithm and its implementation // In: Balas V., Sharma N., Chakrabarti A. (eds) Data Management, Analytics and Innovation // Advances in Intelligent Systems and Computing. 2019. V. 808. P. 19-31. Springer, Singapore. DOI: 10.1007/978-981-13-1402-5_2</mixed-citation><mixed-citation xml:lang="en">Dumas J.P., Soni K., Rasool A. An introduction to quantum search algorithm and its implementation. In: Balas V., Sharma N., Chakrabarti A. (eds) Data Management, Analytics and Innovation. Advances in Intelligent Systems and Computing. 2019; 808: 19-31. Springer, Singapore. DOI: 10.1007/978-981-13-1402-5_2</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Wang G. Quantum algorithm for linear regression // Phys. Rev. A. 2017. V. 96. Iss. 1. Article No. 012335. DOI: 10.1103/PhysRevA.96.012335</mixed-citation><mixed-citation xml:lang="en">Wang G. Quantum algorithm for linear regression. Phys. Rev. A. 2017; 96(1): Article No. 012335. DOI: 10.1103/PhysRevA.96.012335</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Kliuchnikov V., Maslov D., Mosc, M. Practical approximation of single-qubit unitaries by single-qubit quantum Clifford and T circuits // IEEE Trans. Comp. 2016. V. 65. Iss. 1. P. 161-172. Article No. 7056491. DOI: 10.1109/TC.2015.2409842</mixed-citation><mixed-citation xml:lang="en">Kliuchnikov V., Maslov D., Mosca M. Practical approximation of single-qubit unitaries by single-qubit quantum Clifford and T circuits. IEEE Trans. Comp. 2016; 65(1): 161-172. Article No. 7056491. DOI: 10.1109/TC.2015.2409842</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Selinger P. Efficient Clifford+T approximation of single-qubit operators // Quantum Information and Computation. 2014. V. 15. Iss. 1-2. P. 159-180.</mixed-citation><mixed-citation xml:lang="en">Selinger P. Efficient Clifford+T approximation of single-qubit operators. Quantum Information and Computation. 2014; 15(1-2): 159-180.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Bocharov A., Roetteler M., Svore K.M. Efficient synthesis of probabilistic quantum circuits with fallback // Phys. Rev. A. Atomic, Molecular, and Optical Physics. 2015. V. 91. Iss. 5. Article No. 052317. DOI: 10.1103/PhysRevA.91.052317</mixed-citation><mixed-citation xml:lang="en">Bocharov,A., Roetteler M., Svore K.M. Efficient synthesis of probabilistic quantum circuits with fallback. Phys. Rev. A. Atomic, Molecular, and Optical Physics. 2015; 91(5): Article No. 052317. DOI: 10.1103/PhysRevA.91.052317</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Palsson M.S., Gu M., Ho J., Wiseman H.M., Pryde G.J. Experimentally modeling stochastic processes with less memory by the use of a quantum processor // Science Advances. 2017. V. 3. Iss. 2. Article No. e1601302. DOI: 10.1126/sciadv.1601302</mixed-citation><mixed-citation xml:lang="en">Palsson M.S., Gu, M., Ho J., Wiseman H.M., Pryde G.J. Experimentally modeling stochastic processes with less memory by the use of a quantum processor. Science Advances. 2017; 3(2): Article No. e1601302. DOI: 10.1126/sciadv.1601302</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Столяров А. Квантовые вычисления и умные пространства могут изменить рынок СХД. URL: http://safe.cnews.ru/news/top/2018-11-14_kvantovye_vychisleniya_i_umnye_prostranstva_mogut (Дата обращения 15.01.2019).</mixed-citation><mixed-citation xml:lang="en">Stolyarov A. Quantum computing and smart spaces can change the storage market. URL: http://safe.cnews.ru/news/top/2018-11-14_kvantovye_vychisleniya_i_umnye_prostranstva_mogut (Access date 01/15/2019). (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Fitzsimons J.F., Kashefi E. Unconditionally verifiable blind quantum computation // Phys. Rev. A. 2017. V. 96. Iss. 1. Article No. 012303. DOI: 10.1103/PhysRevA.96.012303</mixed-citation><mixed-citation xml:lang="en">Fitzsimons J.F., Kashefi E. Unconditionally verifiable blind quantum computation. Phys. Rev. A. 2017; 96(1): Article No. 012303. DOI: 10.1103/PhysRevA.96.012303</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Roetteler M., Svore K.M. Quantum computing: Codebreaking and beyond // IEEE Security and Privacy. 2018. V. 16. Iss. 5. P. 22-36. Article No. 8490171. DOI: 10.1109/MSP.2018.3761710</mixed-citation><mixed-citation xml:lang="en">Roetteler M., Svore K.M. Quantum computing: Codebreaking and beyond. IEEE Security and Privacy. 2018; 16(5): 22-36. Article No. 8490171. DOI: 10.1109/MSP.2018.3761710</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Pirandola S., Ottavian, C., Spedalieri G., Weedbroo C., Braunstein S.L, Lloy S., Gehring T., Jacobsen C.S., Andersen U.L. High-rate measurement-device-independent quantum cryptography // Nature Photonics. 2015. V. 9. Iss. 6. P. 397-402. DOI: 10.1038/nphoton.2015.83</mixed-citation><mixed-citation xml:lang="en">Pirandola S., Ottaviani C., Spedalieri G., Weedbrook C., Braunstein S.L, Lloyd S., Gehring T., Jacobsen C.S., Andersen U.L. High-rate measurement-device-independent quantum cryptography. Nature Photonics. 2015; 9(6): 397-402. DOI: 10.1038/nphoton.2015.83</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Grassl M., Langenberg B., Roetteler M., Steinwandt R. Applying Grover’s algorithm to AES: Quantum resource estimates // Lecture Notes in Computer Science. 2016. V. 9606. P. 29-43. 7th Int. Workshop on Post-Quantum Cryptography, PQ Crypto 2016; Fukuoka; Japan; February 24-26, 2016; code 164489. DOI: 10.1007/978-3-319-29360-8_3</mixed-citation><mixed-citation xml:lang="en">Grassl M., Langenberg B., Roetteler M., Steinwandt R. Applying Grover’s algorithm to AES: Quantum resource estimates. Lecture Notes in Computer Science. 2016; 9606: 29-43. 7th Int. Workshop on Post-Quantum Cryptography, PQ Crypto 2016; Fukuoka; Japan; February 24-26, 2016; code 164489. DOI: 10.1007/978-3-319-29360-8_3</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Roetteler M., Steinwandt R. A note on quantum related-key attacks // Information Processing Lett. 2015. V. 115. Iss. 1. P. 40-44. DOI: 10.1016/j.ipl.2014.08.009</mixed-citation><mixed-citation xml:lang="en">Roetteler M., Steinwandt R. A note on quantum related-key attacks. Information Processing Lett. 2015; 115(1): 40-44. DOI: 10.1016/j.ipl.2014.08.009</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Walenta N., Burg A., Caselunghe D., Constantin J., Gisin N., Guinnard O., Houlmann R., Junod P., Korzh B., Kulesza N., Legré M., Lim C.W., Lunghi T., Monat L., Portmann C., Soucarros M., Thew R.T., Trinkler P., Trolliet G., Vannel F., Zbinden H. A fast and versatile quantum key distribution system with hardware key distillation and wavelength multiplexing // New Journal of Physics. 2014. V. 16. Article No. 013047. DOI: 10.1088/1367-2630/16/1/013047</mixed-citation><mixed-citation xml:lang="en">Walenta N., Burg, A., Caselunghe D., Constantin J., Gisin N., Guinnard O., Houlmann R., Junod, P., Korzh B., Kulesz, N., Legré M., Lim C.W., Lunghi T., Monat L., Portmann C., Soucarros M., Thew R.T., Trinkler P., Trolliet G., Vannel F., Zbinden H. A fast and versatile quantum key distribution system with hardware key distillation and wavelength multiplexing. New Journal of Physics. 2014; 16: Article No. 013047. DOI: 10.1088/1367-2630/16/1/013047</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Shibata H., Honjo T., Shimizu K. Quantum key distribution over a 72 dB channel loss using ultralow dark count superconducting single-photon detectors // Optics Lett. 2014. V. 39. Iss. 17. P. 5078-5081. DOI: 10.1364/OL.39.005078</mixed-citation><mixed-citation xml:lang="en">Shibata H., Honjo T., Shimizu K. Quantum key distribution over a 72 dB channel loss using ultralow dark count superconducting single-photon detectors. Optics Lett. 2014; 39(17): 5078-5081. DOI: 10.1364/OL.39.005078</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Xu F., Xu H., Lo H.-K. Protocol choice and parameter optimization in decoy-state measurement-device-independent quantum key distribution // Phys. Rev. A. Atomic, Molecular, and Optical Physics. 2014. V. 89. Iss. 5. Article No. 052333. DOI: 10.1103/PhysRevA.89.052333</mixed-citation><mixed-citation xml:lang="en">Xu F., Xu H., Lo H.-K. Protocol choice and parameter optimization in decoy-state measurement-device-independent quantum key distribution. Phys. Rev. A. Atomic, Molecular, and Optical Physics. 2014; 89(5): Article No. 052333. DOI: 10.1103/PhysRevA.89.052333</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Curty M., Xu F., Cui W., Lim C.C.W., Tamaki K., Lo H.-K. Finite-key analysis for measurement-device-independent quantum key distribution // Nature Commun. 2014. V. 5. Article No. 3732. DOI: 10.1038/ncomms4732</mixed-citation><mixed-citation xml:lang="en">Curty M., Xu F., Cui W., Lim C.C.W., Tamaki K., Lo H.-K. Finite-key analysis for measurement-device-independent quantum key distribution. Nature Commun. 2014; 5: Article No. 3732. DOI: 10.1038/ncomms4732</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Tang Z., Liao Z., Xu F., Qi B., Qian L., Lo H.-K. Experimental demonstration of polarization encoding measurement-device-independent quantum key distribution // Phys. Rev. Lett. 2014. V. 112. Iss. 19. Article No. 190503. DOI: 10.1103/PhysRevLett.112.190503</mixed-citation><mixed-citation xml:lang="en">Tang Z., Liao Z., Xu F., Qi B., Qian L., Lo H.-K. Experimental demonstration of polarization encoding measurement-device-independent quantum key distribution. Phys. Rev. Lett. 2014; 112(19): Article No. 190503. DOI: 10.1103/PhysRevLett.112.190503</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Yu Z.-W., Zhou Y.-H., Wang X.-B. Statistical fluctuation analysis for measurementdevice-independent quantum key distribution with three-intensity decoy-state method // Phys. Rev. A. Atomic, Molecular, and Optical Physics. 2015. V. 91. Iss. 3. Article No. 032318. DOI: 10.1103/PhysRevA.91.032318</mixed-citation><mixed-citation xml:lang="en">Yu Z.-W., Zhou Y.-H., Wang X.-B. Statistical fluctuation analysis for measurementdevice-independent quantum key distribution with three-intensity decoy-state method. Phys. Rev. A. Atomic, Molecular, and Optical Physics. 2015; 91(3): Article No. 032318. DOI: 10.1103/ PhysRevA.91.032318</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Wang C., Song X.-T., Yin Z.-Q., Wang S., Chen W., Zhang C.-M., Guo G.-C., Han Z.-F. Phase-reference-free experiment of measurement-device-independent quantum key distribution // Phys. Rev. Lett. 2015. V. 115. Iss. 16. Article No. 160502. DOI: 10.1103/PhysRevLett.115.160502</mixed-citation><mixed-citation xml:lang="en">Wang C., Song X.-T., Yin Z.-Q., Wang S., Chen W., Zhang C.-M., Guo G.-C., Han Z.-F. Phase-reference-free experiment of measurement-device-independent quantum key distribution. Phys. Rev. Lett. 2015; 115(16): Article No. 160502. DOI: 10.1103/PhysRevLett.115.160502</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">Comandar L.C., Lucamarini M., Fröhlich B., Dynes J.F., Sharpe A.W., Tam S.W.-B., Yuan Z.L., Penty R.V., Shields A.J. Quantum key distribution without detector vulnerabilities using optically seeded lasers // Nature Photonics. 2016. V. 10. Iss. 5. P. 312-315. DOI: 10.1038/nphoton.2016.50</mixed-citation><mixed-citation xml:lang="en">Comandar L.C., Lucamarini M., Fröhlich B., Dynes J.F., Sharpe A.W., Tam S.W.-B., Yuan Z.L., Penty R.V., Shields A.J. Quantum key distribution without detector vulnerabilities using optically seeded lasers. Nature Photonics. 2016; 10(5): 312-315. DOI: 10.1038/ nphoton.2016.50</mixed-citation></citation-alternatives></ref><ref id="cit39"><label>39</label><citation-alternatives><mixed-citation xml:lang="ru">Yin H.-L., Chen T.-Y., Yu Z.-W., Liu H., You L.-X., Zhou Y.-H., Chen S.-J., Mao Y., Huang M.-Q., Zhang W.-J., Chen H., Li M.J., Nolan D., Zhou F., Jiang X., Wang Z., Zhang Q., Wang X.-B., Pan J.-W. Measurement-device-independent quantum key distribution over a 404 km optical fiber // Phys. Rev. Lett. 2016. V. 117. Iss. 19. Article No. 190501. DOI: 10.1103/PhysRevLett.117.190501</mixed-citation><mixed-citation xml:lang="en">Yin H.-L., Chen T.-Y., Yu Z.-W., Liu H., You L.-X., Zhou Y.-H., Chen S.-J., Mao Y., Huang M.-Q., Zhang W.-J., Chen H., Li M.J., Nolan D., Zhou, F., Jiang X., Wang Z., Zhang Q., Wan X.-B., Pan J.-W. Measurement-device-independent quantum key distribution over a 404 km optical fiber. Phys. Rev. Lett. 2016; 117(19): Article No. 190501. DOI: 10.1103/PhysRevLett.117.190501</mixed-citation></citation-alternatives></ref><ref id="cit40"><label>40</label><citation-alternatives><mixed-citation xml:lang="ru">Chen D., Wei L., YaLiang C., Qing P., Lei S. Reference-frame-independent measurementdevice-independent quantum key distribution using hybrid logical basis // Quantum Information Processing. 2018. V. 17. Iss. 10. Article No. 256. DOI: 10.1007/s11128-018-2030-7</mixed-citation><mixed-citation xml:lang="en">Chen D., Wei L., YaLiang C., Qing P., Lei S. Reference-frame-independent measurementdevice-independent quantum key distribution using hybrid logical basis. Quantum Information Processing. 2018; 17(10): Article No. 256. DOI: 10.1007/s11128-018-2030-7</mixed-citation></citation-alternatives></ref><ref id="cit41"><label>41</label><citation-alternatives><mixed-citation xml:lang="ru">Musser G. Job one for quantum computers: Boost artificial intelligence. // Quanta Magazine. URL: https://www.quantamagazine.org/job-one-for-quantum-computers-boostartificial-intelligence-20180129/ (Дата обращения 15.01.2019).</mixed-citation><mixed-citation xml:lang="en">Musser G. Job one for quantum computers: Boost artificial intelligence. Quanta Magazine. URL: https://www.quantamagazine.org/job-one-for-quantum-computers-boostartificial-intelligence-20180129/ (Access date 01/15/2019).</mixed-citation></citation-alternatives></ref><ref id="cit42"><label>42</label><citation-alternatives><mixed-citation xml:lang="ru">Алтайский М.В., Капустина Н.Е., Крылов В.А. Квантовые нейронные сети: современное состояние и перспективы развития // Физика элементарных частиц и атомного ядра. 2014. Т. 45. Вып. 5-6. С. 1825-1856.</mixed-citation><mixed-citation xml:lang="en">Altayskiy M.V., Kapustina N.E., Krylov V.A. Quantum neural networks: Current state and development prospects. Fizika elementarnykh chastits i atomnogo yadra (Physics of Elementary Particles and Atomic Nucleus). 2014; 45(5-6): 1825-1856. (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit43"><label>43</label><citation-alternatives><mixed-citation xml:lang="ru">Haykin S. Neural Networks. Pearson Education. NY: IEEE, 1999. 600 p.</mixed-citation><mixed-citation xml:lang="en">Haykin S. Neural Networks. Pearson Education. NY: IEEE, 1999. 600 p.</mixed-citation></citation-alternatives></ref><ref id="cit44"><label>44</label><citation-alternatives><mixed-citation xml:lang="ru">Schuld M., Sinayskiy I., Petruccione F. The quest for a quantum neural network // Quantum Information Processing. 2014. V. 13. Iss. 11. P. 2567-2586. DOI: 10.1007/s11128-014-0809-8</mixed-citation><mixed-citation xml:lang="en">Schuld M., Sinayskiy I., Petruccione F. The quest for a quantum neural network. Quantum Information Processing. 2014; 13(11): 2567-2586. DOI: 10.1007/s11128-014-0809-8</mixed-citation></citation-alternatives></ref><ref id="cit45"><label>45</label><citation-alternatives><mixed-citation xml:lang="ru">Qi F., Chen C. Qubit neural tree network with applications in nonlinear system modeling // IEEE Access. 2018. V. 6. P. 51598-51606. Article No. 8463464. DOI: 10.1109/ACCESS.2018.2869894</mixed-citation><mixed-citation xml:lang="en">Qi F., Chen C. Qubit neural tree network with applications in nonlinear system modeling. IEEE Access. 2018; 6: 51598-51606. Article No. 8463464. DOI: 10.1109/ACCESS.2018.2869894</mixed-citation></citation-alternatives></ref><ref id="cit46"><label>46</label><citation-alternatives><mixed-citation xml:lang="ru">da Silva A.J., Ludermir T.B., de Oliveira W.R. Quantum perceptron over a field and neural network architecture selection in a quantum computer // Neural Networks. 2016. V. 76. P. 55-64. DOI: 10.1016/j.neunet.2016.01.002</mixed-citation><mixed-citation xml:lang="en">da Silva A.J., Ludermir T.B., de Oliveira W.R. Quantum perceptron over a field and neural network architecture selection in a quantum computer. Neural Networks, 2016; 76: 55- 64. DOI: 10.1016/j.neunet.2016.01.002</mixed-citation></citation-alternatives></ref><ref id="cit47"><label>47</label><citation-alternatives><mixed-citation xml:lang="ru">Lv F., Yang G., Yang W., Zhang X., Li K. The convergence and termination criterion of quantum-inspired evolutionary neural networks // Neurocomputing. 2017. V. 238. P. 157-167. DOI: 10.1016/j.neucom.2017.01.048</mixed-citation><mixed-citation xml:lang="en">Lv F., Yang G., Yang W., Zhang X., Li K. The convergence and termination criterion of quantum-inspired evolutionary neural networks. Neurocomputing. 2017; 238: 157-167. DOI: 10.1016/j.neucom.2017.01.048</mixed-citation></citation-alternatives></ref><ref id="cit48"><label>48</label><citation-alternatives><mixed-citation xml:lang="ru">Panchi L.I., Zhao Y. Model and algorithm of sequence-based quantum-inspired neural networks // Chinese Journal of Electronics. 2018. V. 27. Iss. 1. P. 9-18. DOI: 10.1049/cje.2017.11.007</mixed-citation><mixed-citation xml:lang="en">Panchi L.I., Zhao Y. Model and algorithm of sequence-based quantum-inspired neural networks. Chinese Journal of Electronics. 2018; 27(1): 9-18. DOI: 10.1049/cje.2017.11.007</mixed-citation></citation-alternatives></ref><ref id="cit49"><label>49</label><citation-alternatives><mixed-citation xml:lang="ru">Ganjefar S., Tofighi M. Optimization of quantum-inspired neural network using memetic algorithm for function approximation and chaotic time series prediction // Neurocomputing. 2018. V. 291. P. 175-186. DOI: 10.1016/j.neucom.2018.02.074</mixed-citation><mixed-citation xml:lang="en">Ganjefar S., Tofighi M. Optimization of quantum-inspired neural network using memetic algorithm for function approximation and chaotic time series prediction. Neurocomputing. 2018; 291: 175-186. DOI: 10.1016/j.neucom.2018.02.074</mixed-citation></citation-alternatives></ref><ref id="cit50"><label>50</label><citation-alternatives><mixed-citation xml:lang="ru">Ganjefar S., Tofighi M. Training qubit neural network with hybrid genetic algorithm and gradient descent for indirect adaptive controller design // Engineering Applications of Artificial Intelligence. 2017. V. 65. P. 346-360. DOI: 10.1016/j.engappai.2017.08.007</mixed-citation><mixed-citation xml:lang="en">Ganjefar S., Tofighi M. Training qubit neural network with hybrid genetic algorithm and gradient descent for indirect adaptive controller design. Engineering Applications of Artificial Intelligence. 2017; 65(10): 346-360. DOI: 10.1016/j.engappai.2017.08.007</mixed-citation></citation-alternatives></ref><ref id="cit51"><label>51</label><citation-alternatives><mixed-citation xml:lang="ru">Ueguchi T., Matsui N., Isokawa T. Chaotic time series prediction by qubit neural network with complex-valued representation // 2016 55th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE). Tsukuba; Japan; September 20-23, 2016. Article No. 7749232. P. 1353-1358. DOI: 10.1109/SICE.2016.7749232</mixed-citation><mixed-citation xml:lang="en">Ueguchi T., Matsui N., Isokawa T. Chaotic time series prediction by qubit neural network with complex-valued representation. 2016 55th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE). Tsukuba; Japan; September 20-23, 2016. Article No. 7749232. P. 1353–1358. DOI: 10.1109/SICE.2016.7749232</mixed-citation></citation-alternatives></ref><ref id="cit52"><label>52</label><citation-alternatives><mixed-citation xml:lang="ru">Romero J., Olson, J.P., Aspuru-Guzik A. Quantum autoencoders for efficient compression of quantum data // Quantum Science and Technology. 2017. V. 2. Iss. 4. Article No. 045001. DOI: 10.1088/2058-9565/aa8072</mixed-citation><mixed-citation xml:lang="en">Romero J., Olson J.P., Aspuru-Guzik A. Quantum autoencoders for efficient compression of quantum data. Quantum Science and Technology. 2017; 2(4): Article No. 045001. DOI: 10.1088/2058-9565/aa8072</mixed-citation></citation-alternatives></ref><ref id="cit53"><label>53</label><citation-alternatives><mixed-citation xml:lang="ru">Schuld M., Sinayskiy I., Petruccione F. An introduction to quantum machine learning // Contemporary Physics. 2015. V. 56. Iss. 2. P. 172-185. DOI: 10.1080/00107514.2014.964942</mixed-citation><mixed-citation xml:lang="en">Schuld M., Sinayskiy I., Petruccione F. An introduction to quantum machine learning. Contemporary Physics. 2015; 56(2): 172-185. DOI: 10.1080/00107514.2014.964942</mixed-citation></citation-alternatives></ref><ref id="cit54"><label>54</label><citation-alternatives><mixed-citation xml:lang="ru">Perdomo-Ortiz A., Benedetti M., Realpe-Gómez J., Biswas R. Opportunities and challenges for quantum-assisted machine learning in near-term quantum computers // Quantum Science and Technology. 2018. V. 3. Iss. 3. Article No. 030502. DOI: 10.1088/2058-9565/aab859</mixed-citation><mixed-citation xml:lang="en">Perdomo-Ortiz A., Benedetti M., Realpe-Gómez J., Biswas R. Opportunities and challenges for quantum-assisted machine learning in near-term quantum computers. Quantum Science and Technology. 2018; 3(3): Article No. 030502. DOI: 10.1088/2058-9565/aab859</mixed-citation></citation-alternatives></ref><ref id="cit55"><label>55</label><citation-alternatives><mixed-citation xml:lang="ru">Rebentrost P., Mohseni M., Lloyd S. Quantum support vector machine for big data classification // Phys. Rev. Lett. 2014. V. 113. Iss. 3. Article No. 130503. DOI: 10.1103/PhysRevLett.113.130503</mixed-citation><mixed-citation xml:lang="en">Rebentrost P., Mohseni M., Lloyd S. Quantum support vector machine for big data classification. Phys. Rev. Lett. 2014; 113(3): Article No. 130503. DOI: 10.1103/PhysRevLett.113.130503/</mixed-citation></citation-alternatives></ref><ref id="cit56"><label>56</label><citation-alternatives><mixed-citation xml:lang="ru">Lloyd S., Mohseni M., Rebentrost P. Quantum principal component analysis // Nature Physics. 2014. V. 10. Iss. 9. P. 631-633. DOI: 10.1038/NPHYS3029</mixed-citation><mixed-citation xml:lang="en">Lloyd S., Mohseni M., Rebentrost P. Quantum principal component analysis. Nature Physics. 2014; 10(9): 631-633. DOI: 10.1.038/NPHYS3029</mixed-citation></citation-alternatives></ref><ref id="cit57"><label>57</label><citation-alternatives><mixed-citation xml:lang="ru">Alvarez-Rodriguez U., Lamata L., Escandell-Montero P., Martín-Guerrero J.D., Solano E. Supervised quantum learning without measurements // Scientific Reports. 2017. V. 7. Iss. 1. Article No. 13645. DOI: 10.1038/s41598-017-13378-0</mixed-citation><mixed-citation xml:lang="en">Alvarez-Rodriguez U., Lamata L., Escandell-Montero P., Martín-Guerrero J.D., Solano E. Supervised quantum learning without measurements. Scientific Reports. 2017; 7(1): Article No. 13645. DOI: 10.1038/s41598-017-13378-0</mixed-citation></citation-alternatives></ref><ref id="cit58"><label>58</label><citation-alternatives><mixed-citation xml:lang="ru">Schuld M., Sinayskiy I., Petruccione F. Prediction by linear regression on a quantum computer // Phys. Rev. A. 2016. V. 94. Iss. 2. Article No. 022342. DOI: 10.1103/PhysRevA.94.022342</mixed-citation><mixed-citation xml:lang="en">Schuld M., Sinayskiy I., Petruccione F. Prediction by linear regression on a quantum computer. Phys. Rev. A. 2016; 94(2): Article No. 022342. DOI: 10.1103/PhysRevA.94.022342</mixed-citation></citation-alternatives></ref><ref id="cit59"><label>59</label><citation-alternatives><mixed-citation xml:lang="ru">Benedetti M., Realpe-Gómez J., Biswas R., Perdomo-Ortiz A. Quantum-assisted learning of hardware-embedded probabilistic graphical models // Phys. Rev. X. 2017. V. 7. Iss. 4. Article No. 041052. DOI: 10.1103/PhysRevX.7.041052</mixed-citation><mixed-citation xml:lang="en">Benedetti M., Realpe-Gómez J., Biswas R., Perdomo-Ortiz A. Quantum-assisted learning of hardware-embedded probabilistic graphical models. Phys. Rev. X. 2017; 7(4): Article No. 041052. DOI: 10.1103/PhysRevX.7.041052</mixed-citation></citation-alternatives></ref><ref id="cit60"><label>60</label><citation-alternatives><mixed-citation xml:lang="ru">Wittek P., Gogolin C. Quantum enhanced inference in Markov logic networks // Scientific Reports. 2017. V. 7. Article No. 45672. DOI: 10.1038/srep45672</mixed-citation><mixed-citation xml:lang="en">Wittek P., Gogolin C. Quantum enhanced inference in Markov logic networks. Scientific Reports. 2017; 7: Article No. 45672. DOI: 10.1038/srep45672</mixed-citation></citation-alternatives></ref><ref id="cit61"><label>61</label><citation-alternatives><mixed-citation xml:lang="ru">Potok T.E., Schuman C.D., Young S.R., Patton R.M., Spedalieri F., Liu J., Yao K.-T., Rose G., Chakma G. A study of complex deep learning networks on high performance, neuromorphic, and quantum computers // 2016 2nd Workshop on Machine Learning in HPC Environments (MLHPC). Salt Lake City, Utah, USA, 2016. P. 47-55. DOI: 10.1109/MLHPC.2016.009</mixed-citation><mixed-citation xml:lang="en">Potok T.E., Schuman C.D., Young S.R., Patton R.M., Spedalieri F., Liu J., Yao K.-T., Rose G., Chakma G. A study of complex deep learning networks on high performance, neuromorphic, and quantum computers. 2016 2nd Workshop on Machine Learning in HPC Environments (MLHPC), Salt Lake City, Utah, USA, 2016: 47-55. doi:10.1109/MLHPC.2016.009</mixed-citation></citation-alternatives></ref><ref id="cit62"><label>62</label><citation-alternatives><mixed-citation xml:lang="ru">Aerts D., Broekaert J., Gabora L., Sozzo S. Quantum structures in cognitive and social science (Editorial) // Front. Psychol. 2016. V. 7. Iss. APR. Article No. 577. DOI: 10.3389/ fpsyg.2016.00577</mixed-citation><mixed-citation xml:lang="en">Aerts D., Broekaert J., Gabora L., Sozzo S. Quantum structures in cognitive and social science (Editorial). Front. Psychol. 2016; 7(APR): Article No. 577. DOI: 10.3389/fpsyg.2016.00577</mixed-citation></citation-alternatives></ref><ref id="cit63"><label>63</label><citation-alternatives><mixed-citation xml:lang="ru">Aerts D., Sozzo S., Veloz T. Quantum structure of negation and conjunction in human thought // Front. Psychol. 2015. V. 6. Article No. 1447. DOI: 10.3389/fpsyg.2015.01447</mixed-citation><mixed-citation xml:lang="en">Aerts D., Sozzo S., Veloz T. Quantum structure of negation and conjunction in human thought // Front. Psychol. 2015. V. 6. Article No. 1447. DOI: 10.3389/fpsyg.2015.01447</mixed-citation></citation-alternatives></ref><ref id="cit64"><label>64</label><citation-alternatives><mixed-citation xml:lang="ru">Aerts D., Sozzo S. Quantum entanglement in conceptual combinations // Int. J. Theor. Phys. 2014. V. 53. P. 3587-3603. DOI: 10.1007/s10773-013-1946-z</mixed-citation><mixed-citation xml:lang="en">Aerts D., Sozzo S. Quantum entanglement in conceptual combinations // Int. J. Theor. Phys. 2014. V. 53. P. 3587-3603. DOI: 10.1007/s10773-013-1946-z</mixed-citation></citation-alternatives></ref><ref id="cit65"><label>65</label><citation-alternatives><mixed-citation xml:lang="ru">Khrennikov A. Quantum-like model of unconscious-conscious dynamics // Front. Psychol. 2015. V. 6. Article No. 997. DOI: 10.3389/fpsyg.2015.00997</mixed-citation><mixed-citation xml:lang="en">Khrennikov A. Quantum-like model of unconscious-conscious dynamics // Front. Psychol. 2015. V. 6. Article No. 997. DOI: 10.3389/fpsyg.2015.00997</mixed-citation></citation-alternatives></ref><ref id="cit66"><label>66</label><citation-alternatives><mixed-citation xml:lang="ru">Bisconti C., Corallo A., Fortunato L., Gentile A.A., Massafra A., Pellè P. Reconstruction of a real world social network using the Potts model and loopy belief propagation // Front. Psychol. 2015. V. 6. Article No. 1698. DOI: 10.3389/fpsyg.2015.01698</mixed-citation><mixed-citation xml:lang="en">Bisconti C., Corallo A., Fortunato L., Gentile A.A., Massafra A., Pellè P. Reconstruction of a real world social network using the Potts model and loopy belief propagation // Front. Psychol. 2015. V. 6. Article No. 1698. DOI: 10.3389/fpsyg.2015.01698</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>
