Nikolay Ilyn

Professor Boris Fine. Undergraduate and graduate study: Moscow State University, Faculty of Physics (Departament of Theoretical Physics) 19952001. Master degree in Physics (2001). Thesis: Some solution in EinsteinBornInfeld theory. Supervisor D. V. Gal’tsov. Postgraduate study: Steklov Mathematical Institute of Russian Academy of Sciences (Departament of Mathematical Physics) 20122015. Ph.D in Mathematical Physics (2017). Thesis: Extrema of objective functionals in control problems for two-level quantum systems. Supervisor A. N. Pechen.

A study of local extrema of objective functionals for control problems of quantum systems, RFFI 14-01-31115 (20142015)

Quantum dynamics and control in nano and biosystems, RSF 14-11-00687 (20142016)

Modern mathematics and its applications, sect. Theoretical/Mathematical Physics and Topology, RSF 14-50-00005 (20142017)

Mathematical methods for problems of quantum technologies and dynamics of open quantum systems, RSF 17-11-01388 (2017)

Quantum adiabaticity in many-body systems, RSF 17-71-20158 (2017)

1. 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

2. A. Pechen, N. Il’in, Trap-free manipulation in the Landau-Zener system, Phys. Rev. A,86 (2012), 052117, 6 pp. arXiv:1304.1357

3. A. Pechen, N. Il’in, Coherent control of a qubit is trap-free, Proc. Steklov Math. Inst.,285, (2014), 233-240, arXiv:1407.5175

4. A. Pechen, N. Il’in, On critical points of the objective functional for maximization of qubit observables, Russian Math. Surveys, 70, 4, (2015), 782-784

5. A. Pechen, N. Il’in, On the problem of maximizing the transition probability in an n-level quantum system using nonselective measurements, Proc. Steklov Math. Inst., 294, (2016), 233-240

6. A. Pechen, N. Il’in, On extrema of the objective functional for short-time generation of single-qubit quantum gates, Izv. Math., 80, 6, (2016), 1200-1212

7. A. Pechen, N. Il’in, Control landscape for ultrafast manipulation by a qubit, Journal of Physics A: Mathematical and Theoretical, 50, 7, (2017), 075301

8. A. Pechen, N. Il’in, Discrete approximations of dynamical quantum Zeno eect, Quantumcomputing, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. VINITI, 138, (2017), 50-59

9. N. Il’in, E. Shpagina, F. Uskov, O. Lychkovskiy, Squaring parametrization of constrained and unconstrained sets of quantum states, Journal of Physics A: Mathematical and Theoretical, 51, 8, (2018), 085301

10. N. Il’in, O. Lychkovskiy, Quantum speed limits for adiabatic evolution, Loschmidt echo and beyond, arXiv:1805.04083


2014 Small award of the publishing company “Science/Interperiodika” for the best publication.