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Department of Mathematical Methods for Quantum Technologies

| Twitter | 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
Ageev Dmitrii Sergeevich
Ermakov Igor Vladimirovich

Junior Researcher
e-mail: Igor.Ermakov@skoltech.ru
Ermakov Igor Vladimirovich
Filippov Sergey Nikolaevich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
e-mail: filippovsn@gmail.com
Personal page: http://filippovsn.fizteh.ru
Filippov  Sergey  Nikolaevich
Khramtsov Mikhail Alexandrovich

Junior Scientific Researcher
e-mail: khramtsov@mi-ras.ru
Khramtsov Mikhail Alexandrovich
Kiktenko Evgeniy Olegovich

Candidate Phys.-Math. Sci., Senior 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
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
Teretenkov Aleksandr Evgen'evich
Tikhanovskaya Mariya Dmitrievna

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

Junior Researcher
e-mail: avanesov@phystech.edu
Avanesov Ashot Sergeevich
Mokeev Aleksandr Sergeevich

Junior Researcher
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Twitter
https://twitter.com/QuantumSteklov
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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.
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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. O. Morzhin, A. N. Pechen, Uspekhi Mat. Nauk (to appear)  mathnet
2. D. S. Ageev, I. Ya. Aref'eva, A. Lysukhina, “On the wormholes in JT gravity”, TMF (to appear)  mathnet

   2019
3. O. V. Morzhin, A. N. Pechen, “Minimal Time Generation of Density Matrices for a Two-Level Quantum System Driven by Coherent and Incoherent Controls”, International Journal of Theoretical Physics, 2019  crossref  scopus
4. Gerard McCaul, Alexander Pechen, and Denys I. Bondar, “Entropy nonconservation and boundary conditions for Hamiltonian dynamical systems”, Phys. Rev. E, 99 (2019), 062121 , arXiv: 1904.03473  crossref
5. O. V. Morzhin, A. N. Pechen, “Time Optimal Coherent and Incoherent Control of Two–Level Open Quantum Systems”, Abstracts of The First International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis” (MIPT, Dolgoprudny, Russia, June 17–21, 2019), 2019, p. 63 (ISBN 978-5-6041187-4-0)
6. A. E. Teretenkov, “Moments evolution for quadratic GKSL generators”, Mat. Zametki, 106:1 (2019), 149–153 (to appear)  mathnet
7. A. E. Teretenkov, “Pseudomode approach and vibronic non-Markovian phenomena in light harvesting complexes”, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Tr. Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019 (to appear)  mathnet
8. I. A. Luchnikov, S. V. Vintskevich, H. Ouerdane, S. N. Filippov, “Simulation Complexity of Open Quantum Dynamics: Connection with Tensor Networks”, Phys. Rev. Lett., 122:16 (2019), 160401 , 7 pp., arXiv: 1812.00043  mathnet  crossref  adsnasa  isi  scopus (cited: 1)
9. S. Filippov, “Quantum Sinkhorns theorem: Applications in entanglement dynamics, channel capacities, and compatibility theory”, Mathematical Aspects in Current Quantum Information Theory 2019 (MAQIT 2019) (Seoul, Korea, May 20-24, 2019), Seoul National University, 2019, 7–8
10. Sergey N. Filippov, Ksenia V. Kuzhamuratova, “Quantum informational properties of the Landau–Streater channel”, J. Math. Phys., 60:4 (2019), 42202 , 16 pp., arXiv: 1803.02572  mathnet  crossref  adsnasa  isi  scopus
11. S. N. Filippov, “Complete positivity and positivity of quantum dynamical maps under time deformations”, The first international conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”. Book of Abstracts, ISBN 9785604118740 (Dolgoprudny, Russia, 17–21 June, 2019), Moscow Institute of Physics and Technology, 2019, 29
12. G. N. Semin, S. N. Filippov, A. N. Pechen, “Comparison of the low density limit and collision model for open quantum dynamics”, The first international conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”. Book of Abstracts, ISBN 9785604118740 (Dolgoprudny, Russia, 17–21 June, 2019), Moscow Institute of Physics and Technology, 2019, 80
13. A. N. Glinov, S. N. Filippov, “Quantitative description of correlations accompanying non-Markovian quantum dynamics under mixing of Markovian processes”, The first international conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”. Book of Abstracts, ISBN 9785604118740 (Dolgoprudny, Russia, 17–21 June, 2019), Moscow Institute of Physics and Technology, 2019, 31
14. 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  isi  scopus
15. I. Aref`eva, M. Khramtsov, I. Volovich, Revealing nonperturbative effects in the SYK model, 2019 , 29 pp., arXiv: 1905.04203
16. A. A. Zhukov, E. O. Kiktenko, A. A. Elistratov, W. V. Pogosov, Yu. E. Lozovik, “Quantum communication protocols as a benchmark for programmable quantum computers”, Quantum Inf. Process., 18:1 (2019), 31–23 , arXiv: 1812.00587  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   2018
17. 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
18. 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  elib  elib  scopus
19. 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 (cited: 1)
20. 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 (cited: 1)
21. 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  mathscinet
22. 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  mathscinet
23. Oleg Morzhin, Alexander Pechen, Krotov method in optimal quantum control. I. Closed systems, 2018 , arXiv: 1809.09562
24. 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
25. S. N. Filippov, “Quantum dynamics induced by selective measurements”, Mikro- i nanoelektronika - 2018: Trudy mezhdunarodnoi konferentsii (g. Zvenigorod, 1-5 oktyabrya g. 2018), eds. V.F. Lukichev, K.V. Rudenko, MAKS Press, Moskva, 2018, 152
26. S. N. Filippov, “Implications of quantum Sinkhorns theorem”, 14th Biennial IQSA Conference “Quantum Structures 2018”. Conference booklet (July 16–20, 2018, Kazan, Russia), Kazan Federal University, 2018, 26–27
27. S. N. Filippov, “Quantum Sinkhorns theorem and quantum communication”, 50th Symposium on Mathematical Physics. Book of abstracts (June 21–24, 2018, Torun, Poland), Nicolaus Copernicus University, 2018, 20
28. S. N. Filippov, “Tenzornye proizvedeniya kvantovykh otobrazhenii”, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 151 (2018), 117–125  mathnet  mathscinet
29. S. N. Filippov, K. Yu. Magadov, “Spin polarization-scaling quantum maps and channels”, Lobachevskii J. Math., 39:1 (2018), 65–70  mathnet  crossref  isi (cited: 2)  scopus (cited: 2)
30. Sergey N. Filippov, Vladimir V. Frizen, Daria V. Kolobova, “Ultimate entanglement robustness of two-qubit states against general local noises”, Phys. Rev. A, 97 (2018), 12322 , 9 pp., arXiv: 1708.08208  mathnet  crossref  adsnasa  isi (cited: 5)  scopus (cited: 4)
31. Sergey N. Filippov, Teiko Heinosaari, Leevi Leppäjärvi, “Simulability of observables in general probabilistic theories”, Phys. Rev. A, 97 (2018), 62102 , 19 pp., arXiv: 1803.11006  mathnet  crossref  adsnasa  isi  scopus (cited: 1)
32. Sergey N. Filippov, Dariusz Chruscinski, “Time deformations of master equations”, Phys. Rev. A, 98 (2018), 22123 , 6 pp., arXiv: 1803.09980  mathnet  crossref  adsnasa  isi  scopus
33. Sergey N. Filippov, “Lower and upper bounds on nonunital qubit channel capacities”, Rep. Math. Phys., 82:2 (2018), 149–159 , arXiv: 1802.00646  mathnet  crossref  adsnasa  scopus
34. G. N. Semin, S. N. Filippov, A. N. Pechen, “Sravnenie modeli stolknovenii i predela nizkoi plotnosti dlya dinamiki otkrytykh kvantovykh sistem”, Trudy 61-i Vserossiiskoi nauchnoi konferentsii MFTI. 19–25 noyabrya 2018 goda. Fundamentalnaya i prikladnaya fizika, ISBN 978-5-7417-0687-9 (Moskva – Dolgoprudnyi – Zhukovskii, 19–25 noyabrya 2018 g.), MFTI, 2018, 350–352
35. S. N. Filippov, “Evaluation of non-unital qubit channel capacities”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 160, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2018, 258–265  mathnet  isi  elib
36. A. N. Glinov, S. N. Filippov, “Kolichestvennoe opisanie korrelyatsii, soprovozhdayuschikh nemarkovskuyu kvantovuyu dinamiku pri smeshivanii markovskikh protsessov”, Trudy 61-i Vserossiiskoi nauchnoi konferentsii MFTI. 1925 noyabrya 2018 goda. Fundamentalnaya i prikladnaya fizika, ISBN 978-5-7417-0687-9 (Moskva – Dolgoprudnyi – Zhukovskii, 19–25 noyabrya 2018 g.), MFTI, 2018, 347–349
37. S. V. Vintskevich, S. N. Filippov, “Vliyanie svoistv neklassicheskogo smeshannogo sostoyaniya nakachki na svoistva zaputannosti fotonov v protsesse parametricheskoi generatsii”, ISBN 978-5-7417-0687-9, Trudy 61-i Vserossiiskoi nauchnoi konferentsii MFTI. 1925 noyabrya 2018 goda. Fundamentalnaya i prikladnaya fizika (Moskva – Dolgoprudnyi – Zhukovskii, 19–25 noyabrya 2018 g.), MFTI, 2018, 352
38. 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: 6)  scopus (cited: 3)
39. 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)
40. 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, 06006 , 8pp pp.  mathnet  scopus
41. 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: 8)  scopus (cited: 9)
42. 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
43. 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
44. I. Aref`eva, M. Khramtsov, M. Tikhanovskaya and I. Volovich, Replica-nondiagonal solutions in the SYK model, 2018 , 55 pp., arXiv: 1811.04831
45. 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  mathscinet  isi (cited: 2)  scopus (cited: 2)
46. 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 (cited: 2)  scopus (cited: 2)
47. 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 (cited: 11)  scopus (cited: 10)
48. E. O. Kiktenko, “Asymmetry of Locally Available and Locally Transmitted Information in Thermal Two-Qubit States”, Quantum probability, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 151, VINITI, Moscow, 2018, 45–61  mathnet  mathscinet
49. A. K. Fedorov, E. O. Kiktenko, A. S. Trushechkin, “Symmetric Blind Information Reconciliation and Hash-function-based Verification for Quantum Key Distribution”, Lobachevskii J. Math., 39:7 (2018), 992–996 , arXiv: 1705.06664  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 2)
50. Alexey K. Fedorov, Evgeniy O. Kiktenko, Alexander I. Lvovsky, “Quantum computers put blockchain security at risk”, Nature, 563 (2018), 465–467  mathnet  crossref  mathscinet  isi  scopus
51. E. O. Kiktenko, A. O. Malyshev, A. A. Bozhedarov, N. O. Pozhar, M. N. Anufriev, A. K. Fedorov, “Error Estimation at the Information Reconciliation Stage of Quantum Key Distribution”, J. Russian Laser Research, 39:6 (2018), 558–567 , arXiv: 1810.05841  mathnet  crossref  mathscinet  adsnasa  isi (cited: 1)  scopus (cited: 2)
52. S. Korotaev, N. Budnev, V. Serdyuk, E. Kiktenko, J. Gorohov, V. Zurbanov, “Macroscopic entanglement and time reversal causality by data of the Baikal Experiment”, JPCS, 1051 (2018), 12019 , 12 pp.  mathnet  crossref  scopus
53. Igor Ermakov, Tim Byrnes, Nikolay Bogoliubov, “High-accuracy energy formulas for the attractive two-site Bose–Hubbard model”, Phys. Rev. A, 97:2 (2018), 023626 , 11 pp., arXiv: 1708.08696  mathnet  crossref  isi  scopus

   2017
54. 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)
55. 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: 8)
56. 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  mathscinet
57. 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  mathscinet
58. 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
59. 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)
60. 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
61. Math. Notes, 101:2 (2017), 341–351  mathnet  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)
62. 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)
63. 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)
64. S. N. Filippov, “Quantum mappings and characterization of entangled quantum states”, Quantum computing, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 138, VINITI, Moscow, 2017, 99–124  mathnet  mathscinet
65. Grigori G. Amosov, Sergey N. Filippov, “Spectral properties of reduced fermionic density operators and parity superselection rule”, Quantum Inf. Process., 16:1 (2017), 2 , 16 pp.  mathnet  crossref  mathscinet  isi (cited: 4)  scopus (cited: 8)
66. S. N. Filippov, “Ultimate entanglement robustness against general local noises”, Book of abstracts. XV International Conference on Quantum Optics and Quantum Information (November 20–23, 2017, Minsk, Belarus), B. I. Stepanov Institute of Physics, 2017, 73-74
67. S. N. Filippov, “Ultimate completely positive divisibility and eternal indivisibility of dynamical maps in collisional models”, 24th Central European Workshop on Quantum Optics. Book of abstracts (26–30 June, 2017, Lyngby, Denmark), Technical University of Denmark, 2017, 97
68. D. V. Kolobova, V. V. Frizen, S. N. Filippov, “Dekompozitsiya neunitalnykh kubitnykh kanalov i ustoichivost dvukhkubitnykh stseplennykh sostoyanii”, Mezhdunarodnaya matematicheskaya konferentsiya po teorii funktsii, posvyaschënnaya 100-letiyu chl.-korr. AN SSSR A.F. Leonteva: sbornik tezisov (g. Ufa, 24–27 maya 2017 g.), eds. R. N. Garifullin, RITs BashGU, Ufa, 2017, 87–88
69. S. N. Filippov, “Ultimate completely positive divisibility of dynamical maps”, International Mathematical Conference on Function Theory dedicated to the centenary of Corresponding member of USSR Academy of Sciences A.F. Leontev. Book of Abstracts, ISBN 978-5-7477-4392-2 (Ufa, May 24–27, 2017), RITS BashSU, Ufa, 2017, 182–183
70. Sergey N. Filippov, “Quantum dynamics intervened by repeated nonselective measurements”, Int. J. Quantum Inf., 15:8 (2017), 1740027 , 10 pp., arXiv: 1801.05160  mathnet  crossref  adsnasa  isi
71. S. N. Filippov, J. Piilo, S. Maniscalco, M. Ziman, “Divisibility of quantum dynamical maps and collision models”, Phys. Rev. A, 95 (2017), 32111 , 13 pp., arXiv: 1708.04994  mathnet  crossref  adsnasa  isi (cited: 11)  scopus (cited: 13)
72. S. N. Filippov, K. Yu. Magadov, M. A. Jivulescu, “Absolutely separating quantum maps and channels”, New J. Phys., 19 (2017), 83010 , 19 pp., arXiv: 1703.00344  mathnet  crossref  adsnasa  isi (cited: 5)  scopus (cited: 4)
73. Sergey N. Filippov, Teiko Heinosaari, Leevi Leppäjärvi, “Necessary condition for incompatibility of observables in general probabilistic theories”, Phys. Rev. A, 95 (2017), 32127 , 8 pp., arXiv: 1609.08416  mathnet  crossref  adsnasa  isi (cited: 2)  scopus (cited: 2)
74. I. A. Luchnikov, S. N. Filippov, “Quantum evolution in the stroboscopic limit of repeated measurements”, Phys. Rev. A, 95 (2017), 22113 , 9 pp., arXiv: 1609.05501  mathnet  crossref  adsnasa  isi (cited: 7)  scopus (cited: 7)
75. Fabio Benatti, Dariusz Chruściński, Sergey Filippov, “Tensor power of dynamical maps and positive versus completely positive divisibility”, Phys. Rev. A, 95 (2017), 12112 , 5 pp., arXiv: 1610.04634  mathnet  crossref  adsnasa  isi (cited: 8)  scopus (cited: 7)
76. Sergey N. Filippov, Kamil Yu. Magadov, “Positive tensor products of qubit maps and n-tensor-stable positive qubit maps”, J. Phys. A, 50 (2017), 55301 , 21 pp., arXiv: 1604.01716  mathnet  crossref  adsnasa  isi (cited: 8)  scopus (cited: 7)
77. 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: 4)  elib  scopus (cited: 3)
78. 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: 10)  scopus (cited: 11)
79. 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: 5)
80. 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 , arXiv: 1705.07154  mathnet  crossref  isi (cited: 7)  elib  scopus (cited: 6)
81. 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., arXiv: 1705.06664  mathnet  crossref  isi (cited: 10)  scopus (cited: 10)
82. 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
83. 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
84. 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
85. 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
86. N. M. Bogolyubov, I. Ermakov, A. Rybin, “Time evolution of the atomic inversion for the generalized Tavis–Cummings model–QIM approach”, Phys. Rev. A, 50:46 (2017), 464003 , 24 pp., arXiv: 1702.03740  mathnet  crossref  isi (cited: 1)  scopus (cited: 1)
87. Chandrashekar Radhakrishnan, Igor Ermakov, Tim Byrnes, “Quantum coherence of planar spin models with Dzyaloshinsky–Moriya interaction”, Phys. Rev. A, 96:1 (2017), 012341 , 11 pp., arXiv: 1707.03545  mathnet  crossref  isi (cited: 14)  scopus (cited: 14)

   2016
88. 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)
89. 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)
90. 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
91. 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)
92. 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
93. 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
94. 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
95. S. N. Filippov, “Neunitarnye otobrazheniya i selektivnye izmereniya v kvantovoi tomografii”, 59-ya Vserossiiskaya nauchnaya konferentsiya MFTI s mezhdunarodnym uchastiem (Dolgoprudnyi - Moskva, 21-26 noyabrya 2016 g.), 2016 http://conf59.mipt.ru/static/reports_pdf/2873.pdf
96. D. V. Kolobova, S. N. Filippov, “Dekompozitsiya neunitalnykh kubitnykh kanalov”, 59-ya Vserossiiskaya nauchnaya konferentsiya MFTI s mezhdunarodnym uchastiem (Dolgoprudnyi - Moskva, 21-26 noyabrya 2016 g.), 2016 http://conf59.mipt.ru/static/reports_pdf/2095.pdf
97. V. V. Frizen, S. N. Filippov, “Dvukhkubitnye pereputannye sostoyaniya, naibolee ustoichivye k shumam v kvantovykh kanalakh s zatukhaniem amplitudy”, 59-ya Vserossiiskaya nauchnaya konferentsiya MFTI s mezhdunarodnym uchastiem (Dolgoprudnyi - Moskva, 21-26 noyabrya 2016 g.), 2016 http://conf59.mipt.ru/static/reports_pdf/1613.pdf
98. S. N. Filippov, “Non-linear quantum dynamics induced by measurements”, Ufa International Mathematical Conference. Book of Abstracts (September 27-30, 2016, Ufa, Russia), RITS BashSU, Ufa, 2016, 170–171
99. S. N. Filippov, K. Yu. Magadov, “2- and 3-tensor-stable positive qubit maps”, Materialy mezhdunarodnoi konferentsii po algebre, analizu i geometrii (Kazan, 26 iyunya – 2 iyulya 2016 g.), Kazanskii universitet, izd-vo Akademii nauk RT, Kazan, 2016, 45–47
100. I. A. Luchnikov, S. N. Filippov, “Non-linear dynamics induced by successive rank-r selective measurements”, 48 Symposium on Mathematical Physics “Gorini-Kossakowski-Lindblad-Sudarshan Master Equation - 40 Years After” (Toruń, Poland, June 10-12, 2016), 2016 http://www.fizyka.umk.pl/smp/smp48/BofA48.pdf
101. S. N. Filippov, “Spectral properties of reduced fermionic density operators and parity superselection rule”, Conference “Reduced Density Matrices in Quantum Physics and Role of Fermionic Exchange Symmetry” (Oxford, United Kingdom, 12–15 April 2016), University of Oxford, 2016 http://www.physics.ox.ac.uk/confs/pauli2016/include/posters/Filippov.pdf
102. M. Rudenko, D. Svintsov, S. Filippov, V. Vyurkov, “Single-electron solitons in magnetic field”, International Conference on Micro- and Nano-Electronics 2016 (Zvenigorod, Russian Federation, 03-06.10.2016), Proc. SPIE, 10224, 2016, 10242K , 9 pp.  mathnet  crossref  isi  scopus
103. 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)
104. 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
105. 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
106. 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)
107. 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)
108. 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)
109. 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: 12)  elib  scopus (cited: 10)
110. 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
111. 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)
112. 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: 13)  elib  scopus (cited: 13)
113. 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: 11)  scopus (cited: 10)
114. 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: 3)  scopus (cited: 2)

   2015
115. 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: 9)
116. 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)
117. 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)
118. I. A. Luchnikov, S. N. Filippov, “Statsionarnye sostoyaniya i kvantovaya dinamika v obobschënnykh modelyakh DzheinsaKammingsa”, 58-ya Vserossiiskaya nauchnaya konferentsiya MFTI s mezhdunarodnym uchastiem (Dolgoprudnyi - Moskva, 23-28 noyabrya 2015 g.), 2015 http://conf58.mipt.ru/static/reports_pdf/610.pdf
119. I. V. Dudinets, S. N. Filippov, “Evolyutsiya pereputannykh sostoyanii v nesimmetrichnykh kvantovykh kanalakh”, 58-ya Vserossiiskaya nauchnaya konferentsiya MFTI s mezhdunarodnym uchastiem (Dolgoprudnyi - Moskva, 23-28 noyabrya 2015 g.), 2015 http://conf58.mipt.ru/static/reports_pdf/607.pdf
120. S. N. Filippov, “Dynamics of quantum entanglement of light under attenuation and amplification”, Book of abstracts, 2nd Russian-Britain Workshop “Advanced Photonics and Polaritonics” (March 12-15, 2015, Suzdal, Russia), 2015, 25–27
121. S. N. Filippov, “Influence of deterministic attenuation and amplification of optical signals on entanglement and distillation of Gaussian and non-Gaussian quantum states”, XII International Workshop on Quantum Optics (IWQO-2015), EPJ Web of Conf., 103, 2015, 3003 , 2 pp.  mathnet  crossref  isi (cited: 1)  scopus (cited: 1)
122. J. Exp. Theor. Phys., 120:3 (2015), 436–443  mathnet  crossref  crossref  isi (cited: 7)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 5)
123. 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)
124. S. M. Korotaev, E. O. Kiktenko, “Quantum causality in closed timelike curves”, Physica Scripta, 90 (2015), 085101 , 14 pp.  mathnet  crossref  isi (cited: 1)  scopus (cited: 2)
125. 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: 2)  elib  elib  scopus (cited: 2)
126. 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: 36)  scopus (cited: 37)
127. N. M. Budnev, S. M. Korotaev, E. O. Kiktenko, R. R. Mirgazov, A. I. Panfilov, V. O. Serdyuk, V. S. Shneer, V. L. Zurbanov, V. A. Machinin, V. B. Buzin, “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: 2)  elib  elib  scopus (cited: 2)
128. 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: 10)  scopus (cited: 9)
129. 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: 38)  scopus (cited: 40)
130. 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
131. 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)
132. 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: 4)
133. 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
134. 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
135. 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)
136. 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  elib  scopus (cited: 3)
137. 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
138. 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
139. 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)
140. 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)
141. 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)
142. 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: 2)  scopus (cited: 2)
143. S. N. Filippov, “Dinamika kvantovoi stseplennosti v bozonnykh gaussovskikh kanalakh”, Trudy 57-i nauchnoi konferentsii MFTI. Obschaya i prikladnaya fizika (Dolgoprudnyi – Moskva, 24–29 noyabrya 2014 g.), MFTI, Moskva, 2014, 24–25
144. M. Rudenko, V. Vyurkov, S. Filippov, A. Orlikovsky, “Quantum register in a field-effect transistor channel”, Book of abstracts, International Conference Micro- and NanoElectronics ICMNE-2014 (Oct. 6-10, 2014, Zvenigorod, Russia), 2014, q1-05
145. S. N. Filippov, V. V. Vyurkov, “Entanglement resonance”, Book of abstracts, International Conference Micro- and NanoElectronics ICMNE-2014 (Oct. 6-10, 2014, Zvenigorod, Russia), 2014, q2-02
146. Sergey N. Filippov, Mário Ziman, “Entanglement sensitivity to signal attenuation and amplification”, Phys. Rev. A, 90 (2014), 10301 , 5 pp., arXiv: 1405.1754  mathnet  crossref  adsnasa  scopus (cited: 13)
147. Sergey N. Filippov, “PPT-inducing, distillation-prohibiting, and entanglement-binding quantum channels”, J. Russian Laser Research, 35 (2014), 484–491 , arXiv: 1409.4036  mathnet  crossref  adsnasa  scopus (cited: 6)
148. 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)
149. 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)
150. 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: 2)

   2013
151. 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
152. 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
153. 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
154. 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
155. 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)
156. Sergey N. Filippov, Vladimir I. Man'ko, “Purity of spin states in terms of tomograms”, J. Russian Laser Research, 34:1 (2013), 14–21  mathnet  crossref  isi (cited: 6)  scopus (cited: 6)
157. Sergey N. Filippov, Alexey A. Melnikov, Mário Ziman, “Dissociation and annihilation of multipartite entanglement structure in dissipative quantum dynamics”, Phys. Rev. A, 88 (2013), 62328 , 11 pp., arXiv: 1310.4790  mathnet  crossref  adsnasa  scopus (cited: 24)
158. Sergey N. Filippov, Mário Ziman, “Bipartite entanglement-annihilating maps: Necessary and sufficient conditions”, Phys. Rev. A, 88 (2013), 32316 , 7 pp., arXiv: 1306.6525  mathnet  crossref  adsnasa  isi (cited: 16)  scopus (cited: 15)
159. S. N. Filippov, V. I. Manko, A. S. Coelho, A. Zavatta, M. Bellini, “Single photon-added coherent states: estimation of parameters and fidelity of the optical homodyne detection”, Phys. Scr., 153 (2013), 14025 , 5 pp., arXiv: 1301.2084  mathnet  crossref  adsnasa  isi (cited: 4)  scopus (cited: 5)
160. 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)
161. 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: 5)  scopus (cited: 5)
162. S. M. Korotaev, E. O. Kiktenko, S. P. Gaidash, N. M. Budnev, R. R. Mirgazov, A. I. Panfilov, A. A. Khalezov, V. O. Serdyuk, V. S. Shneer, “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: 4)  scopus (cited: 4)
163. 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: 9)
164. 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)
165. 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
166. 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)
167. 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
168. 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)
169. 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
170. 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)
171. 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)
172. 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
173. 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
174. S. N. Filippov, Kvantovye sostoyaniya i dinamika spinovykh sistem i elektromagnitnogo polya v predstavlenii tomograficheskoi veroyatnosti, Dissertatsiya na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk, MFTI, Dolgoprudnyi, 2012 , 172 pp.
175. S. N. Filippov, “Nedelimye kvantovye kanaly i ikh mikroskopicheskie modeli”, Trudy 55-i nauchnoi konferentsii MFTI. Obschaya i prikladnaya fizika (Dolgoprudnyi – Moskva, 19–25 noyabrya 2012 g.), MFTI, Moskva, 2012, 37–38
176. A. A. Melnikov, S. N. Filippov, “Trëkhkubitovye kvantovye kanaly, annigiliruyuschie pereputannost”, Trudy 55-i nauchnoi konferentsii MFTI. Obschaya i prikladnaya fizika (Dolgoprudnyi – Moskva, 19–25 noyabrya 2012 g.), MFTI, Moskva, 2012, 31–33
177. M. Rudenko, V. Vyurkov, S. Filippov, A. Orlikovsky, “Measurement of charge and spin qubits in a transistor channel”, Book of abstracts, International Conference Micro- and NanoElectronics ICMNE-2012 (Oct. 1-5, 2012, Moscow-Zvenigorod, Russia), 2012, P2-14
178. V. Vyurkov, S. Filippov, I. Semenikhin, A. Orlikovsky, “Quantum noise in field-effect nanotransistors”, Book of abstracts, International Conference Micro- and NanoElectronics ICMNE-2012 (Oct. 1-5, 2012, Moscow-Zvenigorod, Russia), 2012, q3-04
179. V. Vyurkov, M. Rudenko, S. Filippov, “Effect of image charges on a space qubit evolution”, Book of abstracts, International Conference Micro- and NanoElectronics ICMNE-2012 (Oct. 1-5, 2012, Moscow-Zvenigorod, Russia), 2012, q1-09
180. S. N. Filippov, “Entanglement-annihilating quantum dynamical processes”, Book of abstracts, International Conference Micro- and NanoElectronics ICMNE-2012 (October 1-5, 2012, Moscow-Zvenigorod, Russia), 2012, q3-04
181. S. N. Filippov, “Optical homodyne tomography: operational use of data and evaluation of errors”, Book of abstracts, Central European Workshop on Quantum Optics (July 2–6, 2012, Sinaia, Romania), 2012, 33
182. Sergey N. Filippov, Mário Ziman, “Probability-based comparison of quantum states”, Phys. Rev. A, 85 (2012), 62301 , 11 pp., arXiv: 1202.1015  mathnet  crossref  adsnasa  isi (cited: 3)  scopus (cited: 2)
183. M. Bellini, A. S. Coelho, S. N. Filippov, V. I. Man'ko, A. Zavatta, “Towards higher precision and operational use of optical homodyne tomograms”, Phys. Rev. A, 85 (2012), 52129 , 10 pp., arXiv: 1203.2974  mathnet  crossref  adsnasa  isi (cited: 37)  scopus (cited: 38)
184. Sergey N. Filippov, Tomáš Rybár, Mário Ziman, “Local two-qubit entanglement-annihilating channels”, Phys. Rev. A, 85 (2012), 12303 , 9 pp., arXiv: 1110.3757  mathnet  crossref  adsnasa  isi (cited: 25)  scopus (cited: 25)
185. S. N. Filippov, V. I. Man'ko, “Star product and ordered moments of photon creation and annihilation operators”, J. Phys. A, 45 (2012), 15305 , 12 pp., arXiv: 1108.2244  mathnet  crossref  adsnasa  isi (cited: 1)  scopus (cited: 1)
186. Tomáš Rybár, Sergey N. Filippov, Mário Ziman, Vladim{\i}r Bužek, “Simulation of indivisible qubit channels in collision models”, J. Phys. B, 45 (2012), 154006 , 6 pp., arXiv: 1202.6315  mathnet  crossref  adsnasa  isi (cited: 44)  scopus (cited: 44)
187. S. N. Filippov, V. I. Man'ko, “Evolution of microwave quantum states in terms of measurable ordered moments of creation and annihilation operators”, Optics and Spectroscopy, 112:3 (2012), 365–372  mathnet  crossref  adsnasa  isi  elib  elib  scopus
188. Optics and Spectroscopy, 112:3 (2012), 359–364  mathnet  crossref  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)
189. V. Vyurkov, I. Semenikhin, S. Filippov, A. Orlikovsky, “Quantum simulation of an ultrathin body field-effect transistor with channel imperfections”, Solid-State Electronics, 70 (2012), 106–113  mathnet  crossref  adsnasa  isi (cited: 5)  scopus (cited: 5)
190. Korotaev S.M., Kiktenko E.O., “Causality and decoherence in the asymmetric states”, Physica Scripta, 85:5 (2012), 055006  mathnet  crossref  isi (cited: 6)  scopus (cited: 7)
191. 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: 8)  scopus (cited: 8)
192. Physics of Atomic Nuclei, 75:3 (2012), 371–392  mathnet  crossref  isi (cited: 4)  elib  elib  scopus (cited: 4)

   2011
193. 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: 18)
194. 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: 43)  scopus (cited: 41)
195. 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: 31)
196. 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
197. 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: 12)  scopus (cited: 17)
198. 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
199. A. N. Pechen, “Critical points of objective functions for quantum control problems”, Tambov University Reports, 16:4 (2011), 1146–1148  elib

   2014
200. 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: 2)

   2011
201. 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)
202. 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)
203. 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
204. O. V. Morzhin, “Computational aspects of nonlocal improvement for control in differential systems”, Program Systems: Theory and Applications, 2:2 (2011), 37–51  mathnet
205. 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
206. 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
207. O. V. Morzhin, “Proektsionnye metody nelokalnogo uluchsheniya upravlyayuschikh funktsii i parametrov”, Vestnik Buryatskogo gosudarstvennogo universiteta. Matematika i informatika, 2011, no. 9, 31–35  elib
208. 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
209. S. N. Filippov, V. I. Manko, “Unitary and non-unitary matrices as a source of different bases of operators acting on Hilbert spaces”, Journal of Russian Laser Research, 32:1 (2011), 56–67 , arXiv: 1012.6045  crossref  adsnasa  isi (cited: 6)  scopus (cited: 7)
210. S. N. Filippov, V. I. Manko, “Optical tomography of Fock state superpositions”, Physica Scripta, 83 (2011), 058101 , 4 pp., arXiv: 1101.1689  crossref  adsnasa  isi (cited: 19)  scopus (cited: 19)
211. S. N. Filippov, V. I. Manko, “Measuring microwave quantum states: Tomogram and moments”, Physical Review A, 84 (2011), 033827 , 9 pp., arXiv: 1104.3857  crossref  adsnasa  isi (cited: 17)  scopus (cited: 17)
212. S. Filippov, V. Vyurkov, L. Fedichkin, “Effect of image charge on double quantum dot evolution”, Physica E, 44 (2011), 501–505  crossref  adsnasa  scopus (cited: 7)
213. Yu. M. Belousov, S. N. Filippov, V. I. Manko, I. V. Traskunov, “Relaxation equations for the qubit in the tomographic representation”, Journal of Russian Laser Research, 32 (2011), 584–595  crossref  isi (cited: 4)  scopus (cited: 5)
214. S. N. Filippov, “Polozhitelnye i vpolne polozhitelnye otobrazheniya v zadache nakhozhdeniya kvantovykh kanalov, razrushayuschikh ili annigiliruyuschikh stseplennost”, Trudy 54-i nauchnoi konferentsii MFTI Problemy fundamentalnykh i prikladnykh estestvennykh i tekhnicheskikh nauk v sovremennom informatsionnom obschestve (Dolgoprudnyi, 25–26 noyabrya 2011 g.), v. 1, Upravlenie i prikladnaya matematika, MFTI, Moskva, 2011, 30–31
215. S. N. Filippov, “Uravneniya kvantovoi dinamiki uporyadochennykh momentov operatorov rozhdeniya i unichtozheniya fotonov v formalizme zvëzdochnogo proizvedeniya”, Trudy 54-i nauchnoi konferentsii MFTI Problemy fundamentalnykh i prikladnykh estestvennykh i tekhnicheskikh nauk v sovremennom informatsionnom obschestve. Obschaya i prikladnaya fizika. (Dolgoprudnyi, 25–26 noyabrya 2011 g.), MFTI, Moskva, 2011, 114–116
216. V. Vyurkov, S. Filippov, A. Orlikovsky, “Quantum computing on silicon-on-insulator structure”, 7th Workshop on the Thematic Network on Silicon On Insulator Technology, Devices, and Circuits EUROSOI 2011. Conference proceedings. (January 17-19, 2011, Granada, Spain), 2011, 101–102
217. 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)
218. 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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