Mathematical Institute named after V. A. Steklov RAS
Since 1921
Russia
Central Federal District of the Russian Federation
Moscow
119991, st. Gubkina, d. 8
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Owners
MIAN conducts fundamental, search and applied scientific research in the field of mathematics, mechanics, theoretical physics and computer science in the following areas: foundations of mathematics and mathematical logic, number theory, algebra, geometry, topology, algebraic geometry, real, complex and functional analysis, ordinary differential equations, including optimal control and dynamic systems, partial differential equations, mathematical physics, probability theory, mathematical statistics, discrete mathematics, including theoretical cryptography, theoretical computer science, quantum mechanics, quantum field theory, mathematical problems of particle physics, statistical physics, mathematical problems of mechanics, information and analytical systems in the field of natural sciences, popularization and promotion of mathematics. MIAN has made a fundamental contribution to these fields of mathematics, mechanics, theoretical physics and computer science.
Scientific research at the MIAN is carried out within the framework of a state assignment, projects of the Russian Science Foundation, Russian Foundation for Basic Research, competitions for state support of leading scientific schools, scientific research of young Russian scientists - candidates and doctors of sciences, scholarships of the President of the Russian Federation to young scientists and graduate students carrying out promising scientific research and development in priority areas of modernization of the Russian economy, fundamental research programs and targeted expenditures of the Russian Academy of Sciences.
The research results are published in leading international and Russian scientific journals, regularly included in the list of the most important achievements of Russian scientists in the field of mathematics, reported at international and European mathematical congresses, at numerous Russian and international conferences.
History
2025: Russian mathematicians develop algorithm for hacking quantum encryption systems
In mid-May 2025, scientists at the V. A. Steklov Mathematical Institute of the Russian Academy of Sciences created a new algorithm for hacking quantum encryption systems, which identifies previously unexplored vulnerabilities in security protocols. The researchers demonstrated ways to bypass security mechanisms and proposed solutions to develop more reliable encryption methods.
The results of the study, supported by a grant from the Russian Science Foundation (RNF), are published in the scientific journal Physical Review A. The new development can improve the security of banking transactions, secure communication lines, power grid systems and other critical infrastructure facilities.
Quantum cryptography is an advanced information protection technology based on the fundamental laws of quantum mechanics. Its fundamental difference from classical encryption methods lies in the theoretical invulnerability to hacking - any attempt to intercept data changes the quantum state of particles, which is immediately detected by the security system.
In commercial encryption systems, the coherent one-way encryption (COW) protocol is widely used, which has gained popularity due to its relative technical simplicity. This protocol is actively used in urban secure communication networks, in organizing secure channels between bank branches, as well as in critical infrastructure protection systems, where the balance between security and economic efficiency is important.
The operating principle of the COW protocol is based on the sender transmitting to the recipient a sequence of quantum states of light - laser pulses of various intensities. Encryption is provided by the quantum properties of these pulses, which are theoretically impossible to "spy on" without making changes. However, a significant problem is that the current methods of checking the security of COW do not take into account all possible types of attacks, in particular, combined attacks, when an attacker uses several methods of hacking at the same time.[1]
2024: Participation in a study of the effectiveness of quantum computing simulations on classical computers under noise conditions
Researchers at MISIS University, the Russian Quantum Center (RCC), the Moscow Institute of Physics and Technology (MIPT) and the Mathematical Institute named after V.A. Steklova found out how to increase the efficiency of simulating quantum computing on classical computers in noise conditions. MISIS announced this on August 2, 2024. Read more here.
Notes
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