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
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
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
R. Wu, A. Pechen, C. Brif, H. Rabitz, “Controllability of open quantum systems with Kraus-map dynamics”, J. Phys. A, 40:21 (2007), 5681–5693 , arXiv: quant-ph/0611215
D.-Y. Dong, C.-L. Chen, T.-J. Tarn, A. Pechen, H. Rabitz, “Incoherent control of quantum systems with wavefunction controllable subspaces via quantum reinforcement learning”, IEEE Transactions on Systems, Man and Cybernetics — Part B: Cybernetics, 38:4 (2008), 957–962
R. Wu, A. Pechen, H. Rabitz, M. Hsieh, B. Tsou, “Control landscapes for observable preparation with open quantum systems”, J. Math. Phys., 49:2 (2008), 022108 , 12 pp., arXiv: 0708.2119
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. Pechen, D. Prokhorenko, R. Wu, H. Rabitz, “Control landscapes for two-level open quantum systems”, J. Phys. A, 41:4 (2008), 045205 , 18 pp., arXiv: 0710.0604
F. Shuang, A. Pechen, T.-S. Ho, H. Rabitz, “Observation-assisted optimal control of quantum dynamics”, J. Chem. Phys., 126 (2007), 134303 , 7 pp., arXiv: quant-ph/0609084
F. Shuang, M. Zhou, A. Pechen, R. Wu, O. M. Shir, H. Rabitz, “Control of quantum dynamics by optimized measurements”, Phys. Rev. A, 78 (2008), 063422 , 7 pp., arXiv: 0902.2596
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
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
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
A. Oza, A. Pechen, J. Dominy, V. Beltrani, K. Moore, H. Rabitz, “Optimization search effort over the control landscapes for open quantum systems with Kraus-map evolution”, J. Phys. A, 42:20 (2009), 205305 , 22 pp., arXiv: 0905.1149
L. Accardi, A. Pechen, I. V. Volovich, “Quantum stochastic equation for the low density limit”, J. Phys. A, 35:23 (2002), 4889–4902 , arXiv: quant-ph/0108112
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
A. Pechen, H. Rabitz, “Unified analysis of terminal-time control in classical and quantum systems”, Europhysics Letters, 91 (2010), 60005 , 6 pp., arXiv: 1011.1269
B. O. Volkov, O. V. Morzhin, A. N. Pechen, “Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates”, J. Phys. A: Math. Theor., 54:21 (2021), 215303 , 23 pp., arXiv: 2104.12699;
Lev Lokutsievskiy and Alexander Pechen, “Reachable sets for two-level open quantum systems driven by coherent and incoherent controls”, J. Phys. A: Math. Theor., 54 (2021), 395304 , 20 pp., arXiv: 2109.04384
V. N. Petruhanov, A. N. Pechen, “GRAPE optimization for open quantum systems with time-dependent decoherence rates driven by coherent and incoherent controls”, J. Phys. A, 56:30 (2023), 305303 , 26 pp., arXiv: 2307.08479;
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
27.
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
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. ;
A. Pechen, C. Brif, R. Wu, R. Chakrabarti, H. Rabitz, “General unifying features of controlled quantum phenomena”, Phys. Rev. A, 82 (2010), 030101(R) , 7 pp., arXiv: 1003.3506
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;
O. V. Morzhin, A. N. Pechen, “Maximization of the overlap between density matrices for a two-level open quantum system driven by coherent and incoherent controls”, Lobachevskii J. Math., 40:10 (2019), 1532–1548rdcu.be/b8DB9
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;
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.
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
35.
A. N. Pechen, “Quantum stochastic equation for a test particle interacting with a dilute Bose gas”, J. Math. Phys., 45:1 (2004), 400–417 , arXiv: math-ph/0303020
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
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;
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;
O. V. Morzhin, A. N. Pechen, “Machine Learning for Finding Suboptimal Final Times and Coherent and Incoherent Controls for an Open Two-Level Quantum System”, Lobachevskii J. Math., 41:12 (2020), 2353–2368;
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.
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
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;
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
45.
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
A. N. Pechen, N. B. Ilin, “On extrema of the objective functional for short-time generation of single-qubit quantum gates”, Izv. Math., 80:6 (2016), 1200–1212 , arXiv: 1909.12958
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
48.
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
O. V. Morzhin, A. N. Pechen, “Generation of density matrices for two qubits using coherent and incoherent controls”, Lobachevskii J. Math., 42:10 (2021), 2401–2412;
A. Pechen, H. Rabitz, “Incoherent control of open quantum systems”, Journal of Mathematical Sciences, 199:6 (2014), 695–701
51.
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;
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;
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
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
55.
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
56.
A. N. Pechen, “The multi-time correlation functions, free white noise, and the generalized Poisson statistics in the low density limit”, J. Math. Phys., 47 (2006), 033507 , 12 pp., arXiv: math-ph/0701055
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;
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 J. Math., 42:10 (2021), 2280–2284;
B. O. Volkov, A. N. Pechen, “Higher-order traps for some strongly degenerate quantum control systems”, Russian Math. Surveys, 78:2 (2023), 390–392
63.
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;
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;
Sergei V. Kozyrev, Alexander N. Pechen, “Quantum feedback control in quantum photosynthesis”, Phys. Rev. A, 106 (2022), 32218 , 10 pp., arXiv: 2105.12128;
S. A. Kuznetsov, A. N. Pechen, “On controllability of a highly degenerate four-level quantum system with a “chained” coupling Hamiltonian”, Lobachevskii J. Math., 43:7 (2022), 1683–1692;
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
68.
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;
K. A. Lyakhov, A. N. Pechen, “Evolution of the Enrichment Factor for an Iterative Scheme of Zirconium Isotopes Separation”, Lobachevskii J. Math., 41:12 (2020), 2345–2351;
L. Accardi, S. V. Kozyrev, A. N. Pechen, “Coherent quantum control of $\Lambda$-atoms through the stochastic limit”, Quantum information and computing, QP–PQ: Quantum Probab. White Noise Anal., 19, eds. L. Accardi, M. Ohya, N. Watanabe, World Scientific, Hackensack, NJ, 2006, 1–17 , arXiv: quant-ph/0403100
Maria Elovenkova, Alexander Pechen, “Control landscape of measurement-assisted transition probability for a three-level quantum system with dynamical symmetry”, Quantum Rep., 5:3 (2023), 526–545 , arXiv: 2307.07450;
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
74.
K. A. Lyakhov, A. N. Pechen, “Enrichment factor for molybdenum isotopes separation by the method of laser-assisted retardation of condensation”, Lobachevskii J. Math., 42:10 (2021), 2392–2400;
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
76.
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
77.
A. N. Pechen’, “Some mathematical problems of control of quantum systems”, Journal of Mathematical Sciences, 241:2 (2019), 185–190
78.
Izv. Math., 87:5 (2023), 906–919
79.
S. A. Kuznetsov, A. N. Pechen, “On controllability of $\Lambda$- and $V$-atoms and other three-level systems with two allowed transitions”, Lobachevskii J. Math., 44:6 (2023), 2101–2108;
A. N. Pechen, “White noise approach to the low density limit”, Quantum probability and infinite dimensional analysis, QP–PQ: Quantum Probab. White Noise Anal., 18, eds. M. Schürmann, U. Franz, World Scientific, Hackensack, NJ, 2005, 428–447 , arXiv: quant-ph/0607134
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”, Phys. Scr., 99 (2024), 025112 , 16 pp., arXiv: 2401.09569;
Anastasia A. Myachkova, Alexander N. Pechen, “Some Controllable and Uncontrollable Degenerate Four-Level Quantum Systems”, Proc. Steklov Inst. Math., 321 (2023), 222–235
84.
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 J. Math., 44:6 (2023), 2125–2134;
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
K. A. Lyakhov, A. N. Pechen, “Laser and diffusion driven optimal discrimination of similar quantum systems in resonator”, Lobachevskii J. Math., 43:7 (2022), 1693–1703 , arXiv: 2211.08214;
A. Pechen, H. Rabitz, “Incoherent quantum control”, Quantum probability and related topics, QP–PQ: Quantum Probab. White Noise Anal., 23, eds. J. Garcia, R. Quezada, S. Sontz, World Scientific, Hackensack, NJ, 2008, 197–211
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
89.
Vladimir Busovikov, Alexander Pechen and Vsevolod Sakbaev, Quantum Random Walks and Quantum Oscillator in an Infinite-Dimensional Phase Space, 2024 , arXiv: 2406.10699
90.
A. N. Pechen, V. N. Petruhanov, O. V. Morzhin, B. O. Volkov, “Control landscapes for high-fidelity generation of C-NOT and C-PHASE gates with coherent and environmental driving”, Eur. Phys. J. Plus, 139 (2024), 411 , 21 pp., arXiv: 2405.14069;
91.
O. V. Morzhin, A. N. Pechen, “Generation of C-NOT, SWAP, and C-Z Gates for two qubits using coherent and incoherent controls and stochastic optimization”, Lobachevskii J. Math., 45:2 (2024), 728–740 , arXiv: 2312.05625
92.
L. V. Lokutsievskiy, A. N. Pechen, M. I. Zelikin, “Time-optimal state transfer for an open qubit”, J. Phys. A, 57:27 (2024), 275302 , 23 pp., arXiv: 2401.10099;
93.
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 J. Math., 45:3 (2024), 972–991 , arXiv: 2407.16460;
94.
Sergei V. Kozyrev, Alexander N. Pechen, “Amplification of quantum transfer and quantum ratchet”, Phys. Scr., 98:12 (2023), 125122 , 12 pp., arXiv: arXiv:2401.00508;
95.
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 Inf. Process., 22 (2023), 401 , 14 pp., arXiv: 2312.01094;
96.
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
97.
B. O. Volkov and A. N. Pechen, “Quantum control landscapes and traps”, Russian Microelectronics, 52, Suppl. 1 (2023), S428–S431
98.
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. ;
99.
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
100.
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;
101.
A. N. Pechen, “Some Methods of Construction of Controls for Quantum Systems”, J. Math. Sci. (N. Y.), 252:1 (2021), 65–71
102.
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
103.
N. B. Il’yn, A. N. Pechen’, “Discrete approximations of dynamical quantum Zeno effect”, Journal of Mathematical Sciences, 241:2 (2019), 158–167
104.
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
105.
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
106.
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
107.
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
108.
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
109.
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
110.
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
111.
A. Pechen, “Selected topics in dynamics and control of open quantum systems”, P-Adic Numbers, Ultrametric Analysis and Applications, 3:3 (2011), 248–252
112.
A. N. Pechen, “Critical points of objective functions for quantum control problems”, Tambov University Reports, 16:4 (2011), 1146–1148
R. Wu, A. Pechen, H. Rabitz, “Control landscapes for observable preparation with open quantum systems”, Proceedings of the 46th IEEE Conference on Decision and Control (New Orleans, LA, USA, 2007), IEEE, 2007, 6365–6369
115.
A. A. Baranov, A. N. Pechen, and I. V. Volovich, “Space dependence of entangled states and Franson-type EPR experiments”, Mathematical Modelling in Physics, Engineering and Cognitive Science, 10, eds. A. Yu. Khrennikov, Vaxjo University, 2004, 83–91 , arXiv: quant-ph/0203152
116.
A. N. Pechen, Metod stokhasticheskoi asimptotiki v kvantovoi dinamike, Diss. … kand. fiz.-matem. nauk, MIAN, Moskva, 2004 , 106 pp.
117.
A. N. Pechen, D. J. Tannor, “Pechen and Tannor Reply”, Phys. Rev. Lett., 108 (2012), 198902 , 1 pp.
Oleg V. Morzhin, Alexander N. Pechen, “Correction: Morzhin, O.V.; Pechen, A.N. Control of the von Neumann entropy for an open two-qubit system using coherent and incoherent drives. Entropy 2024, 26, 36”, Entropy, 26:9 (2024), 750 , 1 pp.
119.
A. N. Pechen, “International Congress of Mathematicians 2018 : from Rio de Janeiro to St. Petersburg”, Russian Math. Surveys, 73:6 (2018), 1145–1153
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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
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
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.
Quantum control by the environment and by quantum measurements A. N. Pechen III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 12, 2023 10:00
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Incoherent control of open quantum systems A. N. Pechen International Conference "Theory of Functions, Operator Theory and Quantum Information Theory" June 2, 2023 13:25
Optimal control problems and methods for some open quantum systems O. V. Morzhin, A. N. Pechen International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 8, 2022 13:10
Uncomputability of quantum control A. N. Pechen International Bogolyubov Conference Problems of Theoretical and Mathematical Physics dedicated to the 110th anniversary of N. N. Bogolyubov's birth September 10, 2019 13:30
Mathematical problems of quantum technologies A. N. Pechen Second International Youth Workshop "Mathematical Methods in the Problems of Quantum Technologies" November 26, 2018 10:00
Some topics in quantum control A. N. Pechen International conference "Quantum information, statistics, probability" with a special session dedicated to A. S. Holevo's 75-th birthday September 12, 2018 17:00
Управление открытыми квантовыми системами A. N. Pechen International youth workshop «Mathematical methods in the problems of quantum technologies» October 9, 2017 10:00
Some topics in quantum control A. N. Pechen Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS October 31, 2013 11:00
Control of open quantum systems A. N. Pechen Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS December 9, 2010 11:00
Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, ed. A. N. Pechen, I. V. Volovich, G. G. Amosov, A. E. Teretenkov, 2021, 296 с. http://mi.mathnet.ru/book1832
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