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Mathematical modeling of processes in quantum computer elements based on methods of quantum theory to improve their efficiency
A.A. Biryukov 1, M.A. Shleenkov 2

1 Samara State Transport University,
443066, Samara, Russia, Svoboda str. 2V;
2 Samara National Research University,
443086, Samara, Russia, Moskovskoe shosse 34

 PDF, 705 kB

DOI: 10.18287/2412-6179-CO-1489

Pages: 889-893.

Full text of article: English language.

Abstract:
The paper studies entangled states of two qubits interacting with each other and with an electromagnetic field. The state of the qubits is determined by a statistical density matrix. The degree of entanglement of the state is characterized by the Peres-Gorodeckii (PG) parameter. The statistical density matrix and its evolution are determined in the energy representation within the framework of the path integral formalism. The obtained equations determine the dependence of the PG parameter on the parameters of qubit dipole-dipole interaction and the acting electromagnetic field. The results of numerical calculations are presented in graphs for the PG parameter. It is shown that it is possible to choose parameters corresponding to qubit states with a high degree of entanglement (0.99).

Keywords:
qubits, quantum entanglement, Peres-Gorodeckii parameter, path integration.

Citation:
Biryukov AA, Shleenkov MA. Mathematical modeling of processes in quantum computer elements based on methods of quantum theory to improve their efficiency. Computer Optics 2024; 48(6): 889-893. DOI: 10.18287/2412-6179-CO-1489.

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