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Il'in Nikolay Borisovich

Total publications: 13 (13)
in MathSciNet: 3 (3)
in zbMATH: 1 (1)
in Web of Science: 9 (9)
in Scopus: 9 (9)
Cited articles: 6
Citations in Math-Net.Ru: 15
Citations in MathSciNet (by Sep 2017): 1
Citations in Web of Science: 33
Citations in Scopus: 28
Presentations: 13

Number of views:
This page:812
Abstract pages:1318
Full texts:28
References:117
Candidate of physico-mathematical sciences (2017)
Speciality: 01.01.03 (Mathematical physics)
E-mail:
Keywords: mathematical physics, quantum mechanics, quantum control.

Subject:

Quantum control.

Biography

Nikolay Il'in graduated from Lomonosov Moscow State University in 2001 (Faculty of Physics, Department of Theoretical Physics). Since 2012 N. Il'in is on post-graduate study in the Steklov Mathematical Institute of Russian Academy of Sciences (Department of Mathematical Physics).

   
Main publications:
  1. A. Pechen, N. Il'in, F. Shuang, H. Rabitz, “Quantum control by von Neumann measurements”, Phys. Rev. A, 74 (2006), 052102  crossref  zmath  adsnasa
  2. A. Pechen, N. Il'in, “Trap-free manipulation in the Landau–Zener system”, Phys. Rev. A, 86 (2012), 052117  crossref  adsnasa

http://www.mathnet.ru/eng/person75948
List of publications on Google Scholar
List of publications on ZentralBlatt
http://www.researcherid.com/rid/Q-5722-2016
http://www.scopus.com/authid/detail.url?authorId=15052000900

Full list of publications:
| by years | by types | by times cited | scientific publications | common list |



   2018
1. 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  isi  elib  scopus
2. N. B. Il'in, A. N. Pechen, Complex analysis, mathematical physics, and applications, Collected papers, Tr. Mat. Inst. Steklova, 301, MAIK Nauka/Interperiodica, Moscow, 2018 (to appear)  mathnet
3. N. Il'in, E. Shpagina, F. Uskov, O. Lychkovskiy, “Squaring parametrization of constrained and unconstrained sets of quantum states”, J. Phys. A, 51 (2018), 85301 , 19 pp., arXiv: 1704.03861  mathnet  crossref  isi  scopus

   2017
4. 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 (cited: 2)  scopus (cited: 2)
5. 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

   2016
6. 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  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 (cited: 2)  elib  elib  scopus (cited: 2)

   2015
8. 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: 6)  elib  scopus (cited: 5)
9. 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: 7)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 5)

   2014
10. A. N. Pechen, N. B. Il'in, “Coherent control of a qubit is trap-free”, Proc. Steklov Inst. Math., 285 (2014), 233–240  mathnet  crossref  crossref  isi (cited: 6)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)

   2012
11. A. Pechen, N. Il'in, “Trap-free manipulation in the Landau-Zener system”, Phys. Rev. A, 86 (2012), 052117 , arXiv: 1304.1357
12. A. Pechen, N. Il'in, “Trap-free manipulation in the Landau–Zener system”, Phys. Rev. A, 86:5 (2012), 52117 , 6 pp.  mathnet  crossref  adsnasa  isi (cited: 10)  scopus (cited: 11)

   2006
13. A. Pechen, N. Il'in, F. Shuang, H. Rabitz, “Quantum control by von Neumann measurements”, Phys. Rev. A, 2006, 052102 , arXiv: quant-ph/0606187

Presentations in Math-Net.Ru
1. Квадратичная параметризация матриц плотности
N. B. Il'in
Infinite dimensional analysis and mathematical physics
October 2, 2017 18:30
2. Экстремумы целевых функционалов в задачах управления двухуровневыми квантовыми системами
N. B. Il'in
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
May 11, 2017 13:00
3. On extrema of the objective functional for the problem of ultra-fast generation of single qubit quantum gates.
N. B. Il'in
The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics
May 15, 2016 16:50   
4. Some topics in control of two-level quantum systems
N. B. Il'in
Problems of Mathematical Control Theory
March 4, 2016 15:00
5. Экстремумы целевых функционалов в задачах управления двухуровневыми квантовыми системами
N. B. Il'in
Infinite dimensional analysis and mathematical physics
February 22, 2016 18:30
6. Экстремумы целевых функционалов в задачах управления двухуровневыми квантовыми системами
N. B. Il'in
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
October 22, 2015 14:00
7. Ловушки в задачах управления двухуровневыми квантовыми системами
N. B. Il'in
Infinite dimensional analysis and mathematical physics
October 12, 2015 18:30
8. Traps in control problems of two-level quantum systems
N. B. Il'in, A. N. Pechen
Quantum physics and quantum information
October 6, 2015 11:00   
9. Ловушки в задачах управления двухуровневыми квантовыми системами
N. B. Il'in
Mathematical problems of quantum theory of nanosystems and photosynthesis
September 17, 2015 17:30
10. Traps for the control problem of a qubit at short times
A. N. Pechen, N. B. Il'in
International Conference on Mathematical Control Theory and Mechanics
July 3, 2015 16:10
11. Geometry of random landscapes for control of a qubit
N. B. Il'in, A. N. Pechen
Random geometry and physics
September 8, 2014 16:40   
12. Absense of Local Maxima for Optimal Control of Two-Level Quantum Systems
Nikolay Il'in
International youth conference "Geometry & Control"
April 15, 2014 12:00   
13. Absence of local maxima for optimal control of two-level quantum systems
N. B. Il'in
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
April 3, 2014 11:00

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