Research interests of Alexander Pechen include diverse topics in mathematics of quantum technologies, dynamics and control of quantum systems. Some results include:
* Proved Turing uncomputability of discrete quantum control [with D. Bondar, Scientific Reports 10, 1195 (2020)].
* Proposed a scheme for incoherent control of open quantum systems using engineered environments [with H. Rabitz, Phys. Rev. A 73, 062102 (2006)]. In relation to this work, showed that open quantum systems are approximately controllable in the set of all density matrices when driven by coherent and incoherent controls [Phys. Rev. A 84, 042106 (2011)].
* Proposed a general scheme for using back-action of non-selective quantum measurements for controlling quantum systems [with N. Il'in, F. Shuang, H. Rabitz, Phys. Rev. A 74, 052102 (2006)]. Found exact analytical optimal solutions for various models, including optimal approximation of the quantum anti-Zeno effect by a finite number of quantum measurements.
* Analysed quantum control landscapes for open quantum systems. Proved under certain assumptions the absence of traps in regular points for open quantum systems. These results were applied to the analysis of control in chemistry and biology forming a basis for OptiChem and OptiEvo theories.
* Found the existence of traps for controlling three-level Lambda-atom [with D.J. Tannor, Phys. Rev. Lett. 106, 120402 (2011)]. Proved absence of traps for a qubit and for controlling transmission of particle in one-dimensional potential---the first result about trap-free behaviour for quantum systems with infinite-dimensional Hilbert space.
* Derived generalized quantum stochastic differential equations with quantum multipole noise for the dynamics of quantum system interacting with bosonic reservoir beyond the weak coupling limit (with I.V. Volovich).
* Developed a new method for derivation of quantum quantum stochastic differential equations for open quantum systems interacting with a dilute quantum gas. Discovered the appearance of free white noise for such systems thereby finding a new connection of the non-commutative free probability with physics [J. Math. Phys. 45, 400–417 (2004); J. Math. Phys. 47, 033507 (2006)].
Biography
Alexander Pechen received M.Sc. degree with Honour in Physics from Lomonosov Moscow State University (2001) and Ph.D. degree in Mathematical Physics from Steklov Mathematical Institute of Russian Academy of Sciences (2004; thesis advisor Prof. I. V. Volovich). In 2005–2010 he worked as a Research Associate with Prof. H. Rabitz at the Department of Chemistry in Princeton University, where his research was honoured with Blavatnik award for “developing a single, unified mathematical treatment for a wide range of open system control phenomena.” He was a visiting researcher at Weizmann Institute of Science working with Prof. D. J. Tannor, at the University of Rome "Tor Vergata" (visiting Prof. L. Accardi) and National Autonomous University of Mexico (visiting Prof. R. Quezada). Now Prof. Pechen works on a variety of topics in quantum control and quantum mechanics as Head of Department of Mathematical Methods for Quantum Technologies in Steklov Mathematical Institute of Russian Academy of Sciences and as Professro, Chief Researcher in the University of Science and Technology MISIS, Vice-Chair of the Department "Methods of Modern Mathematics" at Moscow Institute of Physics and Technology.
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
A. Pechen, “Engineering arbitrary pure and mixed quantum states”, Phys. Rev. A, 84:4 (2011), 042106, 6 pp., arXiv: 1210.2281
A. Pechen, H. Rabitz, “Teaching the environment to control quantum systems”, Phys. Rev. A, 73 (2006), 062102, 6 pp., arXiv: quant-ph/0609097
A. Pechen, N. Il'in, F. Shuang, H. Rabitz, “Quantum control by von Neumann measurements”, Phys. Rev. A, 74 (2006), 052102, 7 pp., arXiv: quant-ph/0606187
L. Accardi, A. Pechen, I. V. Volovich, “A stochastic golden rule and quantum Langevin equation for the low density limit”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 6:3 (2003), 431–453, arXiv: math-ph/0206032
Igor Korolev, Alexander Pechen, and Boris Volkov, “Higher-order traps in quantum control landscapes for transmon systems”, RuSCDays 2025 (Moscow, 29–30 September, 2025), Lecture Notes in Computer Science, 16196, 2026, 379–394
Alexander N. Pechen, Boris O. Volkov, “Diverse efficiency of observable optimization for four-level quantum systems with higher-order traps”, Phys. Scr., 101:2 (2026), 25101, 14 pp.
3.
E. B. Fel'dman, I. D. Lazarev, A. N. Pechen, A. I. Zenchuk, “Coherence restoring in communication line via controlled interaction with environment”, Quantum Inf. Process., 25 (2026), 121, 21 pp., arXiv: 2509.25861
4.
I. T. Russkikh, B. O. Volkov, A. N. Pechen, “Efficient machine learning generation of quantum processes”, Zh. vychisl. matem. i matem. fiz., 66:8 (2026), 1412–1424;
5.
A. N. Pechen, “On comparison of quantum control landscapes with different trapping features”, Zh. vychisl. matem. i matem. fiz., 66:8 (2026), 1402–1411;
2025
6.
Oleg V. Morzhin, Alexander N. Pechen, “Gradient projection method for constrained quantum control”, J. Phys. A, 58:13 (2025), 135303, 24 pp., arXiv: 2411.19644
Boris Volkov, Anastasia Myachkova, Alexander Pechen, “Phenomenon of a stronger trapping behavior in $\Lambda$-type quantum systems with symmetry”, Phys. Rev. A, 111 (2025), 22617, 13 pp., arXiv: 2404.06937
Ilya A. Lopatin, Alexander N. Pechen, “Weak coupling limit for quantum systems with unbounded weakly commuting system operators”, J. Math. Phys., 66:4 (2025), 42101, 21 pp., arXiv: 2505.08241
S.V. Kozyrev, I.A. Lopatin, and A.N. Pechen, “Generalization in learning: Eyring formula and predator-prey model”, Lobachevskii Journal of Mathematics, 46:6 (2025), 2591–2600
10.
I. M. Korolev, A. N. Pechen, “Numerical analysis of quantum control landscapes for single-qubit gate generation in three-level fluxonium systems”, Lobachevskii J. Math., 46:6 (2025), 2581–2590
A. N. Pechen, “On the analysis of quantum control landscapes using gradient projection method and Pontryagin maximum principle”, Lobachevskii J. Math., 46:6 (2025), 2622–2631
A. N. Pechen, “Some optimization methods for quantum systems: gradient projection method on Stiefel manifolds and beyond”, Russian Microelectronics, 54:8 (2025), 1384–1390https://rdcu.be/e9AWP
14.
I. T. Russkikh, B. O. Volkov, A. N. Pechen, “Kraus maps and complex Stiefel manifolds”, Mikroelektronika, 54:8 (2025), 1412–1416
15.
B. O. Volkov, A. Myachkova, I. M. Korolev, A. N. Pechen, “Higher-order traps in quantum control landscapes of physical systems”, Mikroelektronika, 54:8 (2025), 1402–1406
16.
E. B. Fel'dman, I. D. Lazarev, A. N. Pechen, A. I. Zenchuk, “Quantum coherence restoring in communication line via strong pulse-form interaction with environment”, Mikroelektronika, 54:8 (2025), 1497–1504
2024
17.
Oleg V. Morzhin, Alexander N. Pechen, “Using and Optimizing Time-Dependent Decoherence Rates and Coherent Control for a Qutrit System”, Proc. Steklov Inst. Math., 324 (2024), 153–168, arXiv: 2308.03976
18.
Oleg V. Morzhin, Alexander N. Pechen, “Control of the von Neumann entropy for an open two-qubit system using coherent and incoherent drives”, Entropy, 26:1 (2024), 36, 22 pp., arXiv: 2405.06365
E. B. Fel'dman, A. N. Pechen, A. I. Zenchuk, “Optimal remote restoring of quantum states in communication lines via local magnetic field”, Physica Scripta, 99 (2024), 025112, 16 pp., arXiv: 2401.09569
Vladimir Busovikov, Alexander Pechen and Vsevolod Sakbaev, Quantum Random Walks and Quantum Oscillator in an Infinite-Dimensional Phase Space, 2024, arXiv: 2406.10699
21.
A. N. Pechen, V. N. Petruhanov, O. V. Morzhin, B. O. Volkov, “Control landscapes for high-fidelity generation of C-NOT and C-PHASE gates with coherent and environmental driving”, European Physics Journal Plus, 139 (2024), 411, 21 pp., arXiv: 2405.14069
O. V. Morzhin, A. N. Pechen, “Generation of C-NOT, SWAP, and C-Z Gates for two qubits using coherent and incoherent controls and stochastic optimization”, Lobachevskii Journal of Mathematics, 45:2 (2024), 728–740, arXiv: 2312.05625
L. V. Lokutsievskiy, A. N. Pechen, M. I. Zelikin, “Time-optimal state transfer for an open qubit”, Journal of Physics A: Mathematical and Theoretical, 57:27 (2024), 275302, 23 pp., arXiv: 2401.10099
G. A. Bochkin, S. I. Doronin, E. B. Fel'dman, E. I. Kuznetsova, I. D. Lazarev, A. N. Pechen, A. I. Zenchuk, “Some aspects of remote state restoring in state transfer governed by XXZ-Hamiltonian”, Lobachevskii Journal of Mathematics, 45:3 (2024), 972–991, arXiv: 2407.16460
B. O. Volkov, A. N. Pechen, “Higher-order traps for some strongly degenerate quantum control systems”, Russian Math. Surveys, 78:2 (2023), 390–392
27.
O. V. Morzhin, A. N. Pechen, “On optimization of coherent and incoherent controls for two-level quantum systems”, Izvestiya: Mathematics, 87:5 (2023), 1024–1050
28.
B. O. Volkov, A. N. Pechen, “On the detailed structure of quantum control landscape for fast single qubit phase-shift gate generation”, Izvestiya: Mathematics, 87:5 (2023), 906–919
29.
Anastasia A. Myachkova, Alexander N. Pechen, “Some Controllable and Uncontrollable Degenerate Four-Level Quantum Systems”, Proc. Steklov Inst. Math., 321 (2023), 222–235
30.
Vadim N. Petruhanov, Alexander N. Pechen, “Quantum gate generation in two-level open quantum systems by coherent and incoherent photons found with gradient search”, Photonics, 10:2 (2023), 220, 16 pp., arXiv: 2302.14364
Oleg V. Morzhin, Alexander N. Pechen, “Optimal state manipulation for a two-qubit system driven by coherent and incoherent controls”, Quantum Information Processing, 22 (2023), 241, 27 pp., arXiv: 2304.00863
V. N. Petruhanov, A. N. Pechen, “GRAPE optimization for open quantum systems with time-dependent decoherence rates driven by coherent and incoherent controls”, Journal of Physics A: Mathematical and Theoretical, 56:30 (2023), 305303, 26 pp., arXiv: 2307.08479
Maria Elovenkova, Alexander Pechen, “Control landscape of measurement-assisted transition probability for a three-level quantum system with dynamical symmetry”, Quantum Reports, 5:3 (2023), 526–545, arXiv: 2307.07450
S. A. Kuznetsov, A. N. Pechen, “On controllability of $\Lambda$- and $V$-atoms and other three-level systems with two allowed transitions”, Lobachevskii Journal of Mathematics, 44:6 (2023), 2101–2108
K. A. Lyakhov, A. N. Pechen, “Mathematical model of hydrogen dissociation on $\mathrm{MO}_2\mathrm{C}$ surface in the presence of a laser field”, Lobachevskii Journal of Mathematics, 44:6 (2023), 2125–2134
Oleg V. Morzhin, Alexander N. Pechen, “Krotov type optimization of coherent and incoherent controls for open two-qubit systems”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 45 (2023), 3–23, arXiv: 2308.06119
Sergei V. Kozyrev, Alexander N. Pechen, “Amplification of quantum transfer and quantum ratchet”, Physica Scripta, 98:12 (2023), 125122, 12 pp., arXiv: arXiv:2401.00508
38.
G. G. Amosov, E. L. Baitenov, A. N. Pechen, “On reconstruction of states from evolution induced by quantum dynamical semigroups perturbed by covariant measures”, Quantum Information Processing, 22 (2023), 401, 14 pp., arXiv: 2312.01094
39.
Vadim N. Petruhanov, Alexander N. Pechen, “Quantum control landscapes for generation of H and T gates in an open qubit with both coherent and environmental drive”, Photonics, 10:11 (2023), 1200, 19 pp., arXiv: 2309.02063
A. N. Pechen, “Quantum Control by the Environment: Turing Uncomputability, Optimization over Stiefel Manifolds, Reachable Sets, and Incoherent GRAPE”, Russian Microelectronics, 52, Suppl. 1 (2023), S419–S423, arXiv: 2403.13461
41.
V. N. Petruhanov and A. N. Pechen, “Incoherent GRAPE for optimization of quantum systems with environmentally assisted control”, Russian Microelectronics, 52, Suppl. 1 (2023), S424–S427, arXiv: 2403.17388
Alexander N. Pechen, Sergey Borisenok, Alexander L. Fradkov, “Energy control in a quantum oscillator using coherent control and engineered environment”, Chaos Solitons Fractals, 164 (2022), 112687, 8 pp., arXiv: 2403.17178
Sergei V. Kozyrev, Alexander N. Pechen, “Quantum feedback control in quantum photosynthesis”, Phys. Rev. A, 106 (2022), 32218, 10 pp., arXiv: 2105.12128
K. A. Lyakhov, A. N. Pechen, “Laser and diffusion driven optimal discrimination of similar quantum systems in resonator”, Lobachevskii Journal of Mathematics, 43:7 (2022), 1693–1703, arXiv: 2211.08214
S. A. Kuznetsov, A. N. Pechen, “On controllability of a highly degenerate four-level quantum system with a “chained” coupling Hamiltonian”, Lobachevskii Journal of Mathematics, 43:7 (2022), 1683–1692
Vadim N. Petruhanov, Alexander N. Pechen, “Optimal control for state preparation in two-qubit open quantum systems driven by coherent and incoherent controls via GRAPE approach”, Int. J. Mod. Phys. A, 37:20-21 (2022), 2243017, 18 pp., arXiv: 2211.02517
Oleg V. Morzhin, Alexander N. Pechen, “On Reachable and Controllability Sets for Minimum-Time Control of an Open Two-Level Quantum System”, Proc. Steklov Inst. Math., 313 (2021), 149–164
50.
K. A. Lyakhov, A. N. Pechen, “Constrained Optimization Criterion for Zirconium Isotope Separation by the Method of Laser-Assisted Retardation of Condensation”, Proc. Steklov Inst. Math., 313 (2021), 131–141
51.
G. G. Amosov, A. S. Mokeev, A. N. Pechen, “Noncommutative graphs based on finite-infinite system couplings: Quantum error correction for a qubit coupled to a coherent field”, Phys. Rev. A, 103:4 (2021), 042407, 17 pp., arXiv: 2104.11937
B. O. Volkov, O. V. Morzhin, A. N. Pechen, “Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates”, Journal of Physics A: Mathematical and Theoretical, 54:21 (2021), 215303, 23 pp., arXiv: 2104.12699
O. V. Morzhin, A. N. Pechen, “Minimal time generation of density matrices for a two-level quantum system driven by coherent and incoherent controls”, Internat. J. Theoret. Phys., 60 (2021), 576–584, arXiv: 1909.09400
K. A. Lyakhov, A. N. Pechen, “Selective multi-line excitation of isotopologues with similar quantum spectra as a function of gas flow pressure, temperature, and laser pulse spectrum”, AIP Conf. Proc., 2362, 2021, 040008, 6 pp.
55.
Oleg V. Morzhin, Alexander N. Pechen, “Numerical estimation of reachable and controllability sets for a two-level open quantum system driven by coherent and incoherent controls”, AIP Conf. Proc., 2362, 2021, 060003, 16 pp., arXiv: 2106.10146
Lev Lokutsievskiy and Alexander Pechen, “Reachable sets for two-level open quantum systems driven by coherent and incoherent controls”, Journal of Physics A: Mathematical and Theoretical, 54 (2021), 395304, 20 pp., arXiv: 2109.04384
E. B. Fel'dman, A. N. Pechen, A. I. Zenchuk, “Complete structural restoring of transferred multi-qubit quantum state”, Phys. Lett. A, 413 (2021), 127605, 13 pp., arXiv: 2104.13762
G. G. Amosov, A. S. Mokeev, A. N. Pechen, “On the construction of a quantum channel corresponding to non-commutative graph for a qubit interacting with quantum oscillator”, Lobachevskii Journal of Mathematics, 42:10 (2021), 2280–2284, arXiv: 2403.06733
O. V. Morzhin, A. N. Pechen, “Generation of density matrices for two qubits using coherent and incoherent controls”, Lobachevskii Journal of Mathematics, 42:10 (2021), 2401–2412
K. A. Lyakhov, A. N. Pechen, “Enrichment factor for molybdenum isotopes separation by the method of laser-assisted retardation of condensation”, Lobachevskii Journal of Mathematics, 42:10 (2021), 2392–2400
Matematika kvantovykh tekhnologii, Sbornik statei, Trudy MIAN, 313, ed. A. N. Pechen, I. V. Volovich, G. G. Amosov, A. E. Teretenkov, MIAN, M., 2021, 296 pp.
2020
62.
D. I. Bondar, A. N. Pechen, “Uncomputability and complexity of quantum control”, Scientific Reports, 10 (2020), 1195, 10 pp., arXiv: 1907.10082
S. N. Filippov, G. N. Semin, A. N. Pechen, “Quantum master equations for a system interacting with a quantum gas in the low-density limit and for the semiclassical collision model”, Phys. Rev. A, 101 (2020), 12114, 10 pp., arXiv: 1908.11202
G. G. Amosov, A. S. Mokeev, A. N. Pechen, “Non-commutative graphs and quantum error correction for a two-mode quantum oscillator”, Quantum Information Processing, 19:3 (2020), 95, 12 pp., arXiv: 1910.08935
K. A. Lyakhov, A. N. Pechen, “CO$_2$ laser system design for efficient boron isotope separation by the method of selective laser-assisted retardation of condensation”, Applied Physics B, 126 (2020), 141, 11 pp.
O. V. Morzhin, A. N. Pechen, “Maximization of the Uhlmann–Jozsa Fidelity for an Open Two-Level Quantum System with Coherent and Incoherent Controls”, Phys. Part. Nucl., 51:4 (2020), 464–469
67.
O. V. Morzhin, A. N. Pechen, “Machine Learning for Finding Suboptimal Final Times and Coherent and Incoherent Controls for an Open Two-Level Quantum System”, Lobachevskii Journal of Mathematics, 41:12 (2020), 2353–2368
K. A. Lyakhov, A. N. Pechen, “Evolution of the Enrichment Factor for an Iterative Scheme of Zirconium Isotopes Separation”, Lobachevskii Journal of Mathematics, 41:12 (2020), 2345–2351
O. V. Morzhin, A. N. Pechen, “Krotov method for optimal control of closed quantum systems”, Russian Math. Surveys, 74:5 (2019), 851–908, arXiv: 1809.09562
71.
O. V. Morzhin, A. N. Pechen, “Maximization of the overlap between density matrices for a two-level open quantum system driven by coherent and incoherent controls”, Lobachevskii Journal of Mathematics, 40:10 (2019), 1532–1548rdcu.be/b8DB9
K. A. Lyakhov, A. N. Pechen, “Basic Vacuum Pump System Prerequisites for Boron Isotopes Separation by the Laser Assisted Retardation of Condensation (SILARC) method”, Physical and Chemical Processes in Atomic Systems, XVII International Scientific Conference and School of Young Scholars (Moscow, Russia, 2019, Oct’28-30), NRNU MEPhI, 2019, 67https://pnasc.mephi.ru/wp-content/uploads/2019/10/tp_final.pdf
73.
K. A. Lyakhov, A. N. Pechen, H. J. Lee, “Optimal CO2 laser system design for 11BCl3 excitation by the method of selective laser assisted retardation of condensation”, J. Electr. Eng. Electron. Technol., 8 (2019), 86
2018
74.
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
75.
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
76.
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, arXiv: 1910.08339
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, 8:9 (2018), 95325, 10 pp.
A. N. Pechen, “Some Methods of Construction of Controls for Quantum Systems”, J. Math. Sci. (N. Y.), 252:1 (2021), 65–71
79.
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”, J. Math. Sci. (N. Y.), 252:1 (2021), 60–64
2018
80.
A. N. Pechen, “International Congress of Mathematicians 2018 : from Rio de Janeiro to St. Petersburg”, Russian Math. Surveys, 73:6 (2018), 1145–1153
2017
81.
A. N. Pechen, N. B. Ilin, “Control landscape for ultrafast manipulation by a qubit”, Journal of Physics A: Mathematical and Theoretical, 50:7 (2017), 75301, 14 pp., arXiv: 1909.09216
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
A. N. Pechen’, “Some mathematical problems of control of quantum systems”, Journal of Mathematical Sciences, 241:2 (2019), 185–190
84.
N. B. Il’yn, A. N. Pechen’, “Discrete approximations of dynamical quantum Zeno effect”, Journal of Mathematical Sciences, 241:2 (2019), 158–167
2016
85.
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
86.
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
87.
A. N. Pechen, N. B. Ilin, “On extrema of the objective functional for short-time generation of single-qubit quantum gates”, Izvestiya: Mathematics, 80:6 (2016), 1200–1212, arXiv: 1909.12958
88.
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.
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
2015
90.
A. N. Pechen, A. S. Trushechkin, “Measurement-assisted Landau-Zener transitions”, Phys. Rev. A, 91:5 (2015), 052316, 15 pp., arXiv: 1506.08323
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
92.
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
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
97.
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
2013
98.
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
99.
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
100.
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
101.
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
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
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
105.
A. Pechen, N. Il'in, “Trap-free manipulation in the Landau-Zener system”, Phys. Rev. A, 86 (2012), 052117, 6 pp., arXiv: 1304.1357
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
107.
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
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
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
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
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
113.
A. Pechen, “Engineering arbitrary pure and mixed quantum states”, Phys. Rev. A, 84:4 (2011), 042106, 6 pp., arXiv: 1210.2281
2026