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Pechen Alexander Nikolaevich
(full list of publications)
| by years | scientific publications | by types |



   2017
1. Alexander Pechen, Nikolay Il'in, “Control landscape for ultrafast manipulation by a qubit”, J. Phys. A, 50:7 (2017), 75301 , 14 pp.  mathnet  crossref  isi  scopus
2. 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”, Sep. Purif. Technol., 176:4 (2017), 402–411  mathnet  crossref  isi (cited: 1)  scopus (cited: 1)
3. 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
4. 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
5. Dmitry V. Zhdanov, Alexander Pechen, Tamar Seideman, Physical and engineering limitations beyond smooth and step-like policies in terminal and periodic quantum optimal control, 2017 , arXiv: 1709.09423

   2016
6. 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  isi  elib  elib  scopus
7. 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  elib  elib  scopus
8. 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  isi  elib  scopus
9. Konstantin Lyakhov, Heon-Ju Lee, Alexander 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  scopus

   2015
10. A. Pechen, A. Trushechkin, “Measurement-assisted Landau-Zener transitions”, Phys. Rev. A, 91:5 (2015), 052316 , 15 pp., arXiv: 1506.08323  mathnet  crossref  isi (cited: 4)  elib (cited: 2)  scopus (cited: 4)
11. 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: 6)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 4)
12. 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: 5)  elib  scopus (cited: 4)

   2014
13. A. N. Pechen, D. J. Tannor, “Control of quantum transmission is trap-free”, Canadian Journal of Chemistry, 92:2 (2014), 157–159 , arXiv: 1403.5700  mathnet  crossref  isi (cited: 3)  scopus (cited: 3)
14. A. N. Pechen, N. B. Il'in, “Coherent control of a qubit is trap-free”, Proceedings of the Steklov Institute of Mathematics, 285 (2014), 233–240 , arXiv: 1407.5175  mathnet  crossref  crossref  isi (cited: 6)  elib  scopus (cited: 3)

   2013
15. 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
16. 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
17. 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
18. 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

   2012
19. X.-J. Feng, A. Pechen, A. Jha, R. Wu, H. Rabitz, “Global optimality of fitness landscapes in evolution”, Chemical Science, 3 (2012), 900–906 , Edge Article  mathnet  crossref  isi (cited: 2)  elib  scopus (cited: 2)
20. 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
21. A. Pechen, N. Il'in, “Trap-free manipulation in the Landau-Zener system”, Phys. Rev. A, 86 (2012), 052117 , 6 pp., arXiv: 1304.1357  mathnet  crossref  adsnasa  isi (cited: 10)  scopus (cited: 10)
22. 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
23. A. N. Pechen, D. J. Tannor, “Quantum control landscape for a Lambda-atom in the vicinity of second-order traps”, Israel Journal of Chemistry, 52:5 (2012), 467–472 , arXiv: 1508.04169  mathnet  crossref  isi (cited: 6)  scopus (cited: 7)

   2011
24. 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: 15)  elib (cited: 6)  scopus (cited: 15)
25. A. N. Pechen, D. J. Tannor, “Are there traps in quantum control landscapes?”, Phys. Rev. Lett., 106 (2011), 120402 , 3 pp., This paper has been selected for the Editor's choice section of Science magazine, vol. 332, p. 514 (29 April 2011): “Look Out for Traps”, by Jake S. Yeston, arXiv: 1508.05434  crossref  adsnasa  isi (cited: 40)  scopus (cited: 38)
26. 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: 24)  scopus (cited: 24)
27. 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
28. A. Pechen, “Engineering arbitrary pure and mixed quantum states”, Phys. Rev. A, 84:4 (2011), 042106 , 6 pp., arXiv: 1210.2281  crossref  adsnasa  isi (cited: 10)  scopus (cited: 13)
29. 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
30. A. N. Pechen, “Critical points of objective functions for quantum control problems”, Tambov University Reports, 16:4 (2011), 1146–1148  elib
31. A. N. Pechen, Kh. Rabits, “Nekogerentnoe upravlenie otkrytymi kvantovymi sistemami”, Sovremennaya matematika. Fundamentalnye napravleniya, 42, 2011, 179–185  mathnet (cited: 1)  mathscinet; A. Pechen, H. Rabitz, “Incoherent control of open quantum systems”, Journal of Mathematical Sciences, 199:6 (2014), 695–701  crossref  mathscinet  elib (cited: 1)  scopus (cited: 1)

   2010
32. 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: 10)  scopus (cited: 11)
33. 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: 3)

   2009
34. 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  crossref  mathscinet (cited: 1)  zmath  adsnasa  isi (cited: 8)  scopus (cited: 7)

   2008
35. 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  crossref  mathscinet (cited: 2)  zmath  adsnasa  isi (cited: 24)  scopus (cited: 27)
36. 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  crossref  mathscinet (cited: 4)  zmath  adsnasa  isi (cited: 42)  scopus (cited: 40)
37. 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  crossref  adsnasa  isi (cited: 20)  scopus (cited: 19)
38. 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  crossref  isi (cited: 37)  elib (cited: 19)  scopus (cited: 42)
39. D.-Y. Dong, C.-B. Zhang, H. Rabitz, A. Pechen, T.-J. Tarn, “Incoherent control of locally controllable quantum systems”, J. Chem. Phys., 129 (2008), 154103 , 10 pp., arXiv: 0810.3814  crossref  adsnasa  isi (cited: 27)  scopus (cited: 33)
40. 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  crossref  mathscinet  zmath  isi (cited: 2)
41. A. Pechen, Kh. Rabits, “Nekogerentnoe upravlenie otkrytymi kvantovymi sistemami”, Vestnik SamGU - Estestvennonauchnaya seriya, 8/1:67 (2008), 641–658

   2007
42. 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  crossref  adsnasa  isi (cited: 30)  scopus (cited: 30)
43. 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  crossref  mathscinet (cited: 5)  zmath  adsnasa  isi (cited: 43)  elib (cited: 34)  scopus (cited: 48)
44. 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

   2006
45. 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  crossref  mathscinet (cited: 1)  zmath  adsnasa  isi (cited: 2)  scopus (cited: 2)
46. A. Pechen, H. Rabitz, “Teaching the environment to control quantum systems”, Phys. Rev. A, 73 (2006), 062102 , 6 pp., arXiv: quant-ph/0609097  crossref  adsnasa  isi (cited: 40)  scopus (cited: 41)
47. 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  crossref  adsnasa  isi (cited: 56)  scopus (cited: 56)
48. 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  zmath  adsnasa

   2005
49. 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  crossref  mathscinet (cited: 2)

   2004
50. A. Pechen, “On an asymptotic expansion in quantum theory”, Math. Notes, 75:3 (2004), 426–429 , arXiv: 1509.00343  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
51. 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  crossref  mathscinet (cited: 2)  zmath  adsnasa  isi (cited: 5)  elib (cited: 5)  scopus (cited: 4)
52. 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  mathscinet
53. A. N. Pechen, Metod stokhasticheskoi asimptotiki v kvantovoi dinamike, Diss. … kand. fiz.-matem. nauk, MIAN, Moskva, 2004 , 106 pp.

   2003
54. 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  crossref  mathscinet (cited: 3)  zmath  isi (cited: 12)  elib (cited: 7)  scopus (cited: 10)

   2002
55. A. Pechen, I. V. Volovich, “Quantum multipole noise and generalized quantum stochastic equations”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 5:4 (2002), 441–464 , arXiv: math-ph/0202046  crossref  mathscinet (cited: 1)  zmath  isi (cited: 6)  elib (cited: 4)  scopus (cited: 8)
56. 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  crossref  mathscinet (cited: 5)  zmath  adsnasa  isi (cited: 8)  elib (cited: 6)  scopus (cited: 7)

  
57. N. B. Il'in, A. N. Pechen, “A local maximum in the problem of maximization the transition probability in an $n$-level quantum system by quantum measurements”, TMF (to appear)  mathnet
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