


Department of Mathematical Methods for Quantum Technologies
 Seminars 
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History, Goal and Research Areas 
Grants 
Conferences and Seminars 
Education and Popularization 
Publications 


Staff

Pechen Alexander Nikolaevich Doctor Phys.Math. Sci., Professor of RAS, Head of Department, Leading Scientific Researcher
office: 438 ; tel.: +7 (495) 984 81 41 * 39 92; email: pechen@miras.ru Principal fields of research:
Dynamics of open quantum systems. Quantum control.


Ageev Dmitrii Sergeevich Candidate Phys.Math. Sci., Senior Scientific Researcher
office: 807; email: ageev@miras.ru Principal fields of research:
holographic correspondence, quantum field theory, quantum information theory, chaos theory, quantum complexity theory.


Belokon Aleksandr Igorevich


Ermakov Igor Vladimirovich Junior Researcher
office: 809; email: ermakov1054@yandex.ru Principal fields of research:
quantum integrable systems, algebraic Bethe
ansatz, quantum dynamics, quantum many body scars, ultracold atoms, nonHermitian Hamiltonians.


Filippov Sergey Nikolaevich Candidate Phys.Math. Sci., Senior Scientific Researcher
office: 806; email: sergey.filippov@phystech.edu Personal page: https://sites.google.com/view/filippovsn
Principal fields of research:
quantum dynamical maps, quantum channels, quantum measurements, dynamics of quantum entanglement, tensor networks.


Kiktenko Evgeniy Olegovich Candidate Phys.Math. Sci., Senior Scientific Researcher
office: 431; email: evgeniy.kiktenko@gmail.com Principal fields of research:
quantum communication, quantum computing .


Kozubov Anton Vladimirovich Scientific Researcher
email: kozubov.anton@gmail.com


Kronberg Dmitry Anatolievich Candidate Phys.Math. Sci., Senior Scientific Researcher
office: 431; email: dmitry.kronberg@gmail.com Principal fields of research:
quantum cryptography, quantum information theory.


Lyakhov Konstantin Andreevich PhD, Senior Scientific Researcher
office: 809; email: lyakhov2000@yahoo.com Principal fields of research:
laser isotope separation, photonics, gas dynamics, vacuum and quantum technologies.


Lychkovskiy Oleg Valentinovich Candidate Phys.Math. Sci., Senior Scientific Researcher
office: 431; email: O.Lychkovskiy@skoltech.ru Principal fields of research:
quantum manybody dynamics, adiabatic approximation, adiabatic quantum computing, quantum integrable systems.


Morzhin Oleg Vasil'evich Candidate Phys.Math. Sci., Senior Scientific Researcher
office: 809; email: oleg_morzhin@miras.ru Principal fields of research:
optimal control, optimization methods, control of quantum systems.


Petruhanov Vadim Nikonovich Research Assistant
email: vadim.petrukhanov@gmail.com


Pushkarev Vasilii Vladimirovich
email: pushkarev@miras.ru


Teretenkov Aleksandr Evgen'evich Candidate Phys.Math. Sci., Senior Scientific Researcher
office: 429; email: taemsu@mail.ru Principal fields of research:
irreversible quantum dynamics with quadratic generators, exactly solvable models of nonMarkov quantum dynamics, quantum theory of open systems.


Avanesov Ashot Sergeevich Junior Researcher
email: avanesov@phystech.edu



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Seminars

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Twitter
https://twitter.com/QuantumSteklov

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History, Goal and Research Areas
The Department of Mathematical Methods for Quantum Technologies was established in Steklov Mathematical Institute in December 2018 on the base of the Laboratory of Mathematical Methods for Quantum Technologies, which was created in 2016. The Department was established with the goal of solving mathematical problems necessary for the development of quantum technologies. Quantum technologies exploit for practical purposes various specific properties of individual quantum systems such as photons, atoms, molecules. Examples of peculiar quantum properties are superposition of quantum states, quantum entanglement, Heisenberg uncertainty principle. Directions of quantum technologies include quantum information, quantum control, quantum computation and simulators, quantum cryptography, quantum metrology, etc. In this field, a number of mathematical problems arise which are investigated by the employees of the Department.
Tasks of the Department:
 Performing of fundamental and applied research in the areas:
 Open quantum systems;
 Quantum control;
 Quantum information;
 Quantum cryptography;
 Quantum complexity;
 Quantum tomography;
 Quantum teleportation;
 Manybody quantum systems;
 Adiabatic quantum computing;
 Nonequilibrium quantum dynamics;
 Holography & quantum information.
 Development and reading of novel training courses on quantum technologies for students, graduate students and young scientists in the Research and Education Center of Steklov Mathematical Institute and other Universities and Institutes, organization of workshops, popularization of quantum technologies.
Head of the Department — Alexander Pechen, Professor of the Russian Academy of Sciences, Doctor of Physical and Mathematical Sciences, specialist in the field of theory of open quantum systems, quantum control, quantum stochastic processes. In 2001 he graduated from Moscow State University, in 2004 received PhD degree at Steklov Institute, in the period 2005–2010 worked at Princeton University, in 2010–2012 at Weizmann Institute of Science. Then he came to Steklov Institute, where in 2014 obtained Doctor of Physical and Mathematical Sciences (Habilitation) degree. A. Pechen is a laureate of the Blavatnik Award (USA, 2009), International Incoming Marie Curie Fellowship (2011), and Moscow Government Award for Young Scientists (2013). He is a member of the Dissertation Council of Steklov Institute, of the Editorial board of the journal Infinite Dimensional Analysis, Quantum Probability and Related Topics, and of the Academic Council of the International Association "The Association for Quantum Probability and Infinite Dimensional Analysis".

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Grants Projects of the Russian Science Foundation performed in the Department:
 Project No. 171101388 «Mathematical Methods for Problems of Quantum Technologies and Dynamics of Open Quantum Systems» (2017–2019; Principal investigator A.N. Pechen);
 Project No. 171101388P «Mathematical Methods for Problems of Quantum Technologies and Dynamics of Open Quantum Systems» (prolonged; 2020–2021; Principal investigator A.N. Pechen);
 Project No. 187100074 «Using pseudorandom number generators in quantum cryptography» (2018–2019; Principal investigator D.A. Kronberg);
 Project No. 207110072 «The effect of interaction with the environment on the information properties of quantum channels» (2020–2022; Principal investigator D.A. Kronberg);

Project No. 221100330 «Mathematical methods for control problems in quantum systems» (2022–2024; Principal investigator A.N. Pechen).

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Conferences and Seminars
Seminar of the Department of Mathematical Methods
for Quantum Technologies, Steklov Mathematical Institute of RAS
Steklov Mathematical Institute, Gubkina 8
Workshop «Mathematical Methods in the Problems of Quantum Technology» was organised in the Steklov Institute on October 9, 2017. The participants from Princeton University (USA), National University of Jeju (Korea), Moscow Institute of Physics and Technology (Moscow Region), Skolkovo Institute of Science and Technology, Russian Quantum Center, Steklov Mathematical Institute (Moscow). Various topics in mathematical methods of quantum technologies were discussed including control of quantum systems, dynamics of open quantum systems, quantum cryptography, quantum adiabaticity, laserassisted isotope separation.
Second workshop «Mathematical Methods in the Problems of Quantum Technology» was held in the Steklov Institute on November 26, 2018. Participants from Steklov Institute, Tulane University (USA), National University of Jeju (Korea), MISiS, Moscow Institute of Physics and Technology, Skolkovo Institute of Science and Technology gave talks on various topics in mathematical methods of quantum technologies, including control of quantum systems, quantum Sinkhorn's theorem, quantum cryptography, laserassisted isotope separation, parametrizations of density matrices.
On November 25, 2019, the third youth workshop «Mathematical Methods in the Problems of Quantum Technologies» was held. The event was attended by researchers, graduate students and students of Steklov Mathematical Institute, MISIS, Center for Quantum Technologies at Moscow State University, Russian Quantum Center, MIPT, St. Petersburg State University, Skolkovo Institute of Science and Technology. The topics of quantum information theory, control of quantum systems, the theory of open quantum systems, quantum cryptography, quantum integrable systems, and optimal laser isotope separation were discussed.
On November 2–5, 2020, the conference "Mathematical methods in the problems of quantum technologies" was held. The conference was devoted to the discussion of problems in the fundamental areas of mathematical methods of quantum technologies, including quantum information theory, control of open quantum systems, the theory of open quantum systems, quantum cryptography, quantum chaos, quantum adiabaticity, and other areas.
On December 68, 2021, regular youth workshop "Mathematical Methods in the Problems of Quantum Technologies" was held in online format. Presented talks covered various topics related to quantum cryptography, theory of open quantum systems, quantum control, tensor networks for problems of quantum technologies, applications in condensed matter, and others.

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Education and Popularization In 2020, the Department «Methods of Modern Mathematics» was created at Moscow Institute of Physics and Technology on the base of Steklov Mathematical Institute. The Department includes Masters Program «Methods of Quantum Technologies and Mathematical Physics». The program offers courses by leading scientists on quantum information theory, quantum control, quantum cryptography and quantum communications, quantum computation and algorithms, theory of open quantum systems. These courses discuss both basic fundamental results and various applied methods closely connected with modern practical problems in the rapidly developing field of quantum technologies. Students of any universities who have passed the entrance exams can apply for program.
Web page of the Department: http://www.miras.ru/index.php?c=chairmfti&l=1
The contact person for the quantum profile is Alexander Pechen, apechen@gmail.com
The department researchers have developed and teach courses at the Scientific and Educational Center of the Steklov Mathematical Institute:
Popularization of Science:
Alexander Pechen, Vadim Petruhanov, Amir Arab, Quantum computers, cryptography and control, in the broadcast "Black holes. White spots" on TV channel "Culture", 28 and 30 May 2022. Video (in Russian)
Alexander Pechen, «Quantum technologies», Interview at NaukaPRO, October 4, 2020
Alexander Pechen, «Mathematics of quantum technologies», presentation at the General Meeting of the Branch of Mathematical Sciences, Russian Academy of Sciences (in Russian), 12 Nov 2018
Alexander Pechen, «Some topics in dynamics and control of quantum systems»,In the broadcast «Moscow. Territory of science» on radio station «Echo of Moscow» (in Russian), 29 May 2014 Listen
Dmitry Kronberg, «Quantum key distribution security and related problems»,
Colloquium of the Steklov Mathematical Institute of Russian Academy of Sciences, May 10, 2018
Dmitry Kronberg, «Quantum cryptography»,
Interview at NaukaPRO, November 29, 2020

List of publications

