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Ilin, Nikolay Borisovich

Total publications: 18 (18)
in MathSciNet: 10 (10)
in zbMATH: 3 (3)
in Web of Science: 15 (15)
in Scopus: 17 (17)
Cited articles: 14
Citations in Math-Net.Ru: 40
Citations in Web of Science: 91
Citations in Scopus: 167
Presentations: 14

Number of views:
This page:2260
Abstract pages:2808
Full texts:337
References:205
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 Ilin graduated from Lomonosov Moscow State University in 2001 (Faculty of Physics, Department of Theoretical Physics). Since 2012 N. Ilin 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. Ilin, F. Shuang, H. Rabitz, “Quantum control by von Neumann measurements”, Phys. Rev. A, 74 (2006), 052102  crossref  zmath  adsnasa
  2. A. Pechen, N. Ilin, “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
https://www.scopus.com/authid/detail.url?authorId=15052000900

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



   2021
1. N. Il'in, O. Lychkovskiy, “Quantum speed limits for adiabatic evolution, Loschmidt echo and beyond”, Internat. J. Theoret. Phys., 60 (2021), 640–649 , arXiv: 1805.04083  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus;
2. N. Il'in, E. Shpagina, O. Lychkovskiy, “Thermodynamics at zero temperature: Inequalities for the ground state of a quantum many-body system”, Phys. Lett. A, 414 (2021), 127637 , 5 pp.  mathnet  crossref  isi  scopus;
3. Nikolai Il'in, Anastasia Aristova, Oleg Lychkovskiy, “Adiabatic theorem for closed quantum systems initialized at finite temperature”, Phys. Rev. A, 104:3 (2021), 30202 , 10 pp., arXiv: 2002.02947  mathnet  crossref  isi  scopus;
4. Nikolai Il'in, Oleg Lychkovskiy, “Quantum speed limit for thermal states”, Phys. Rev. A, 103:6 (2021), 62204 , 7 pp.  mathnet  crossref  isi  scopus (cited: 2);

   2020
5. E. Shpagina, F. Uskov, N. Il'in, O. Lychkovskiy, “Merits of using density matrices instead of wave functions in the stationary Schrödinger equation for systems with symmetries”, J. Phys. A, 53 (2020), 75301 , 10 pp.  mathnet  crossref  mathscinet  isi  scopus (cited: 1);  mathscinet

   2018
6. 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  isi (cited: 1)  elib  scopus (cited: 1)
7. N. B. Il'in, 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: 3)
8. 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  mathscinet  isi (cited: 8)  scopus (cited: 8)

   2017
9. Alexander Pechen, Nikolay Il'in, “Control landscape for ultrafast manipulation by a qubit”, J. Phys. A, 50:7 (2017), 75301 , 14 pp.  mathnet  crossref  mathscinet  isi (cited: 6)  scopus (cited: 7)

   2019
10. N. B. Il'in, A. N. Pechen, “Discrete approximations of dynamical quantum Zeno effect”, Journal of Mathematical Sciences, 241:2 (2019), 158–167  mathnet  crossref  mathscinet  zmath  scopus

   2016
11. 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 (cited: 3)  elib  elib  scopus (cited: 2)
12. 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)

   2015
13. 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: 9)  elib  elib  scopus (cited: 6)
14. 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)

   2014
15. 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: 11)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 7)

   2012
16. A. Pechen, N. Il'in, “Trap-free manipulation in the Landau-Zener system”, Phys. Rev. A, 86 (2012), 052117 , arXiv: 1304.1357  mathnet  crossref  adsnasa  isi (cited: 17)  elib  scopus (cited: 20)
17. 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: 17)  elib  scopus (cited: 20)

   2006
18. A. Pechen, N. Il'in, F. Shuang, H. Rabitz, “Quantum control by von Neumann measurements”, Phys. Rev. A, 2006, 052102 , arXiv: quant-ph/0606187  crossref  elib  scopus (cited: 80)

Presentations in Math-Net.Ru
1. Squaring parametrization of density matrices
N. B. Il'in
Second International Youth Workshop "Mathematical Methods in the Problems of Quantum Technologies"
November 26, 2018 16:20   
2. Квадратичная параметризация матриц плотности
N. B. Il'in
Infinite dimensional analysis and mathematical physics
October 2, 2017 18:30
3. 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
4. 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   
5. Some topics in control of two-level quantum systems
N. B. Il'in
Problems of Mathematical Control Theory
March 4, 2016 15:00
6. Экстремумы целевых функционалов в задачах управления двухуровневыми квантовыми системами
N. B. Il'in
Infinite dimensional analysis and mathematical physics
February 22, 2016 18:30
7. 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
8. Ловушки в задачах управления двухуровневыми квантовыми системами
N. B. Il'in
Infinite dimensional analysis and mathematical physics
October 12, 2015 18:30
9. 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   
10. 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
11. 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
12. 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   
13. 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   
14. 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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