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
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
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
9.
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
10.
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;
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
12.
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. 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. 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
15.
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
16.
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, “Discrete approximations of dynamical quantum Zeno effect”, Journal of Mathematical Sciences, 241:2 (2019), 158–167
18.
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;
19.
N. B. Ilyin, “Quantum adiabatic theorem with energy gap regularization”, Theoret. and Math. Phys., 211:1 (2022), 545–557
20.
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. ;
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
