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:
A. Pechen, N. Ilin, F. Shuang, H. Rabitz, “Quantum control by von Neumann measurements”, Phys. Rev. A, 74 (2006), 052102
A. Pechen, N. Ilin, “Trap-free manipulation in the Landau–Zener system”, Phys. Rev. A, 86 (2012), 052117
N. Il'in, A. Aristova, O. Lychkovskiy, “Quantum speed limits for an open system in contact with a thermal bath”, Phys. Rev. A, 110 (2024), 22203 , 10 pp., arXiv: 2302.13639;
2022
2.
N. B. Ilyin, “Quantum adiabatic theorem with energy gap regularization”, Theoret. and Math. Phys., 211:1 (2022), 545–557
2021
3.
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;
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. ;
5.
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;
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. ;
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
9.
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
10.
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
N. B. Il'in, A. N. Pechen, “Discrete approximations of dynamical quantum Zeno effect”, Journal of Mathematical Sciences, 241:2 (2019), 158–167
2016
13.
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
14.
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
2015
15.
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
16.
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
2014
17.
A. N. Pechen, N. B. Il'in, “Coherent control of a qubit is trap-free”, Proc. Steklov Inst. Math., 285 (2014), 233–240
2012
18.
A. Pechen, N. Il'in, “Trap-free manipulation in the Landau-Zener system”, Phys. Rev. A, 86 (2012), 052117 , arXiv: 1304.1357
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
2024
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