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Research objectives:

Theory of quantum information structures.
Research in quantum information structures identifies the basic theoretical framework for quantum technologies, i.e., creates concepts and methods that allow us to define quantum technologies, determine the fundamental theoretical and practical limits of their functionality, and finally certify their implementations.

Quantum bit implementations.
Hybrid superconductor or semiconductor systems are promising candidates for quantum bits. We intend to participate in the research of theoretical models for “quantum dots” in silicon and molecular nanomagnets, which have two significant properties for quantum computing:

Quantum simulations and computational complexity.
The development of state-of-the-art simulation methods for large quantum mechanical systems and their application in solid-state physics and quantum chemistry. Quantum simulations are an area where the most significant applications of medium-sized and slightly noisy quantum chips developed in the near future are expected. This intention includes the design of new algorithms to study properties of quantum phases (topological arrangements) for the analysis of hyperbolic geometries of spacetime (quantum theory of gravity), fractal structures, and multidimensional quantum states of particles. Since simulations are inherently challenging, the second goal of this intent is to understand the computational complexity of simulation and optimization tasks that occur in industrial applications (chip transistor layout design, image recognition) and solid-state physics (finding the lowest energy states, understanding correlations). The result will be not only basic research at the border of theoretical computer science and quantum physics but also practical, more efficient optimization algorithms that make full use of available quantum resources (coupling, superposition, tunneling).

Quantum and postquantum communication networks.
Quantum communication infrastructure is mainly a research infrastructure, and its construction and optimization are the subject not only of engineering but also of experimental and theoretical research. As part of this plan, we will focus on experimental testing of various alternatives and approaches, a new protocol for implementation-safe quantum communication, secure distribution of cryptographic keys (interconnected quantum states), and the development of efficient and unconditionally secure post-quantum (asymmetric) cryptography. The question of a safe combination of standard symmetric and post-quantum asymmetric cryptography with quantum key distribution and the use of combined protocols will also be interesting. 

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