QUANTUM DYNAMICS AND CONTROL

Entry requirements:

•  Master’s degree / equivalent in a related field
•  B2 level of English
•  Good track record of publications related to the topic of the intended research
•  Strong research proposal 1,500 - 3,500 words

Research supervisor:
Alexander Pechen
PhD, DSc

Supervisor’s research interests:
My research interests lie in the booming field of quantum technologies. This field is now actively developed across the world, including in Russia, due to multiple existing and prospective applications. Further progress requires solving various mathematical problems related with dynamics nd control of quantum systems, especially of open uantum systems. My research includes diverse opics in mathematics of quantum technologies such s, in particular,

•  Quantum control;
•  Open quantum systems;
•  Quantum stochastic processes;
•  (un)computability;
•  Quantum error correction;
•  Laser-assisted isotope separation.

Research highlights:

•  World-leading research supported by various grants and projects, participation in international collaborations, conferences. Supervisor’s specific requirements:
•  General knowledge of quantum mechanics, interest either to rigorous mathematical analysis or to numerical optimization methods for quantum technology problems.

Main publications:

•  D. I. Bondar, A. N. Pechen, “Non Computability and complexity of quantum control”, Scientific Reports, 10, 1195 (2020).
•  G. G. Amosov, A. S. Mokeev, A. N. Pechen, “Noncommutative graphs and quantum error correction for a two-mode quantum oscillator”, Quantum Information Processing, 19:3 (2020).
•  S. N. Filippov, G. N. Semin, A. N. Pechen, “Quantum master equations for a system interacting with a quantum gas in the low-density limit and for the semiclassical collision model”, Phys. Rev. A, 101, 12114 (2020).
•  K. A. Lyakhov, H. J. Lee, A. N. Pechen, “Some issues of industrial scale boron isotopes separation by the laser assisted retarded condensation (SILARC) method”, Separation and Purification Technology, 176:4, 402–411 (2017).
•  A.N. Pechen, N.B. Ilin, “Control landscape for ultrafast manipulation by a qubit”, Journal of Physics A: Mathematical and Theoretical, 50:7, 75301 (2017).
•  A. N. Pechen, A. S. Trushechkin, “Measurementassisted Landau-Zener transitions”, Phys. Rev. A, 91:5, 052316 (2015).
•  A. N. Pechen, D. J. Tannor, “Are there traps in quantum control landscapes?”, Phys. Rev. Lett., 106, 120402 (2011).
•  A. Pechen, H. Rabitz, “Teaching the environment to control quantum systems”, Phys. Rev. A, 73, 062102 (2006).