3 papers
hep-th2026
Limits of the inverse scattering problem
Matvei Fedin, Kirill Gubarev, Andrey Morozov
The main goal of tomography is the reconstruction of density function out of its line integrals (integral measurements of this density along x-ray lines). Such construction is poss…
quant-ph2026
Machine Learning Approaches to Building Quantum Circuits for Sets of Matrices
Matvei Fedin, Andrei Morozov
Machine learning nowadays becomes a useful instrument in many subjects. In this paper we use interpretable machine learning to build quantum algorithm. By studying the parameters o…
quant-ph2025
Mathematical aspects of the decomposition of diagonal U(N) operators
M. M. Fedin, A. A. Morozov
We prove the decomposition of arbitrary diagonal operators into tensor and matrix products of smaller matrices, focusing on the analytic structure of the resulting formulas and the…