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Pechen Alexander Nikolaevich
(recent publications)
| by years | scientific publications | by types |

1. B. O. Volkov, A. N. Pechen, Uspekhi Mat. Nauk (to appear)  mathnet
2. O. V. Morzhin, A. N. Pechen, “On optimization of coherent and incoherent controls for two-level open quantum systems”, Izv. RAN. Ser. Mat. (to appear)  mathnet
3. B. O. Volkov, A. N. Pechen, “On the detailed structure of quantum control landscape for fast single qubit phase-shift gate generation”, Izv. RAN. Ser. Mat. (to appear)  mathnet

4. G.A. Bochkin, E.B. Feldman, I.D. Lazarev,A.N.Pechen,A.I. Zenchuk, “Transfer of zero-order coherence matrix along spin-1/2 chain”, Quantum Information Processing, 21 (2022), 261 , 28 pp., arXiv: 2201.01360  mathnet  crossref
5. 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.  mathnet  crossref;
6. Sergei V. Kozyrev, Alexander N. Pechen, “Quantum feedback control in quantum photosynthesis”, Phys. Rev. A, 106 (2022), 32218 , 10 pp., arXiv: 2105.12128  mathnet  crossref;
7. 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 https://rdcu.be/cZuG5  mathnet  crossref;
8. 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 https://rdcu.be/cZuH5  mathnet  crossref;
9. 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.  mathnet  crossref

10. 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.  mathnet
11. 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  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)
12. 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  mathnet  crossref  crossref  isi (cited: 1)  elib  scopus (cited: 1)
13. 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  mathnet  crossref  adsnasa  isi (cited: 1)  scopus (cited: 2);
14. 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  mathnet  crossref  adsnasa  isi (cited: 1)  scopus (cited: 3);
15. 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  mathnet  crossref  mathscinet  adsnasa  isi (cited: 8)  scopus (cited: 10);  mathscinet
16. 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.  mathnet  crossref  scopus;
17. 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  mathnet  crossref  scopus (cited: 2);
18. 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  mathnet  crossref  isi (cited: 1)  scopus (cited: 2)
19. 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  mathnet  crossref  isi  scopus (cited: 1);
20. 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  mathnet  crossref  mathscinet  isi  scopus;
21. 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  mathnet  crossref  mathscinet  isi  scopus;  mathscinet
22. 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  mathnet  crossref  isi  scopus;

23. D. I. Bondar, A. N. Pechen, “Uncomputability and complexity of quantum control”, Scientific Reports, 10 (2020), 1195 , 10 pp., arXiv: 1907.10082  mathnet  crossref  adsnasa  isi (cited: 3)  scopus (cited: 3)
24. 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  mathnet  crossref  adsnasa  adsnasa  isi (cited: 6)  scopus (cited: 9);
25. 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  mathnet  crossref  mathscinet  adsnasa  isi (cited: 7)  scopus (cited: 7);  mathscinet
26. 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.  mathnet  crossref  isi (cited: 5)  scopus (cited: 7);
27. 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  mathnet  crossref  isi (cited: 5)  elib  scopus (cited: 6)
28. 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  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 5)  elib  scopus (cited: 6);  mathscinet
29. 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  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 3)  elib  scopus (cited: 2);

30. Gerard McCaul, Alexander Pechen, Denys I. Bondar, “Entropy nonconservation and boundary conditions for Hamiltonian dynamical systems”, Phys. Rev. E, 99:6 (2019), 062121 , 9 pp., arXiv: 1904.03473  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2)
31. 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  mathnet  crossref  crossref  mathscinet  adsnasa  adsnasa  isi (cited: 7)  elib  scopus (cited: 9)
32. 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), 1532–1548 rdcu.be/b8DB9  mathnet (cited: 1)  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 8)
33. 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, Oct28-30), NRNU MEPhI, 2019, 67 https://pnasc.mephi.ru/wp-content/uploads/2019/10/tp_final.pdf
34. 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  mathnet  crossref;

35. 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  adsnasa  adsnasa  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
36. 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 (cited: 2)  elib  elib  scopus (cited: 4)
37. 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  mathnet  crossref  mathscinet  isi (cited: 11)  scopus (cited: 11)
38. 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.  mathnet  crossref  isi (cited: 8)  scopus (cited: 9)

39. A. N. Pechen, “Some Methods of Construction of Controls for Quantum Systems”, J. Math. Sci. (N. Y.), 252:1 (2021), 65–71  mathnet  crossref  mathscinet  mathscinet  scopus
40. 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  mathnet  crossref  mathscinet  mathscinet  elib  scopus

41. A. N. Pechen, “International Congress of Mathematicians 2018 : from Rio de Janeiro to St. Petersburg”, Russian Math. Surveys, 73:6 (2018), 1145–1153  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi  elib

42. 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  mathnet  crossref  mathscinet  isi (cited: 7)  scopus (cited: 8)
43. 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: 18)  scopus (cited: 22)

44. A. N. Pechen, “Some mathematical problems of control of quantum systems”, Journal of Mathematical Sciences, 241:2 (2019), 185–190  mathnet  crossref  mathscinet  mathscinet  zmath  scopus (cited: 2)
45. N. B. Ilyn, A. N. Pechen, “Discrete approximations of dynamical quantum Zeno effect”, Journal of Mathematical Sciences, 241:2 (2019), 158–167  mathnet  crossref  mathscinet  zmath  scopus

46. 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
47. 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  adsnasa  isi (cited: 5)  elib  elib  scopus (cited: 6)
48. 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: 3)
49. 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  mathnet  crossref  crossref  mathscinet  adsnasa  adsnasa  isi (cited: 3)  elib  elib  scopus (cited: 2)
50. 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: 5)  scopus (cited: 8)

51. 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  adsnasa  isi (cited: 20)  elib (cited: 2)  scopus (cited: 22)
52. 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: 11)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 7)
53. 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  adsnasa  isi (cited: 9)  elib  elib  scopus (cited: 6)
54. Sergei Dmitriev and Alexander Pechen, The professional growth and scientific career: is there a difference? (in Russian), The electronic journal Science and Technology in RUSSIA – STRF.ru, 2015, March 27
55. Alexander Pechen and Anna Gorbatova, The second annual Blavatnik Science Symposium took place on August 5th and 6th 2015 at the New York Academy of Sciences (USA), The electronic journal Science and Technology in RUSSIA - STRF.ru, 2015, August 10

56. 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: 6)  scopus (cited: 7)
57. 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
58. 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  mathscinet  zmath  isi (cited: 12)  elib  elib  scopus (cited: 8)

59. Alexander Pechen, The reforms, but not like these (in Russian), Electronic media Polit.ru, 2013, July 04
60. 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
61. 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
62. 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
63. 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

64. 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: 6)  elib  scopus (cited: 6)
65. 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
66. 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  adsnasa  isi (cited: 19)  scopus (cited: 22)
67. 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
68. 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)
69. A. N. Pechen, D. J. Tannor, “Pechen and Tannor Reply”, Phys. Rev. Lett., 108 (2012), 198902 , 1 pp.  crossref  adsnasa  isi (cited: 17)  scopus (cited: 16)

70. 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: 18)  elib (cited: 6)  scopus (cited: 18)
71. 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: 56)  scopus (cited: 58)
72. 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: 42)  scopus (cited: 44)
73. 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
74. 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: 23)  scopus (cited: 33)
75. 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  zmath
76. A. N. Pechen, “Critical points of objective functions for quantum control problems”, Tambov University Reports, 16:4 (2011), 1146–1148  elib

77. A. Pechen, H. Rabitz, “Incoherent control of open quantum systems”, Journal of Mathematical Sciences, 199:6 (2014), 695–701  mathnet  crossref  mathscinet  zmath  elib (cited: 1)  scopus (cited: 8)

78. 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  crossref  adsnasa  isi (cited: 11)  scopus (cited: 14)
79. 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  crossref  adsnasa  isi (cited: 10)  scopus (cited: 11)

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