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.
In 2020, O.V. Morzhin and A.N. Pechen for the first time give the lecture course "Control of Quantum Systems" for master students of Moscow Institute of Physics and Technology (National Research University, MIPT) due to the formation of the Department "Methods of Modern Mathematics" jointly by the Steklov Mathematical Institute and MIPT in 2020. Then this one-semester course was given again: in 2021, in 2022, and in 2023. In Sept. 2024, the corresponding course has been started which will be during the next two semesters. Since 2022, these courses have the three lecturers including B.O. Volkov.
2011 — 2017. Scientific work at the Trapeznikov Institute of Control Sciences, Russian Academy of Sciences (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". 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. 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, “Using and optimizing time-dependent decoherence rates and coherent control for a qutrit system”, Proc. Steklov Inst. Math., 324 (2024), 153–168
2.
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. ;
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. ;
4.
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 , arXiv: 2312.05625
5.
Oleg V. Morzhin, Alexander N. Pechen, “Correction: Morzhin, O.V.; Pechen, A.N. Control of the von Neumann entropy for an open two-qubit system using coherent and incoherent drives. Entropy 2024, 26, 36”, Entropy, 26:9 (2024), 750
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
8.
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, “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
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
11.
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
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;
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, “Generation of density matrices for two qubits using coherent and incoherent controls”, Lobachevskii J. Math., 42:10 (2021), 2401–2412;
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)
16.
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, “Krotov method for optimal control of closed quantum systems”, Russian Math. Surveys, 74:5 (2019), 851–908 , arXiv: 1809.09562
18.
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
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)
2016
21.
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
22.
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
2014
23.
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
24.
O. V. Morzhin, “Nelokalnye uluchsheniya upravlenii v nelineinykh diskretnykh zadachakh optimalnogo upravleniya”, XII Vserossiiskoe soveschanie po problemam upravleniya, IPU RAN, Moskva, 2014, 650-658
2013
25.
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
2012
26.
O. V. Morzhin, “Nonlocal improvement of controlling functions and parameters in nonlinear dynamical systems”, Autom. Remote Control, 73:11 (2012), 1822–1837
27.
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
2011
28.
A. I. Tyatyushkin, O. V. Morzhin, “Numerical investigation of attainability sets of nonlinear controlled differential systems”, Autom. Remote Control, 72:6 (2011), 1291–1300
29.
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
30.
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
31.
O. V. Morzhin, “Computational aspects of nonlocal improvement for control in differential systems”, Program Systems: Theory and Applications, 2:2 (2011), 37–51
32.
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
33.
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.
34.
O. V. Morzhin, “Proektsionnye metody nelokalnogo uluchsheniya upravlyayuschikh funktsii i parametrov”, Vestnik Buryatskogo gosudarstvennogo universiteta. Matematika i informatika, 2011, no. 9, 31–35
2010
35.
O. V. Morzhin, “Nonlocal improvement of nonlinear controlled processes on the basis of sufficient optimality conditions”, Autom. Remote Control, 71:8 (2010), 1526–1539
36.
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
37.
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
38.
O. V. Morzhin, “Nonlocal improving controls of nonlinear discrete systems”, Program Systems: Theory and Applications, 1:1 (2010), 21–44
39.
O.V. Morzhin, A.I. Tyatyushkin, “Approximation of Reachable and Solvability Sets of Nonlinear Controlled Differential Systems”
2010
40.
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
41.
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
42.
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
2009
43.
A. I. Tyatyushkin, O. V. Morzhin, “Constructive methods of control optimization in nonlinear systems”, Autom. Remote Control, 70:5 (2009), 772–786
44.
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
45.
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
46.
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
47.
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
48.
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
49.
O. V. Morzhin, “Postroenie minimiziruyuschikh posledovatelnostei v sistemakh s neogranichennymi upravleniyami”, Vestnik Buryatskogo gos. un-ta. Matematika i informatika, 2009, no. 9, 39–51
50.
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
2008
51.
A. I. Tyatyushkin, O. V. Morzhin, “An algorithm for numerical synthesis of optimal control”, Autom. Remote Control, 69:4 (2008), 645–653
52.
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
53.
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
54.
O. V. Morzhin, A. S. Buldaev, “Adaptivnyi algoritm realizatsii differentsialnogo printsipa maksimuma”, Vestnik Buryatskogo gosudarstvennogo universiteta. Matematika i informatika, 2008, no. 9, 35–41
55.
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
2007
56.
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
57.
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
2006
58.
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
59.
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
60.
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
63.
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
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
2024
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