7 citations · 13 across the 7 of their papers we have counts for
7 papers
Study of the effect of quantum noise on the accuracy of the Schrodinger equation simulation on a quantum computer using the Zalka-Wiesner method
Yu. I. Bogdanov, N. A. Bogdanova, D. V. Fastovets +1
The study of the effect of quantum noise on the accuracy of modeling quantum systems on a quantum computer using the Zalka-Wiesner method is carried out. The efficiency of the deve…
Machine learning methods in quantum computing theory
D. V. Fastovets, Yu. I. Bogdanov, B. I. Bantysh +1
Classical machine learning theory and theory of quantum computations are among of the most rapidly developing scientific areas in our days. In recent years, researchers investigate…
Quantum approach to the dynamical systems modeling
Yu. I. Bogdanov, N. A. Bogdanova, D. V. Fastovets +1
We present a general approach to the classical dynamical systems simulation. This approach is based on classical systems extension to quantum states. The proposed theory can be app…
Representation of Boolean functions in terms of quantum computation
Yu. I. Bogdanov, N. A. Bogdanova, D. V. Fastovets +1
The relationship between quantum physics and discrete mathematics is reviewed in this article. The Boolean functions unitary representation is considered. The relationship between…
The influence of quantum noise on the Grover algorithm and quantum Fourier transform: quantum operations theory approach
Yu. I. Bogdanov, A. Yu. Chernyavskiy, B. I. Bantysh +2
The method of noisy multiqubit quantum circuits modeling is proposed. The analytical formulas for the dependence of quantum algorithms accuracy on qubits count and noise level are…
Schmidt decomposition and multivariate statistical analysis
Yu. I. Bogdanov, N. A. Bogdanova, D. V. Fastovets +1
The new method of multivariate data analysis based on the complements of classical probability distribution to quantum state and Schmidt decomposition is presented. We considered S…
Numerical and analytical research of the impact of decoherence on quantum circuits
Yu. I. Bogdanov, A. Yu. Chernyavskiy, B. I. Bantysh +5
Three different levels of noisy quantum schemes modeling are considered: vectors, density matrices and Choi-Jamiolkowski related states. The implementations for personal computers…