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8 Gubkina St. Moscow,
119991, Russia
Tel.: +7(495) 984 81 41
Fax: +7(495) 984 81 39
Web site: www.mi-ras.ru
E-mail: steklov@mi.ras.ru

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Laboratory of Mathematical Methods of Quantum Technologies

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

Doctor Phys.-Math. Sci., Professor of RAS, Head of Laboratory
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
Kiktenko Evgeniy Olegovich

Candidate Phys.-Math. Sci., Scientific Researcher
e-mail: evgeniy.kiktenko@gmail.com
Kiktenko Evgeniy Olegovich
Kronberg Dmitry Anatolievich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
e-mail: dmitry.kronberg@gmail.com
Kronberg Dmitry Anatolievich
Lychkovskiy Oleg Valentinovich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
e-mail: O.Lychkovskiy@skoltech.ru
Lychkovskiy Oleg Valentinovich
Morzhin Oleg Vasil'evich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
e-mail: morzhin.oleg@yandex.ru
Morzhin Oleg Vasil'evich
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.
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.

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 Lychkovskiy, Decoherence at the level of eigenstates , arXiv: 1712.04384
2. Vera V. Vyborova, Oleg Lychkovskiy, Alexey N. Rubtsov, Signatures of phase separation in a system of one-dimensional spinless fermions , arXiv: 1712.03842
3. Oleg Lychkovskiy, A necessary condition for quantum adiabaticity applied to the adiabatic Grover search , arXiv: 1802.06011
4. Oleg Lychkovskiy, Oleksandr Gamayun, Vadim Cheianov, Breakdown of adiabaticity in a driven one-dimensional impurity-fluid system , arXiv: 1804.03726
5. N. Il`in, O. Lychkovskiy, Quantum speed limits for adiabatic evolution, Loschmidt echo and beyond , arXiv: 1805.04083

6. 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  isi  elib  scopus
7. N. B. Il'in, A. N. Pechen, Complex analysis, mathematical physics, and applications, Collected papers, Tr. Mat. Inst. Steklova, 301, MAIK Nauka/Interperiodica, Moscow, 2018 (to appear)  mathnet
8. O.V. Morzhin, “O nekotorykh geometricheskikh aspektakh v teorii kvantovykh ventilei”, Mater. V nauchnoi konf. s mezhdunar. uchastiem Geometriya mnogoobrazii i ee prilozheniya (Ulan-Ude – oz. Baikal, 3 – 6 iyulya 2018), Izd-vo Buryatskogo gos. un-ta, Ulan-Ude, 2018 (to appear)
9. Oleg V. Morzhin, Alexander N. Pechen, “Optimal quantum control and the Krotov method”, Proc. of the 14th IQSA Conference “Quantum Structures” (IQSA-2018) (July 15–20, 2018, Kazan, Russia), 2018 (to appear)
10. N. Il'in, E. Shpagina, F. Uskov, O. Lychkovskiy, “Squaring parametrization of constrained and unconstrained sets of quantum states”, J. Phys. A, 51 (2018), 85301 , 19 pp., arXiv: 1704.03861  mathnet  crossref  isi  scopus
11. Oleg Lychkovskiy, Oleksandr Gamayun, Vadim Cheianov, “Quantum many-body adiabaticity, topological Thouless pump and driven impurity in a one-dimensional quantum fluid”, AIP Conf. Proc., 1936, no. 1, 2018, 20024 , 6 pp., arXiv: 1711.05547  mathnet  crossref  isi  scopus (cited: 1)
12. Oleksandr Gamayun, Oleg Lychkovskiy, Evgeni Burovski, Matthew Malcomson, Vadim V. Cheianov, Mikhail B. Zvonarev, “Impact of the Injection Protocol on an Impuritys Stationary State”, Phys. Rev. Lett., 120 (2018), 220605 , 6 pp.  mathnet  crossref  isi  scopus
13. A. S. Trushechkin, P. A. Tregubov, E. O. Kiktenko, Yu. V. Kurochkin, A. K. Fedorov, “Quantum-key-distribution protocol with pseudorandom bases”, Phys. Rev. A, 2018:1 (2018), 12311 , 15 pp., arXiv: 1706.00611  mathnet  crossref  isi (cited: 1)  scopus (cited: 1)
14. A. V. Duplinskiy, E. O. Kiktenko, N. O. Pozhar, M. N. Anufriev, R. P. Ermakov, A. I. Kotov, A. V. Brodskiy, R. R. Yunusov, V. L. Kurochkin, A. K. Fedorov, “Quantum-Secured Data Transmission in Urban Fiber-Optics Communication Lines”, J. Russian Laser Research, 39:2 (2018), 113–119 , arXiv: 1712.09831  mathnet  crossref  adsnasa  isi  scopus
15. E. O. Kiktenko, N. O. Pozhar, M. N. Anufriev, A. S. Trushechkin, R. R. Yunusov, Yu. V. Kurochkin, A. I. Lvovsky, A. K. Fedorov, “Quantum-secured blockchain”, Quantum Sci. Technol., 3:3 (2018), 35004 , 8 pp., arXiv: 1705.09258  mathnet  crossref  isi

16. 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  isi (cited: 2)  scopus (cited: 2)
17. 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: 2)  scopus (cited: 2)
18. 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
19. 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
20. 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
21. O.V. Morzhin, “Nonlocal Improvement of Controls in Nonlinear Discrete Systems”, Izv. Irkutsk. Gos. Univ., Ser. Mat., 19:1 (2017), 150–163  mathnet  mathnet  crossref  zmath  elib
22. Oleg Lychkovskiy, Oleksandr Gamayun, Vadim Cheianov, “Time scale for adiabaticity breakdown in driven many-body systems and orthogonality catastrophe”, Phys. Rev. Lett., 119 (2017), 200401 , 6 pp., arXiv: 1611.00663  mathnet  crossref  isi  scopus (cited: 1)
23. 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  elib  scopus
24. 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  elib
25. A. S. Trushechkin, P. A. Tregubov, E. O. Kiktenko, Y. V. Kurochkin, A. K. Fedorov, Quantum key distribution protocol with pseudorandom bases, 2017 , 16 pp., arXiv: 1706.00611
26. E. O. Kiktenko, N. O. Pozhar, A. V. Duplinskiy, A. A. Kanapin, A. S. Sokolov, S. S. Vorobey, A. V. Miller, V. E. Ustimchik, M. N. Anufriev, A. S. Trushechkin, R. R. Yunusov, V. L. Kurochkin, Y. V. Kurochkin, A. K. Fedorov, Demonstration of a quantum key distribution network across urban fiber channels, 2017 , 5 pp., arXiv: 1705.07154
27. E. O. Kiktenko, A. S. Trushechkin, A. K. Fedorov, Symmetric blind information reconciliation and hash-function-based verification for quantum key distribution, 2017 , 4 pp., arXiv: 1705.06664
28. A. S. Trushechkin, E. O. Kiktenko, A. K. Fedorov, “Practical issues in decoy-state quantum key distribution based on the central limit theorem”, Phys. Rev. A, 96:2 (2017) , 7 pp., arXiv: 1702.08531  mathnet  crossref  isi (cited: 3)
29. E. O. Kiktenko, N. O. Pozhar, A. V. Duplinskiy, A. A. Kanapin, A. S. Sokolov, S. S. Vorobey, A. V. Miller, V. E. Ustimchik, M. N. Anufriev, A. S. Trushechkin, R. R. Yunusov, V. L. Kurochkin, Yu. V. Kurochkin, A. K. Fedorov, “Demonstration of a quantum key distribution network in urban fibre-optic communication lines”, Quantum Electron., 47:9 (2017), 798–802  mathnet  crossref  isi (cited: 4)  elib  scopus (cited: 2)
30. E. O. Kiktenko, A. S. Trushechkin, S. S. W. Lim, Y. V. Kurochkin, A. K. Fedorov, “Symmetric blind information reconciliation for quantum key distribution”, Physical Review Applied, 8 (2017), 44017 , 12 pp.  mathnet  crossref  isi (cited: 4)  scopus (cited: 3)
31. S. V. Rozanov, E. O. Kiktenko, “Approximation of mutual information in a bipartite quantum state under single-party decoherence”, JPCS, 918 (2017), 12006 , 4 pp.  mathnet  crossref  isi  scopus
32. E. O. Kiktenko, N. A. Afonkina, B. G. Skuibin, “Discussion of the Role of Quantum Information in the Framework of Laboratory Practice on Classical Optics”, Phisics in Higher Education, 23:4 (2017), 85–94  mathnet  elib
33. A. A. Koziy, I. I. Minchenko, M. G. Komarova, E. O. Kiktenko, “Study of probable and quasi-probable distributions with the help of specialized software”, Meždunar. nauč.-issled. žurn., 2017, no. 6-3(60), 72–81  mathnet  crossref  elib

34. 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
35. 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)
36. 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: 2)  elib  elib  scopus (cited: 2)
37. 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  elib  scopus
38. 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: 1)  scopus (cited: 1)
39. 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
40. 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
41. O. Lychkovskiy, “Large quantum superpositions of a nanoparticle immersed in superfluid helium”, Phys. Rev. B, 93 (2016), 214517 , 4 pp.  mathnet  crossref  isi  scopus
42. Evgeny Kiktenko, Anton Trushechkin, Yury Kurochkin, Aleksey Fedorov, “Post-processing procedure for industrial quantum key distribution systems”, JPCS, 741:1 (2016), 12081 , 6 pp.  mathnet  crossref  isi (cited: 9)  elib  scopus (cited: 8)
43. E. O. Kiktenko, A. A. Popov, A. K. Fedorov, “Document Bidirectional imperfect quantum teleportation with a single Bell state”, Phys. Rev. A, 93:6 (2016), 62305 , 8 pp., arXiv: quant-ph/1602.01420  mathnet  crossref  isi (cited: 3)  scopus (cited: 4)
44. Aleksey Popov, Evgeny Kiktenko, Aleksey Fedorov, Vladimir I. Man'ko, “Information Processing Using Three-Qubit and QubitQutrit Encodings of Noncomposite Quantum Systems”, J. Russian Laser Research, 37:6 (2016), 581–590 , arXiv: quant-ph/1610.05576  mathnet  crossref  isi (cited: 2)  scopus (cited: 1)

45. A. N. Pechen, A. S. Trushechkin, “Measurement-assisted Landau-Zener transitions”, Phys. Rev. A, 91:5 (2015), 052316 , 15 pp., arXiv: 1506.08323  mathnet  crossref  isi (cited: 7)  elib (cited: 2)  scopus (cited: 6)
46. 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: 7)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 5)
47. 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: 6)  elib  scopus (cited: 5)
48. 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
49. 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
50. O. Lychkovskiy, “Perpetual motion and driven dynamics of a mobile impurity in a quantum fluid”, Phys. Rev. A, 91 (2015), 040101 , 6 pp.  mathnet  crossref  isi (cited: 3)  scopus (cited: 7)
51. O. Gamayun, O. Lychkovskiy, V. Cheianov, “Reply to Comment on Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas”, Phys. Rev. E, 92 (2015), 016102 , 2 pp.  mathnet  crossref  isi (cited: 1)  scopus (cited: 2)
52. S. M. Korotaev, E. O. Kiktenko, “Quantum causality in closed timelike curves”, Physica Scripta, 90 (2015), 085101 , 14 pp.  mathnet  crossref  isi  scopus
53. S. M. Korotaev, N. M. Budnev, V. O. Serdyuk, V. L. Zurbanov, R. R. Mirgazov, V. A. Machinin, E. O. Kiktenko, V. B. Buzin, A. V. Novysh, I. A. Portyanskaya, “Results of vertical electric field monitoring in Lake Baikal”, Izvestiya, Physics of the Solid Earth, 51:4 (2015), 602–611  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus (cited: 1)
54. E. O. Kiktenko, A. K. Fedorov, A. A. Strakhov, V. I. Man'ko, “Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits”, Physics Letters A, 379:22-23 (2015), 1409–1413 , arXiv: quant-ph/1503.01583  mathnet  crossref  zmath  isi (cited: 29)  scopus (cited: 30)
55. S. M. Korotaev N. M. Budnev V. O. Serdyuk V. L. Zurbanov R. R. Mirgazov V. S. Shneer V. A. Machinin E. O. Kiktenko V. B. Buzin A. I. Panfilov, “Recent results of monitoring of the vertical component of the electrical field in Lake Baikal on the surface-bed baseline”, Geomagnetism and Aeronomy, 55:3 (2015), 398–409  mathnet  crossref  isi (cited: 1)  scopus (cited: 1)
56. A. K. Fedorov, E. O. Kiktenko, O. V. Man'ko, V. I. Man'ko, “Tomographic discord for a system of two coupled nanoelectric circuits”, Physica Scripta, 90:5 (2015), 055101 , arXiv: quant-ph/1409.5265  mathnet  crossref  isi (cited: 8)  scopus (cited: 8)
57. E. O. Kiktenko, A. K. Fedorov, O. V. Man'ko, V. I. Man'ko, “Multilevel superconducting circuits as two-qubit systems: Operations, state preparation, and entropic inequalities”, Physical Review A - Atomic, Molecular, and Optical Physics, 91 (2015), 042312 , 7 pp.  mathnet  crossref  isi (cited: 21)  scopus (cited: 34)
58. A. Fedorov, E. Kiktenko, “Mutual information-energy inequality for thermal states of a bipartite quantum system”, Journal of Physics: Conference Series, 594 (2015), 012045 , 5 pp.  mathnet  crossref  isi  scopus

59. 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: 3)  scopus (cited: 3)
60. 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
61. 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: 6)  elib  scopus (cited: 3)
62. 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
63. 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
64. O. Gamayun, O. Lychkovskiy, V. Cheianov, “Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas”, Phys. Rev. E, 90 (2014), 032132 , 12 pp.  mathnet  crossref  isi (cited: 13)  scopus (cited: 18)
65. E. Burovski, V. Cheianov, O. Gamayun, O. Lychkovskiy, “Momentum relaxation of a mobile impurity in a one-dimensional quantum gas”, Phys. Rev. A, 89 (2014), 041601 , 5 pp.  mathnet  crossref  isi (cited: 13)  scopus (cited: 17)  scopus (cited: 17)
66. O. Lychkovskiy, “Perpetual motion of a mobile impurity in a one-dimensional quantum gas”, Phys. Rev. A, 89 (2014), 033619 , 5 pp.  mathnet  crossref  isi (cited: 9)  scopus (cited: 12)
67. 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: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
68. 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: 2)  scopus (cited: 1)
69. 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  scopus
70. Kiktenko E.O, Fedorov A.K, “Tomographic causal analysis of two-qubit states and tomographic discord”, Physics Letters, Section A: General, Atomic and Solid State Physics, 378:24–25 (2014), 1704–1710  mathnet  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 5)
71. Kiktenko E.O., Korotaev S.M., “Causality in different formalisms of quantum teleportation treatment”, Physics Essays, 27:4 (2014), 548–553  mathnet  crossref  scopus (cited: 1)

72. Alexander Pechen, The reforms, but not like these (in Russian), Electronic media Polit.ru, 2013, July 04
73. 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
74. 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
75. 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
76. 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
77. 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)
78. 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
79. E. Safonov, O. Lychkovskiy, “Spin dynamics in finite cyclic XY model”, Phys. Rev. A, 87 (2013), 042105 , 19 pp.  mathnet  crossref  isi (cited: 3)  scopus (cited: 3)
80. O. Lychkovskiy, “Dependence of decoherence-assisted classicality on the way a system is partitioned into subsystems”, Phys. Rev. A, 87 (2013), 022112 , 7 pp.  mathnet  crossref  isi (cited: 6)  scopus (cited: 13)
81. Fedorov A.K., Kiktenko E.O., “Quaternion Representation and Symplectic Spin Tomography”, Journal of Russian Laser Research, 34:5 (2013), 477–487  mathnet  crossref  isi (cited: 3)  scopus (cited: 3)
82. Kiktenko E.O., Korotaev S.M., “Entanglement and causality in the interaction of the two-level atom with the field”, Physica Scripta, 88:5 (2013), 055008  mathnet  crossref  isi (cited: 4)  scopus (cited: 4)
83. Korotaev S.M., Kiktenko E.O., Gaidash S.P., Budnev N.M., Mirgazov R.R., Panfilov A.I., Khalezov A.A., Serdyuk V.O., Shneer V.S., “Relationship between variations in the electric field's vertical component in Lake Baikal and solar activity”, Geomagnetism and Aeronomy, 53:6 (2013), 769–773  mathnet  crossref  crossref  isi (cited: 3)  scopus (cited: 3)

84. 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: 2)  elib  scopus (cited: 2)
85. 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
86. 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: 10)  scopus (cited: 11)
87. 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
88. 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: 6)  scopus (cited: 7)
89. A. N. Pechen, D. J. Tannor, “Pechen and Tannor Reply”, Phys. Rev. Lett., 108 (2012), 198902 , 1 pp.  crossref
90. 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)
91. O. V. Morzhin, “Metody nelokalnogo uluchsheniya upravlenii v nelineinykh dinamicheskikh sistemakh”, Mater. konf. “Upravlenie v tekhnicheskikh, ergaticheskikh, organizatsionnykh i setevykh sistemakh” / Pod red. S.N. Vasileva, I.A. Kalyaeva, D.A. Novikova, G.G. Sebryakova, TsNII “Elektropribor”, Sankt-Peterburg, 2012, 183  elib
92. B. Leggio, O. Lychkovskiy, A. Messina, “On the merit of a Central Limit Theorem-based approximation in statistical physics”, J. Stat. Phys., 146 (2012), 1274–1287  mathnet  crossref  mathscinet  zmath  isi  scopus
93. J. Exp. Theor. Phys., 114:3 (2012), 382–391  mathnet  crossref  isi  scopus
94. Korotaev S.M., Kiktenko E.O., “Causality and decoherence in the asymmetric states”, Physica Scripta, 85:5 (2012), 055006  mathnet  crossref  isi (cited: 4)  scopus (cited: 7)
95. Kiktenko E.O., Korotaev S.M., “Causal analysis of asymmetric entangled states under decoherence”, Physics Letters, Section A: General, Atomic and Solid State Physics, 376:6–7 (2012), 820–823  mathnet  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 7)

96. 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: 16)  elib (cited: 6)  scopus (cited: 16)
97. 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: 40)  scopus (cited: 39)
98. 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: 27)  scopus (cited: 28)
99. 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
100. 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: 10)  scopus (cited: 13)
101. 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
102. A. N. Pechen, “Critical points of objective functions for quantum control problems”, Tambov University Reports, 16:4 (2011), 1146–1148  elib

103. 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)

104. 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)
105. 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)
106. 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
107. O. V. Morzhin, “Computational aspects of nonlocal improvement for control in differential systems”, Program Systems: Theory and Applications, 2:2 (2011), 37–51  mathnet
108. 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
109. 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
110. O.V. Morzhin, “Proektsionnye metody nelokalnogo uluchsheniya upravlyayuschikh funktsii i parametrov”, Vestnik Buryatskogo gosudarstvennogo universiteta. Matematika i informatika, 2011, no. 9, 31-35  elib
111. O. Lychkovskiy, “Entanglement and Relaxation in Exactly Solvable Models”, Optics and Spectroscopy, 111 (2011), 713–721  crossref  isi  scopus
112. O. Lychkovskiy, “Entanglement, decoherence and thermal relaxation in exactly solvable models”, J. Phys. Conf. Ser., 306 (2011), 012028 , 7 pp.  crossref  isi (cited: 2)  scopus (cited: 2)
113. 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
114. 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
115. 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
116. 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
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