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Department of Mathematical Methods of Quantum Technologies

| Areas of Research | Lectures and seminars | Publications |
Staff
Pechen Alexander Nikolaevich

Doctor Phys.-Math. Sci., Professor of RAS, Head of Department, Leading Scientific Researcher
office: 438 ; tel.: +7 (495) 984 81 41 * 39 92; e-mail: pechen@mi-ras.ru
Principal fields of research: Dynamics of open quantum systems. Quantum control.
Pechen Alexander Nikolaevich
Ageev Dmitrii Sergeevich

Candidate Phys.-Math. Sci., Scientific Researcher
e-mail: ageev@mi-ras.ru
Khramtsov Mikhail Alexandrovich

Junior Scientific Researcher
e-mail: khramtsov@mi-ras.ru
Kronberg Dmitry Anatolievich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
e-mail: dmitry.kronberg@gmail.com
Kronberg Dmitry Anatolievich
Lyakhov Konstantin Andreevich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
e-mail: lyakhov2000@yahoo.com
Lyakhov Konstantin Andreevich
Morzhin Oleg Vasil'evich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
e-mail: oleg_morzhin@mi-ras.ru
Morzhin Oleg Vasil'evich
Teretenkov Aleksandr Evgen'evich

Candidate Phys.-Math. Sci., Scientific Researcher
e-mail: taemsu@mail.ru
Tikhanovskaya Mariya Dmitrievna

Junior Researcher
e-mail: tikhanovskaya@mi-ras.ru
Avanesov Ashot Sergeevich

Junior Researcher
e-mail: avanesov@phystech.edu
Avanesov Ashot Sergeevich
Top
Areas of Research
The Laboratory of Mathematical Methods of Quantum Technologies was established in 2016 with the goal of solving mathematical problems necessary for the development of quantum technologies. The basis of quantum technologies is the use of specific properties of individual quantum systems such as photons, atoms, molecules. These properties include superposition of quantum states, quantum entanglement, the Heisenberg uncertainty principle, and other. Quantum technologies develop in such directions as quantum computers, quantum cryptography, quantum metrology, quantum sensors, etc. In this area, a number of mathematical problems arise, which are investigated by the employees of the laboratory. In particular, the laboratory conducts research in the following areas:
  • Control of quantum systems;
  • Dynamics of open quantum systems;
  • Quantum cryptography;
  • Quantum teleportation.
Top
Lectures and seminars
Employees of the laboratory teach the course Mathematics of Quantum Technologies at the Research and Education Center of Steklov Institute. The program of the course includes quantum algorithms, quantum informatics, quantum cryptography, control of quantum systems. The course is intended for graduate and post-graduate students, young researchers.
Workshop Mathematical Methods in the Problems of Quantum Technology was organised in the Steklov Institute on October 9, 2017. The participants from Princeton University (USA), National University of Jeju (Korea), Moscow Institute of Physics and Technology (Moscow Region), Skolkovo Institute of Science and Technology, Russian Quantum Center, Steklov Mathematical Institute (Moscow). Various topics in mathematical methods of quantum technologies were discussed including control of quantum systems, dynamics of open quantum systems, quantum cryptography, quantum adiabaticity, laser-assisted isotope separation.
Second workshop «Mathematical Methods in the Problems of Quantum Technology» was held in the Steklov Institute on November 26, 2018. Participants from Steklov Institute, Tulane University (USA), National University of Jeju (Korea), MISiS, Moscow Institute of Physics and Technology, Skolkovo Institute of Science and Technology gave talks on various topics in mathematical methods of quantum technologies, including control of quantum systems, quantum Sinkhorn's theorem, quantum cryptography, laser-assisted isotope separation6 parametrizations of density matrices.
Lectures:
Alexander Pechen, Mathematics of quantum technologies, presentation at the General Meeting of the Branch of Mathematical Sciences, Russian Academy of Sciences (in Russian), 12 Nov 2018
Alexander Pechen, Some topics in dynamics and control of quantum systems,In the broadcast Moscow. Territory of science on radio station Echo of Moscow (in Russian) , 29 May 2014 Listen
D. A. Kronberg, Quantum key distribution security and related problems, Colloquium of the Steklov Mathematical Institute of Russian Academy of Sciences, May 10, 2018


Recent publications

| by years | scientific publications | by types |


1. Oleg Morzhin, Alexander Pechen, Krotov method in optimal quantum control. I. Closed systems , arXiv: 1809.09562

   2019
2. Dmitry S. Ageev, Irina Ya. Aref'eva, “When things stop falling, chaos is suppressed”, JHEP, 2019:1 (2019), 100 , 9 pp., arXiv: 1806.05574  mathnet  crossref  scopus

   2018
3. N. B. Il'in, A. N. Pechen', “Critical point in the problem of maximizing the transition probability using measurements in an $n$-level quantum system”, Theoret. and Math. Phys., 194:3 (2018), 384–389  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
4. N. B. Ilin, A. N. Pechen, “Conditions for the absence of local extrema in problems of quantum coherent control”, Proc. Steklov Inst. Math., 301 (2018), 109–113  mathnet  crossref  crossref  mathscinet  isi  scopus
5. A. S. Avanesov, D. A. Kronberg, A. N. Pechen, “Active beam splitting attack applied to differential phase shift quantum key distribution protocol”, P-Adic Numbers Ultrametric Anal. Appl., 10:3 (2018), 222–232  mathnet  crossref  mathscinet  isi  scopus
6. K. A. Lyakhov, A. N. Pechen, H.-J. Lee, “The efficiency of one-line versus multi-line excitation of boron isotopes within the method of selective laser assisted retardation of condensation”, AIP Advances, 8 (2018), 95325 , 10 pp.  mathnet  crossref  isi  scopus
7. A. N. Pechen, “Some Methods of Construction of Controls for Quantum Systems”, Quantum probability, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 151, VINITI, Moscow, 2018, 67–72  mathnet
8. K. A. Lyakhov, A. N. Pechen, “Objective Function in the Problem of Optimal Laser-Assisted Separation of Isotopes by the Method of Selective Retardation of Condensation”, Quantum probability, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 151, VINITI, Moscow, 2018, 62–66  mathnet
9. A. N. Pechen, “International Congress of Mathematicians 2018: from Rio de Janeiro to St. Petersburg”, Uspekhi Mat. Nauk, 73:6(444) (2018), 211–217  mathnet  crossref  elib
10. D. A. Kronberg, Yu. V. Kurochkin, “Role of intensity fluctuations in quantum cryptography with coherent states”, Quantum Electron., 48:9 (2018), 843–848  mathnet  mathnet  crossref  isi  elib  elib  scopus
11. D. S. Ageev, I. Ya. Aref'eva, “Holographic non-equilibrium heating”, JHEP, 2018:3 (2018), 103 , 19 pp., arXiv: 1704.07747  mathnet  crossref  isi (cited: 3)  scopus (cited: 2)
12. D. S. Ageev, I. Ya. Aref'eva, A. A. Golubtsova, E. Gourgoulhon, “Thermalization of holographic Wilson loops in spacetimes with spatial anisotropy”, Nuclear Phys. B, 931 (2018), 506–536  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 2)
13. Dmitry Ageev, “Holography, quantum complexity and quantum chaos in different models”, 20th International Seminar on High Energy Physics (QUARKS-2018) (Valday, Russia, 27 May – 02 June, 2018), EPJ Web of Conf., 2018, 8pp (to appear)
14. Dmitry Ageev, Irina Aref'eva, Andrey Bagrov, Mikhail I. Katsnelson, “Holographic local quench and e ective complexity”, JHEP, 2018:8 (2018), 71 , 30 pp., arXiv: 1803.11162  mathnet  crossref  isi (cited: 5)  scopus (cited: 6)
15. Irina Aref'eva, Mikhail Khramtsov, Maria Tikhanovskaya, Igor Volovich, “On replica-nondiagonal large $N$ saddles in the SYK model”, 20th International Seminar on High Energy Physics (QUARKS-2018) (Valday, Russia, 27 May – 02 June, 2018), EPJ Web of Conf., 191, 2018, 6007 , 8 pp.  mathnet  crossref  scopus
16. Irina Aref`eva, Mikhail Khramtsov, Maria Tikhanovskaya, “On $1/N$ diagrammatics in the SYK model beyond the conformal limit”, 20th International Seminar on High Energy Physics QUARKS-2018 (Valday, Russia, 27 May - 02 June, 2018), EPJ Web of Conferences, EPJ Web of Conf., 191, 2018, 06008 , 8 pp. https://doi.org/10.1051/epjconf/201819106008, arXiv: 1811.04837  mathnet  crossref  scopus
17. I. Aref`eva, M. Khramtsov, M. Tikhanovskaya and I. Volovich, Replica-nondiagonal solutions in the SYK model, 2018 , 55 pp., arXiv: 1811.04831

   2017
18. A. N. Pechen, N. B. Il'in, “Control landscape for ultrafast manipulation by a qubit”, J. Phys. A, 50:7 (2017), 75301 , 14 pp.  mathnet  crossref  mathscinet  isi (cited: 4)  scopus (cited: 4)
19. K. A. Lyakhov, H. J. Lee, A. N. Pechen, “Some issues of industrial scale boron isotopes separation by the laser assisted retarded condensation (SILARC) method”, Separation and Purification Technology, 176:4 (2017), 402–411  mathnet  crossref  isi (cited: 7)  scopus (cited: 7)
20. A. N. Pechen, “Some mathematical problems of control of quantum systems”, Quantum computing, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 138, VINITI, Moscow, 2017, 76–81  mathnet
21. N. B. Il'in, A. N. Pechen, “Discrete approximations of dynamical quantum Zeno effect”, Quantum computing, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 138, VINITI, Moscow, 2017, 50–59  mathnet
22. Dmitry V. Zhdanov, Alexander Pechen, Tamar Seideman, Physical and engineering limitations beyond smooth and step-like policies in terminal and periodic quantum optimal control, 2017 , arXiv: 1709.09423
23. O. V. Morzhin, “Nonlocal Improvement of Controls in Nonlinear Discrete Systems”, Izv. Irkutsk. Gos. Univ., Ser. Mat., 19:1 (2017), 150–163  mathnet  crossref  zmath  elib
24. D. A. Kronberg, E. O. Kiktenko, A. K. Fedorov, Yu. V. Kurochkin, “Analysis of coherent quantum cryptography protocol vulnerability to an active beam-splitting attack”, Quantrum Electron., 47:2 (2017), 163–168  mathnet  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 2)
25. D. A. Kronberg, “New methods of error correction in quantum cryptography using low-density parity-check codes”, Matem. vopr. kriptogr., 8:2 (2017), 77–86  mathnet  crossref  mathscinet  elib
26. Math. Notes, 101:2 (2017), 341–351  mathnet  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)
27. S. V. Kozyrev, A. A. Mironov, A. E. Teretenkov, I. V. Volovich, “Flows in nonequilibrium quantum systems and quantum photosynthesis”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 20:4 (2017), 1750021 , 19 pp.  mathnet (cited: 4)  crossref  mathscinet  isi (cited: 5)  scopus (cited: 5)
28. A. E. Teretenkov, “Quadratic Fermionic Dynamics with Dissipation”, Math. Notes, 102:6 (2017), 846–854  mathnet  crossref  crossref  isi (cited: 1)  elib  scopus (cited: 1)
29. D. S. Ageev, I. Ya. Aref'eva, “Waking and scrambling in holographic heating up”, Theoret. and Math. Phys., 193:1 (2017), 1534–1546  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 3)  elib  scopus (cited: 3)
30. Irina Ya. Aref'eva, Mikhail A. Khramtsov, Maria D. Tikhanovskaya, “Thermalization after holographic bilocal quench”, JHEP, 9 (2017), 115 , 66 pp., arXiv: 1706.07390  mathnet  crossref  isi (cited: 9)  scopus (cited: 11)
31. Ashot S. Avanesov, Vladimir I. Manko, “Dissipative Evolution of the Qubit State in the Tomographic-Probability Representation”, Journal of Russian Laser Research, 38:4 (2017), 311-323  crossref  isi  scopus

   2016
32. Valentina Markusova, Konstantin Fursov, Aleksandr Pechen, Natalya Ivanova, Sergei Dmitriev, Artëm Oganov i dr., “Kak ukrepit pozitsii rossiiskoi nauki v mire? Itogi onlain-diskussii po voprosam publikatsionnoi aktivnosti”, Elektronnoe izdanie NAUKA I TEKhNOLOGII ROSSII – STRF.ru, 2016 Kak ukrepit pozitsii rossiiskoi nauki v mire
33. A. N. Pechen, “On the speed gradient method for generating unitary quantum operations for closed quantum systems”, Russian Math. Surveys, 71:3 (2016), 597–599  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)
34. Alexander N. Pechen, Nikolay B. Il'in, “On the problem of maximizing the transition probability in an $n$-level quantum system using nonselective measurements”, Proc. Steklov Inst. Math., 294 (2016), 233–240  mathnet  crossref  crossref  mathscinet  isi (cited: 6)  elib  elib  scopus (cited: 2)
35. A. N. Pechen, N. B. Il'in, “On extrema of the objective functional for short-time generation of single-qubit quantum gates”, Izv. Math., 80:6 (2016), 1200–1212  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus
36. K. A. Lyakhov, H. J. Lee, A. N. Pechen, “Some features of Boron isotopes separation by the laser-assisted retardation of condensation method in multipass irradiation cell implemented as a resonator”, IEEE Journal of Quantum Electronics, 52:12 (2016), 1400208 , 8 pp.  mathnet  crossref  isi (cited: 3)  scopus (cited: 3)
37. 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  elib
38. 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  elib
39. A. E. Teretenkov, “Quadratic Dissipative Evolution of Gaussian States”, Math. Notes, 100:4 (2016), 642–646  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  scopus
40. D. S. Ageev, I. Ya. Aref'eva, “Holographic instant conformal symmetry breaking by colliding conical defects”, Theoret. and Math. Phys., 189:3 (2016), 1742–1754  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 8)  elib  scopus (cited: 3)
41. D. S. Ageev, I. Ya. Aref'eva, M. D. Tikhanovskaya, “$(1+1)$-Correlators and moving massive defects”, Theoret. and Math. Phys., 188:1 (2016), 1038–1068  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 9)  elib  elib  scopus
42. Dmitry S. Ageev, Irina Ya. Aref'eva, Anastasia A. Golubtsova, Eric Gourgoulhon, Holographic Wilson loops in Lifshitz-like backgrounds, 2016 , 31 pp., arXiv: 1606.03995
43. Dmitry Ageev, “Holographic Wilson loops in anisotropic quark-gluon plasma”, 19th International Seminar on High Energy Physics (QUARKS-2016), Sankt-Peterburg, 29 maya–4 iyunya 2016 g., EPJ Web of Conf., 125, 2016, 4007 , 6 pp.  mathnet  crossref  isi (cited: 3)  scopus (cited: 3)
44. I. Ya. Aref'eva, M. A. Khramtsov, M. D. Tikhanovskaya, “Improved image method for a holographic description of conical defects”, Theoret. and Math. Phys., 189:2 (2016), 1660–1672  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 5)  elib  scopus (cited: 4)
45. Maria Tikhanovskaya, “Localized quench in 1+1 conformal field theory”, 19th International Seminar on High Energy Physics (QUARKS-2016), Sankt-Peterburg, 29 maya–4 iyunya 2016 g., EPJ Web of Conf., 125, 2016, 5026 , 6 pp.  mathnet  crossref  isi (cited: 1)  scopus (cited: 1)
46. Irina Ya. Aref'eva, Mikhail A. Khramtsov, “AdS/CFT prescription for angle-deficit space and winding geodesics”, JHEP, 2016, no. 4, 121 , 21 pp., arXiv: 1601.​02008  mathnet (cited: 2)  crossref  isi (cited: 11)  elib  scopus (cited: 9)
47. I. Ya. Aref'eva, M. A. Khramtsov, M. D. Tikhanovskaya, Holographic Dual to Conical Defects III: Improved Image Method, 2016 , 18 pp., arXiv: 1604.08905
48. Mikhail Khramtsov, “Holographic dictionary and defects in the bulk”, 19th International Seminar on High Energy Physics (QUARKS-2016), Sankt-Peterburg, 29 maya–4 iyunya 2016 g., EPJ Web of Conf., 125, 2016, 5010 , 8 pp.  mathnet  crossref  isi (cited: 1)  scopus (cited: 1)

   2015
49. A. N. Pechen, A. S. Trushechkin, “Measurement-assisted Landau-Zener transitions”, Phys. Rev. A, 91:5 (2015), 052316 , 15 pp., arXiv: 1506.08323  mathnet (cited: 1)  crossref  isi (cited: 9)  elib (cited: 2)  scopus (cited: 8)
50. A. N. Pechen, N. B. Il'in, “Existence of traps in the problem of maximizing quantum observable averages for a qubit at short times”, Proc. Steklov Inst. Math., 289 (2015), 213–220  mathnet  crossref  crossref  isi (cited: 9)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 5)
51. A. N. Pechen, N. B. Il'in, “On critical points of the objective functional for maximization of qubit observables”, Russian Math. Surveys, 70:4 (2015), 782–784  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  elib  scopus (cited: 5)
52. Sergei Dmitriev and Alexander Pechen, The professional growth and scientific career: is there a difference? (in Russian), The electronic journal Science and Technology in RUSSIA – STRF.ru, 2015, March 27
53. Alexander Pechen and Anna Gorbatova, The second annual Blavatnik Science Symposium took place on August 5th and 6th 2015 at the New York Academy of Sciences (USA), The electronic journal Science and Technology in RUSSIA - STRF.ru, 2015, August 10
54. J. Exp. Theor. Phys., 120:3 (2015), 436–443  mathnet  crossref  crossref  isi (cited: 7)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 5)
55. D. Gal'tsov, M. Khramtsov, D. Orlov, ““Triangular” extremal dilatonic dyons”, Phys. Lett. B, 2015, no. 743, 87–92 , arXiv: 1412.7709  crossref  isi (cited: 7)  scopus (cited: 8)
56. K. A. Lyakhov, K. H. Lee, “Some features of experimental setup design for isotopes separation by the laser assisted retardation of condensation method”, J. Laser Appl., 27:2 (2015), 022008  mathnet  crossref  isi (cited: 4)  scopus (cited: 4)
57. K. A. Lyakhov, H. J. Lee, “New Experimental Setup for Boron Isotopes Separation by the Laser Assisted Retardation of Condensation Method”, J. Nanoscience Nanotechnology, 15:11 (2015), 8502–8507  mathnet  crossref  isi (cited: 3)  scopus (cited: 3)
58. Ashot S. Avanesov, Vladimir I. Manko, “Classical and quantum correlations in the system of interacting electromagnetic modes”, Bulletin of the Lebedev Physics Institute, 42:9 (2015), 260-263  crossref
59. Ashot S. Avanesov, Vladimir I. Manko, “Unitary Transform and Subadditivity Condition for Composite and Noncomposite Systems”, Journal of Russian Laser Research, 36:5 (2015), 430-439  crossref

   2014
60. A. N. Pechen, D. J. Tannor, “Control of quantum transmission is trap-free”, Canadian Journal of Chemistry, 92:2 (2014), 157–159 , arXiv: 1403.5700  mathnet  crossref  isi (cited: 4)  scopus (cited: 4)
61. Alexander Pechen, Some topics in dynamics and control of quantum systems (in Russian), Presenter Yana Rozova. In the broadcast Moscow. Territory of science on radio station Echo of Moscow (broadcast is organized jointly with Department of Science, Industrial Policy and Entrepreneurship of Moscow), May 29, 2014
62. A. N. Pechen, N. B. Il'in, “Coherent control of a qubit is trap-free”, Proceedings of the Steklov Institute of Mathematics, 285 (2014), 233–240 , arXiv: 1407.5175  mathnet  crossref  crossref  isi (cited: 7)  elib  scopus (cited: 3)
63. 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  elib
64. O. V. Morzhin, “Nelokalnye uluchsheniya upravlenii v nelineinykh diskretnykh zadachakh optimalnogo upravleniya”, XII Vserossiiskoe soveschanie po problemam upravleniya, IPU RAN, Moskva, 2014, 650-658  elib
65. D. A. Kronberg, S. N. Molotkov, “Duality of quantum communication channels and a collective intercept-resend attack on quantum key distribution with differential phase shift”, JETP Letters, 100:4 (2014), 279–284  mathnet  crossref  crossref  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
66. D. A. Kronberg, S. N. Molotkov, “On a beam splitter attack and soft filtering of coherent states in differential phase shift quantum cryptography”, Journal of Experimental and Theoretical Physics, 118:1 (2014), 1–10  mathnet  crossref  crossref  isi (cited: 3)  scopus (cited: 2)
67. D. A. Kronberg, “A simple coherent attack and practical security of differential phase shift quantum cryptography”, Laser Physics, 24:2 (2014), 025202 , 4 pp.  mathnet  crossref  isi (cited: 2)  scopus (cited: 2)
68. A. M. Chebotarev, A. E. Teretenkov, “Singular value decomposition for the Takagi factorization of symmetric matrices”, Applied Mathematics and Computation (New York), 234 (2014), 380–384  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
69. D. S. Ageev, I. Ya. Aref'eva, “Holography and nonlocal operators for the BTZ black hole with nonzero angular momentum”, Theoret. and Math. Phys., 180:2 (2014), 881–893  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)

   2013
70. Alexander Pechen, The reforms, but not like these (in Russian), Electronic media Polit.ru, 2013, July 04
71. A.. N.. Pechen, N.. B.. Il'in, “Control of two-level quantum systems by measurements”, Trudy mezhdunarodnoi shkoly-konferentsii “Upravlenie i optimizatsiya negolonomnykh sistem” (Pereslavl Zalesskii, Rossiya, 10-13 iyulya 2013 g.), Universitet g. Pereslavlya, 2013, 49–50
72. A.N. Pechen, “Recent advances in the analysis of quantum control landscapes”, Trudy mezhdunarodnoi konferentsii “Matematicheskaya teoriya upravleniya i mekhanika” (Suzdal, Rossiya, 5–9 iyulya 2013 g.), MIAN, 2013, 276–277
73. A. N. Pechen, “Introduction to some topics in modern quantum control”, Trudy mezhdunarodnoi shkoly-konferentsii “Upravlenie i optimizatsiya negolonomnykh sistem” (Pereslavl-Zalesskii, Rossiya, 10–13 iyulya 2013 g.), Universitet goroda Pereslavlya, 2013, 22–24
74. A. N. Pechen, Nekotorye voprosy dinamiki i upravleniya kvantovymi sistemami, Diss. … dokt. fiz.-matem. nauk, Matematicheskii institut im. V.A. Steklova Rossiiskoi akademii nauk, Moskva, 2013 , 194 pp. www.mi.ras.ru/dis/ref13/pechen_diss_v2.pdf
75. 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  mathnet  crossref  isi (cited: 2)  scopus (cited: 2)
76. 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  mathnet
77. K. A. Lyakhov, H. J. Lee, “Basic features of boron isotope separation by SILARC method in the two-step iterative static model”, Appl. Phys. B, 111:2 (2013), 261–272  mathnet  crossref  isi (cited: 7)  scopus (cited: 7)
78. K. A. Lyakhov, H. J. Lee, “Two-step iterative static model for boron isotope separation”, Annals of Nuclear Energy, 54 (2013), 274–280  mathnet  crossref  isi (cited: 1)  scopus (cited: 1)
79. Ashot S. Avanesov, Vladimir I. Manko, “Wave function of classical particle in linear potential”, Journal of Russian Laser Research, 34:3 (2013), 239-246  crossref

   2012
80. X.-J. Feng, A. Pechen, A. Jha, R. Wu, H. Rabitz, “Global optimality of fitness landscapes in evolution”, Chemical Science, 3 (2012), 900–906 , Edge Article  mathnet  crossref  isi (cited: 4)  elib  scopus (cited: 4)
81. A. Pechen, “Quantum measurements as a control resource”, OSA Technical Digest (Berlin, Germany, March 19–21, 2012), Optical Society of America, 2012, QW2A.8 , arXiv: 1508.04249
82. A. Pechen, N. Il'in, “Trap-free manipulation in the Landau-Zener system”, Phys. Rev. A, 86 (2012), 052117 , 6 pp., arXiv: 1304.1357  mathnet  crossref  adsnasa  isi (cited: 12)  scopus (cited: 13)
83. A. Pechen, “Incoherent light as a control resource”, OSA Technical digest (Berlin, Germany, March 19–21, 2012), Optical Society of America, 2012, JT2A.23 , arXiv: 1212.2253
84. A. N. Pechen, D. J. Tannor, “Quantum control landscape for a Lambda-atom in the vicinity of second-order traps”, Israel Journal of Chemistry, 52:5 (2012), 467–472 , arXiv: 1508.04169  mathnet  crossref  isi (cited: 7)  scopus (cited: 8)
85. A. N. Pechen, D. J. Tannor, “Pechen and Tannor Reply”, Phys. Rev. Lett., 108 (2012), 198902 , 1 pp.  crossref
86. O. V. Morzhin, “Nonlocal improvement of controlling functions and parameters in nonlinear dynamical systems”, Autom. Remote Control, 73:11 (2012), 1822–1837  mathnet  crossref  zmath  isi (cited: 1)  scopus (cited: 1)
87. 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  elib
88. A. M. Chebotarev, A. E. Teretenkov, “Operator-Valued ODEs and Feynman's Formula”, Math. Notes, 92:6 (2012), 837–842  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  elib  scopus
89. Physics of Atomic Nuclei, 75:3 (2012), 371–392  mathnet  crossref  isi (cited: 4)  elib  elib  scopus (cited: 4)

   2011
90. K. W. Moore, A. Pechen, X.-J. Feng, J. Dominy, V. Beltrani, H. Rabitz, “Universal characteristics of chemical synthesis and property optimization”, Chemical Science, 2:3 (2011), 417–424 , Edge Article  crossref  isi (cited: 17)  elib (cited: 6)  scopus (cited: 17)
91. A. N. Pechen, D. J. Tannor, “Are there traps in quantum control landscapes?”, Phys. Rev. Lett., 106 (2011), 120402 , 3 pp., This paper has been selected for the Editor's choice section of Science magazine, vol. 332, p. 514 (29 April 2011): “Look Out for Traps”, by Jake S. Yeston, arXiv: 1508.05434  crossref  adsnasa  isi (cited: 42)  scopus (cited: 41)
92. K. W. Moore, A. Pechen, X.-J. Feng, J. Dominy, V.J. Beltrani, H. Rabitz, “Why is chemical synthesis and property optimization easier than expected?”, Physical Chemistry Chemical Physics, 13:21 (2011), 10048–10070 , Perspective article  crossref  isi (cited: 29)  scopus (cited: 30)
93. A. N. Pechen, “Some topics in dynamics and control of open quantum systems”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2(23) (2011), 155–161  mathnet  crossref  rsci
94. A. Pechen, “Engineering arbitrary pure and mixed quantum states”, Phys. Rev. A, 84:4 (2011), 042106 , 6 pp., arXiv: 1210.2281  crossref  adsnasa  isi (cited: 11)  scopus (cited: 15)
95. A. Pechen, “Selected topics in dynamics and control of open quantum systems”, P-Adic Numbers, Ultrametric Analysis and Applications, 3:3 (2011), 248–252  crossref  mathscinet
96. A. N. Pechen, “Critical points of objective functions for quantum control problems”, Tambov University Reports, 16:4 (2011), 1146–1148  elib

   2014
97. A. Pechen, H. Rabitz, “Incoherent control of open quantum systems”, Journal of Mathematical Sciences, 199:6 (2014), 695–701  mathnet  crossref  mathscinet  elib (cited: 1)  scopus (cited: 1)

   2011
98. A. I. Tyatyushkin, O. V. Morzhin, “Numerical investigation of attainability sets of nonlinear controlled differential systems”, Autom. Remote Control, 72:6 (2011), 1291–1300  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 4)
99. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 7)
100. 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  mathnet
101. O. V. Morzhin, “Computational aspects of nonlocal improvement for control in differential systems”, Program Systems: Theory and Applications, 2:2 (2011), 37–51  mathnet
102. 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  mathnet
103. 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.  elib
104. O. V. Morzhin, “Proektsionnye metody nelokalnogo uluchsheniya upravlyayuschikh funktsii i parametrov”, Vestnik Buryatskogo gosudarstvennogo universiteta. Matematika i informatika, 2011, no. 9, 31–35  elib
105. D. A. Kronberg, “Rasshirenie oblasti sekretnosti protokola kvantovogo raspredeleniya klyuchei s fazovo-vremennym kodirovaniem”, Sbornik statei molodykh uchenykh fakulteta VMK MGU, Izdatelskii otdel fakulteta VMK MGU, 2011, 69–82
106. D. A. Kronberg, Yu. I. Ozhigov, A. Yu. Chernyavskii, Kvantovaya kriptografiya, Maks Press, Moskva, 2011 , 112 pp. http://sqi.cs.msu.su/store/storage/ss8dw5n_quantum_cryptography.pdf
107. D. A. Kronberg, Yu. I. Ozhigov, A. Yu. Chernyavskii, Kvantovaya informatika i kvantovyi kompyuter, Maks Press, Moskva, 2011 , 68 pp. http://sqi.cs.msu.su/store/storage/th25kzj_quantum_computer.pdf
108. D. A. Kronberg, Yu. I. Ozhigov, A. Yu. Chernyavskii, Algebraicheskii apparat kvantovoi informatiki, Maks Press, Moskva, 2011 , 56 pp. http://sqi.cs.msu.su/store/storage/jpvtv20_algebraic_tools.pdf
109. K. A. Lyakhov, H.-J. Lee, I. N. Mishustin, “Baryon stopping and partonic plasma production by strong chromofields”, Physical Review C, 84 (2011), 055202  crossref  isi (cited: 1)  scopus (cited: 2)
110. K. A. Lyakhov, H.-J. Lee, “Baryon kinetic energy loss in the color flux tube model”, Physical Review C, 84 (2011), 055206  crossref  isi  scopus
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