05.13.01 (System analysis, the control and processing of information (separated by fields))
E-mail:
Keywords:
optimization methods,
optimal control,
control of quantum systems,
mathematical modeling,
algorithms.
Subject:
Optimization problems and methods in finite-dimensional and functional spaces. Mathematical methods for control of quantum systems.
Biography
2018 — current time. Senior Scientific Researcher, Department of Mathematical Methods for Quantum Technologies, Steklov Mathematical Institute of Russian Academy of Sciences (Moscow). In this period, a number of papers by O.V. Morzhin and Dr. Phys.-Math. Sc., RAS Prof. A.N. Pechen were published. Other co-authors: Cand. Phys.-Math. Sc. B.O. Volkov and V.N. Petruhanov. The scientific domain belongs to quantum optimal control and is focussed on study of open-loop control for certain classes of closed and open quantum systems via adapting the various mathematical methods of optimal control and finite-dimensional optimization. Along with A.N. Pechen, B.O. Volkov, and A.N. Petrukhanov, he is a co-author of the work «Landscapes of optimization for quantum gates and observables» which has been recognized by the Institute's Academic Council as one of the best works at Steklov Mathematical Institute of RAS in 2024.
O.V. Morzhin is a member of the updated in 2024 Editorial Board of the journal «Avtomatika i Telemekhanika» («Automation and Remote Control») — one of the leading scientific journals on the mathematical control theory, optimization methods. The journal is published since 1936. Now the journal is published under the RAS Department of Energy, Mechanics, Engineering and Management Processes at V.A. Trapeznikov Institute of Control Sciences of RAS (ICS RAS), co-founder of the journal is A.A. Kharkevich Institute for Information Transmission Problems of RAS.
2011 — 2017. Scientific work at ICS RAS (Moscow): a) in 2011 — 2015, in the 45th Lab. «Mathematical Methods for Study of Optimal Control Systems» under the leadership of the Honored Scientist of the Russian Federation V.F. Krotov; b) in 2015 — 2017, in the 38th Lab. «Control of Incomplete Data». He is a Senior Researcher since 2012.
2011. On Nov. 3, 2011, by the decision of a dissertation council at ICS RAS, O.V. Morzhin was awarded the degree of Candidate of Physical and Mathematical Sciences — Russian degree like to PhD in the relevant field. The Council's decision was accepted by the Ministry of Education and Science of the Russian Federation in the order dated March 22, 2012. The dissertation's title: «Methods for Nonlocal Improvement of Controls in Nonlinear Systems». Specialization: 05.13.01 -- «System Analysis, Control and Information Processing (in the Fields of Computer Science, Computer Engineering and Automation)». The dissertation proposes some new methods of sequential nonlocal improvements of controls in nonlinear optimal control problems considering differential and discrete systems. The approach uses, in particular, some special representations of the objective functionals' increments. Scientific adviser: Dr. Phys.-Math. Sc., Prof. A.S. Buldaev. Scientific consultant: Dr. Tech. Sc., Prof. A.I. Tyatyushkin.
2006 — 2011. Teaching and scientific work at the Institute of Mathematics and Computer Science,
Buryat State University (IMCS BSU, Ulan-Ude, Buryatia, Russia). In 2007, O.V. Morzhin became the winner in the nomination «The Best Assistant in the Natural Sciences» of the BSU competition «Best teacher».
2006. Graduated with with honors from IMCS BSU. Specialization: «Applied Mathematics and Informatics». In 2003 — 2004, O.V. Morzhin coursework was on asymptotic methods for ODEs under the guidance of RAS acad. A.M. Ilyin who worked for several years at IMCS BSU. The second coursework and diploma thesis were on iterative methods in optimal control, under the guidance of A.S. Buldaev. In 2001 — 2006, O.V. Morzhin was the headman of the students' group (05210). Being a student, in 2005 — 2006 he worked as a programmer at ISDCT of SB RAS.
2001. Graduated with a gold medal from the 37th Secondary School in Ulan-Ude (class with an in-depth study of mathematics). Mathematics teacher was G.M. Koneva being Excellent worker of national education (1991) who now is also a Honored Teacher of the Republic of Buryatia (2019).
Main publications:
O. V. Morzhin, “Nonlocal improvement of controlling functions and parameters in nonlinear dynamical systems”, Autom. Remote Control, 73:11 (2012), 1822–1837
V. F. Krotov, O. V. Morzhin, E. A. Trushkova, “Discontinuous solutions of the optimal control problems. Iterative optimization method”, Autom. Remote Control, 74:12 (2013), 1948–1968
O. V. Morzhin, A. N. Pechen, “Optimal state manipulation for a two-qubit system driven by coherent and incoherent controls”, Quantum Inf. Process., 22 (2023), 241
O. V. Morzhin, A. N. Pechen, “On optimization of coherent and incoherent controls for two-level quantum systems”, Izv. Math., 87:5 (2023), 1024–1050
O. V. Morzhin, A. N. Pechen, “Using and optimizing time-dependent decoherence rates and coherent control for a qutrit system”, Proc. Steklov Inst. Math., 324 (2024), 153–168
O. V. Morzhin, A. N. Pechen, “Krotov method for optimal control of closed quantum systems”, Russian Math. Surveys, 74:5 (2019), 851–908 , arXiv: 1809.09562
2.
B. O. Volkov, O. V. Morzhin, A. N. Pechen, “Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates”, J. Phys. A, 54:21 (2021), 215303 , 23 pp., arXiv: 2104.12699
O. V. Baturina, O. V. Morzhin, “Optimal control of the spin system on a basis of the global improvement method”, Autom. Remote Control, 72:6 (2011), 1213–1220
4.
Oleg V. Morzhin, Alexander N. Pechen, “Minimal Time Generation of Density Matrices for a Two-Level Quantum System Driven by Coherent and Incoherent Controls”, Internat. J. Theoret. Phys., 60 (2021), 576–584 , arXiv: 1909.09400 (Published first online in 2019)
O. V. Morzhin, A. N. Pechen, “Maximization of the overlap between density matrices for a two-level open quantum system driven by coherent and incoherent controls”, Lobachevskii J. Math., 40:10 (2019), 1532–1548
Oleg V. Morzhin, Alexander N. Pechen, “Optimal state manipulation for a two-qubit system driven by coherent and incoherent controls”, Quantum Inf. Process., 22 (2023), 241 , 27 pp., arXiv: 2304.00863
O. V. Morzhin, A. N. Pechen, “Machine Learning for Finding Suboptimal Final Times and Coherent and Incoherent Controls for an Open Two-Level Quantum System”, Lobachevskii J. Math., 41:12 (2020), 2353–2368
O. V. Morzhin, A. N. Pechen, “Maximization of the Uhlmann–Jozsa Fidelity for an Open Two-Level Quantum System with Coherent and Incoherent Controls”, Phys. Part. Nucl., 51:4 (2020), 464–469 (Open access: https://rdcu.be/cyIBn . Also see: Nature research highlights: Bringing quantum computing a step closer, https://www.nature.com/articles/d42473-021-00130-6)
9.
O. V. Morzhin, A. N. Pechen, “Generation of density matrices for two qubits using coherent and incoherent controls”, Lobachevskii J. Math., 42:10 (2021), 2401–2412
V. F. Krotov, O. V. Morzhin, E. A. Trushkova, “Discontinuous solutions of the optimal control problems. Iterative optimization method”, Autom. Remote Control, 74:12 (2013), 1948–1968
11.
A. I. Tyatyushkin, O. V. Morzhin, “Numerical investigation of attainability sets of nonlinear controlled differential systems”, Autom. Remote Control, 72:6 (2011), 1291–1300
12.
O. V. Morzhin, “Nonlocal improvement of nonlinear controlled processes on the basis of sufficient optimality conditions”, Autom. Remote Control, 71:8 (2010), 1526–1539
13.
O. V. Morzhin, A. N. Pechen, “Krotov type optimization of coherent and incoherent controls for open two-qubit systems”, Bulletin of Irkutsk State University, Series Mathematics, 45 (2023), 3–23 , arXiv: 2308.06119
A. I. Tyatyushkin, O. V. Morzhin, “Constructive methods of control optimization in nonlinear systems”, Autom. Remote Control, 70:5 (2009), 772–786
15.
O.V. Morzin; A.I. Tyatyushkin, “An algorithm of the method of sections and program tools for constructing reachable sets of nonlinear control systems”, Journal of Computer and Systems Sciences International, 47:1 (2008), 1-7
16.
O. V. Morzhin, A. N. Pechen, “On Reachable and Controllability Sets for Minimum-Time Control of an Open Two-Level Quantum System”, Proceedings of the Steklov Institute of Mathematics, 313 (2021), 149–164
17.
O. V. Morzhin, A. N. Pechen, “Numerical estimation of reachable and controllability sets for a two-level open quantum system driven by coherent and incoherent controls”, AIP Conference Proceedings, 2362 (2021), 060003 , 16 pp., arXiv: 2106.10146
O. V. Morzhin, “On approximation of the subdifferential of the nonsmooth penalty functional in the problems of optimal control”, Autom. Remote Control, 70:5 (2009), 761–771
19.
Oleg V. Morzhin, Alexander N. Pechen, “Control of the von Neumann entropy for an open two-qubit system using coherent and incoherent drives”, Entropy, 26:1 (2024), 36 , 22 pp.
O. V. Morzhin, A. N. Pechen, “On optimization of coherent and incoherent controls for two-level quantum systems”, Izv. Math., 87:5 (2023), 1024–1050
21.
O. V. Morzhin, “Nonlocal improvement of controlling functions and parameters in nonlinear dynamical systems”, Autom. Remote Control, 73:11 (2012), 1822–1837
22.
A. I. Tyatyushkin, O. V. Morzhin, “An algorithm for numerical synthesis of optimal control”, Autom. Remote Control, 69:4 (2008), 645–653
23.
Oleg V. Morzhin, Alexander N. Pechen, “Gradient projection method for constrained quantum control”, J. Phys. A: Math. Theor., 58:13 (2025), 135303 , 24 pp.
O. V. Morzhin, A. N. Pechen, “Generation of C-NOT, SWAP, and C-Z gates for two qubits using coherent and incoherent controls and stochastic optimization”, Lobachevskii J. Math., 45:2 (2024), 728–740
O.V. Morzhin, A.I. Tyatyushkin, “On optimization of position control in attainability tube in a model problem”, Journal of Computer and Systems Sciences International, Vol. 49:Issue 5 (2010), pp. 740–749
26.
A. N. Pechen, V. N. Petruhanov, O. V. Morzhin, B. O. Volkov, “Control landscapes for high-fidelity generation of C-NOT and C-PHASE gates with coherent and environmental driving”, Eur. Phys. J. Plus, 139 (2024), 411 , 21 pp.
O. V. Morzhin, A. N. Pechen, “Using and optimizing time-dependent decoherence rates and coherent control for a qutrit system”, Proc. Steklov Inst. Math., 324 (2024), 153–168
O. V. Morzhin, “Nonlocal Improvement of Controls in Nonlinear Discrete Systems”, Izv. Irkutsk. Gos. Univ., Ser. Mat., 19:1 (2017), 150–163 (Title, abstract, key words, and references are given in Russian and English)
30.
O. V. Morzhin, “Auto-encoders: examples of their using for data dimensionality reduction”, Distributed Computer and Communication Networks (DCCN 2016): Proc. of the 19th International Conference, Moscow, Russia, 2016
31.
O. V. Morzhin, “Manifolds and dimensionality reduction in machine learning. On the Student's t-distribution role in the t-SNE method”, Geometry of manifolds and its applications: Proc. of the 4th scientific conference (Ulan-Ude), 2016
32.
V. F. Krotov, O. V. Morzhin, E. A. Trushkova, “Razryvnye resheniya zadach optimalnogo upravleniya. Iteratsionnyi metod optimizatsii”, XII Vserossiiskoe soveschanie po problemam upravleniya, IPU RAN, Moskva, 2014, 2300–2312
33.
O. V. Morzhin, “Nelokalnye uluchsheniya upravlenii v nelineinykh diskretnykh zadachakh optimalnogo upravleniya”, XII Vserossiiskoe soveschanie po problemam upravleniya, IPU RAN, Moskva, 2014, 650-658
34.
O. V. Morzhin, “Metody nelokalnogo uluchsheniya upravlenii v nelineinykh dinamicheskikh sistemakh”, Mater. konf. “Upravlenie v tekhnicheskikh, ergaticheskikh, organizatsionnykh i setevykh sistemakh”, eds. S. N. Vasilev, I. A. Kalyaev, D. A. Novikov, G. G. Sebryakov, TsNII “Elektropribor”, Sankt-Peterburg, 2012, 183
35.
O. V. Baturina, A. V. Bulatov, O. V. Morzhin, “Algorithms for nonlocal improvement of controls in classes of nonlinear differential systems”, Program Systems: Theory and Applications, 2:5 (2011), 31–48
36.
O. V. Morzhin, “Computational aspects of nonlocal improvement for control in differential systems”, Program Systems: Theory and Applications, 2:2 (2011), 37–51
37.
O. V. Baturina, O. V. Morzhin, “Quantum system control optimization for the Landau-Ziner model”, Program Systems: Theory and Applications, 2:1 (2011), 51–61
38.
O. V. Morzhin, Metody nelokalnogo uluchsheniya upravlenii v klassakh nelineinykh sistem: Dissertatsiya na soiskanie uchenoi stepeni kand. fiz.-mat. nauk po spetsialnosti 05.13.01 – “Sistemnyi analiz, upravlenie i obrabotka informatsii (v otraslyakh informatiki, vychislitelnoi tekhniki i avtomatizatsii)”, Mesto zaschity: In-t problem upr. im. V.A. Trapeznikova RAN, Moskva, 2011 , 112 pp.
39.
O. V. Morzhin, “Proektsionnye metody nelokalnogo uluchsheniya upravlyayuschikh funktsii i parametrov”, Vestnik Buryatskogo gosudarstvennogo universiteta. Matematika i informatika, 2011, no. 9, 31–35
40.
O. V. Morzhin, “Nonlocal improvement methods in optimal control problems on based on exact formulas for the cost functional's increment”, Program Systems: Theory and Applications, 1:4 (2010), 67–83
41.
O. V. Morzhin, “Nonlocal improving controls of nonlinear discrete systems”, Program Systems: Theory and Applications, 1:1 (2010), 21–44
42.
O.V. Morzhin, A.I. Tyatyushkin, “Approximation of Reachable and Solvability Sets of Nonlinear Controlled Differential Systems”
43.
A. S. Buldaev, O. V. Morzhin, “Modifikatsiya metoda proektsii dlya uluchsheniya nelineinykh upravlenii”, Vestnik Buryatskogo gosudarstvennogo universiteta, 2010, Matematika i informatika, no. 9, 10–17
44.
O.V. Morzhin, “Nelokalnoe uluchshenie upravlenii differentsialnymi i diskretnymi sistemami”, Upravlenie, informatsiya i optimizatsiya: Sb. tr. II Vseros. tradits. molodezhnoi letnei shkoly (Pereslavl-Zalesskii, 20–27 iyunya 2010 g.), eds. B. T. Polyak, IPU RAN, 2010, 81–86
45.
O. V. Morzhin, A. I. Tyatyushkin, “K approksimatsii mnozhestv dostizhimosti nelineinykh upravlyaemykh differentsialnykh sistem”, Mater. III mezhdunar. konf. IKVTS-2010 (g. Ulan-Ude – oz. Baikal, 6–11 sent. 2010 g.), Izd-vo BGU, 2010, 115–119
46.
O. V. Morzhin, A. I. Tyatyushkin, “Metody optimizatsii i programmnaya sistema dlya resheniya prikladnykh zadach optimalnogo upravleniya”, Sovremennye tekhnologii. Sistemnyi analiz. Modelirovanie, no. 3, Izd-vo Irkutskogo gos. un-ta putei soobscheniya, 2009, 78–82
47.
A. S. Buldaev, O. V. Morzhin, “O prakticheskoi realizatsii nelokalnogo uluchsheniya v nelineinykh zadachakh optimalnogo upravleniya”, Vestnik Buryatskogo gosudarstvennogo universiteta, 2009, no. 9, Matematika i informatika, 22–27
48.
A. S. Buldaev, O. V. Morzhin, “Uluchshenie upravlenii v nelineinykh sistemakh na osnove kraevykh zadach”, Izvestiya Irkutskogo gosudarstvennogo universiteta, 2009, no. 1, Matematika, 94–107http://mathizv.isu.ru/ru/article?id=1138
49.
A. I. Tyatyushkin, O. V. Morzhin, “Vychislitelnye tekhnologii optimizatsii pozitsionnykh upravlenii v differentsialnykh sistemakh”, Programmnye produkty i sistemy, 2009, no. 2, 100–103http://www.swsys.ru/index.php?page=article&id=2258
50.
O. V. Morzhin, “Postroenie minimiziruyuschikh posledovatelnostei v sistemakh s neogranichennymi upravleniyami”, Vestnik Buryatskogo gos. un-ta. Matematika i informatika, 2009, no. 9, 39–51
51.
O. V. Morzhin, “Optimizatsiya pozitsionnykh upravlenii dlya differentsialnykh sistem v trubkakh razreshimosti”, Trudy I Traditsionnoi vserossiiskoi molodezhnoi letnei shkoly “Upravlenie, informatsiya i optimizatsiya”, eds. B. T. Polyak, IPU RAN, Moskva, 2009, 56–61
52.
A. I. Tyatyushkin, O. V. Morzhin, “Algoritmicheskoe obespechenie chislennoi optimizatsii pozitsionnogo upravleniya v nelineinykh sistemakh”, Mater. Mezhdunar. konf. “Dinamicheskie sistemy: ustoichivost, upravlenie, optimizatsiya” (DSSCO'08), posvyaschennoi 90-letiyu so dnya rozhdeniya akad. E.A. Barbashina, Institut matematiki NAN Belorussii, Minsk, 2008, 151–153http://elib.bsu.by/bitstream/123456789/94237/1/101.pdf
53.
O. V. Morzhin, A. S. Buldaev, “Adaptivnyi algoritm realizatsii differentsialnogo printsipa maksimuma”, Vestnik Buryatskogo gosudarstvennogo universiteta. Matematika i informatika, 2008, no. 9, 35–41
54.
O. V. Morzhin, A. I. Tyatyushkin, “Optimizatsiya pozitsionnogo upravleniya v odnoi zadache ukloneniya ot presledovatelya”, Materialy IV mezhdunar. simpoziuma “Obobschennye resheniya v zadachakh upravleniya”, posvyaschennogo 80-letiyu akad. RAN V.A. Ilina (GSCP) (23–28 iyunya 2008 g., Ulan-Ude — oz. Baikal), Izd-vo BGU, Ulan-Ude, 2008, 77–85
55.
O. V. Morzhin, “On one approach for global solution of optimal control problems with terminal constraints”, Proceedings of the 2nd International Conf. on Optimization and Optimal Control, dedicated to the memory of Oleg V. Vasiliev (Ulaanbaatar, Mongolia, July 17–20, 2007), Conf. Program, 2007
56.
O. V. Morzhin, E. S. Izyureva, “O realizatsii approksimatsii optimalnogo impulsnogo skolzyaschego rezhima”, Vestnik Buryatskogo gosudarstvennogo universiteta. Matematika i informatika, fizika i tekhnika, 2007, no. 6, 41–44
57.
O. V. Morzhin, I. A. Sidorov, “Raspredelennye vychisleniya v algoritmakh otsenivaniya fazovogo sostoyaniya upravlyaemykh sistem”, Mater. II Vseros. konf. “Infokommunikatsionnye i vychislitelnye tekhnologii i sistemy” (IKVTS-06) s mezhdunar. uchastiem (Ulan-Ude — oz. Baikal, p. Enkhaluk), v. 2, Izd-vo BGU, Ulan-Ude, 2006, 35–47
58.
O. V. Morzhin, A. I. Tyatyushkin, “Postroenie mnozhestva upravlyaemosti (dostizhimosti) dlya dvumernoi nelineinoi sistemy”, Vestnik Buryatskogo gos. un-ta. Matematika i informatika, 2006, no. 2, 38–46
59.
A. I. Tyatyushkin, O. V. Morzhin, “Chislennyi sintez optimalnogo upravleniya”, Tez. dokl. Mezhdunar. simpoziuma “Obobschennye resheniya v zadachakh upravleniya” (GSCP'06), Ulan-Ude — oz. Baikal, p. Enkhaluk, Izd-vo VSGTU, 2006, 82–84
D. O. Trunin, O. V. Morzhin, “Reshenie zadach optimalnogo upravleniya s posledeistviem, funktsionalnymi i fazovymi ogranicheniyami na osnove metoda proektsionnykh vozmuschenii”, Vestnik Buryatskogo gosuniversiteta. Ser. 13: Matematika i informatika, 2005, no. 2, 169–180
62.
O. V. Morzhin, “Zadachi mnogometodnoi optimizatsii programmnykh upravlenii v sistemakh s fazovymi ogranicheniyami”, Tez. dokl. VII shkoly-seminara molodykh uchenykh “Matematicheskoe modelirovanie i informatsionnye tekhnologii”, IDSTU SO RAN, Irkutsk, 2005, 25
O. V. Morzhin, A. N. Pechen, Annotatsiya k “Programme dlya generatsii dvukhkubitnogo ventilya C-Z v otkrytykh kvantovykh sistemakh s pomoschyu metoda stokhasticheskoi optimizatsii” (svidet-vo # RU 2025610390 o gos. registratsii programmy), 2025
65.
I. V. Rasina, O. V. Morzhin, “90th Anniversary of the Birth: Vladimir Iosifovich Gurman”, Automation and Remote Control, 2024, no. 11, 1128–1130http://ait.mtas.ru/en/archive/volume85issue11/
66.
E. Ya. Rubinovich, O. V. Morzhin, “The VI International scientific workshop “Generalized statements and solutions of control problems” (GSSCP-2012)”, Avtomat. i Telemekh., 2013, no. 12, 3–4
O. V. Morzhin, B. D. Shirapov, “BGU na vystavke “Innovatsii dlya ekonomiki i sotsialnoi sfery””, UniverSiti: gazeta Buryatskogo gos. un-ta, 2007, no. 12 (109), 4http://www.bsu.ru/content/newspaper/pdf/109.pdf
71.
O. V. Morzhin, A. A. Irincheev, “Olimpiada po matematike sredi studentov IMI i FEU”, UniverSiti: gazeta Buryatskogo gos. un-ta, 2007, no. 12 (109), 4http://www.bsu.ru/content/newspaper/pdf/109.pdf
Gradient Projection Method for Quantum Control O. V. Morzhin, A. N. Pechen International conference "Theory of functions and its applications" dedicated to the 120th anniversary of S. M. Nikol'skii July 3, 2025 11:50
On Optimization of Coherent and Incoherent Controls in One- and Two-Qubit Open Systems O. V. Morzhin III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 6, 2023 15:00
Optimal control problems and methods for some open quantum systems O. V. Morzhin, A. N. Pechen International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 8, 2022 13:10
Time optimal control of two-level open quantum systems O. V. Morzhin International Bogolyubov Conference Problems of Theoretical and Mathematical Physics dedicated to the 110th anniversary of N. N. Bogolyubov's birth September 9, 2019 16:20
