Preview

Bulletin of State University of Education. Series: Physics and Mathematics

Advanced search

Modeling of entangled qubits

https://doi.org/10.18384/2310-7251-2023-1-27-33

Abstract

Aim. The similarity of classical and quantum correlations is revealed. The concept of modeling entangled states of quantum particles based on classical correlations is presented.

Methodology. The existing approaches to quantum computing are analyzed, in particular, the use of entangled states of quantum particles for quantum computing. Entangled states are modeled based on classical correlations. The main content of the study is the analysis of the algorithm of classical correlations.

Results. The performed analysis demonstrates the practical feasibility of modeling entangled quantum states by classical correlations. Using the results of the study, a conclusion is made about the possibility of modeling entangled quantum states by the algorithm described in the work, and a model based on radio-electronic components is also proposed. It is shown that this qubit model can become an inexpensive alternative to existing solutions for modeling quantum computing.

Research implications. A proposal is formulated for modeling entangled states of quantum particles using the classical correlation algorithm. The algorithm describes the parameters responsible for the entanglement and correlation of qubit models. A software model with a visual interface of a four-particle entangled state is presented. The model can serve as a demonstration of quantum applications related to entangled states, such as telecommunications cryptographic quantum protocol, Bell's inequality, and can also be used to simulate quantum computing based on entangled states of quantum particles.

About the Authors

N. V. Evdokimov
State University of Education
Russian Federation

Nikolay V. Evdokimov – Postgraduate student, Department of Fundamental Physics and Nanotechnology

ulitsa Very Voloshinoi 24, Mytishchi 141014, Moscow Region



T. F. Kamalov
State University of Education
Russian Federation

imur F. Kamalov – Cand. Sci. (Phys.-Math.), Assoc. Prof., Department of Fundamental Physics and Nanotechnology

ulitsa Very Voloshinoi 24, Mytishchi 141014, Moscow Region



O. A. Volkova
State University of Education
Russian Federation

Olga A. Volkova – Postgraduate student, Department of Fundamental Physics and Nanotechnology

ulitsa Very Voloshinoi 24, Mytishchi 141014, Moscow Region



M. H. Khamis Hassan
State University of Education
Russian Federation

Khamis Hassan Hosni Maher – Postgraduate student, Department of Fundamental Physics and Nanotechnology

ulitsa Very Voloshinoi 24, Mytishchi 141014, Moscow Region



Y. T. Kamalov
State University of Education
Russian Federation

Yuri T. Kamalov – Postgraduate student, Department of Fundamental Physics and Nanotechnology

ulitsa Very Voloshinoi 24, Mytishchi 141014, Moscow Region



References

1. Kamalov T. F. Axiomatization of classical and quantum physics of non-inertial reference frames. In: Quantum Computers and Computing, 2011, vol. 11, no. 1, pp. 52–57.

2. Rybakov Y. P., Kamalov T. F. Bell’s Theorem and Entangled Solitons. In: International Journal of Theoretical Physics, 2016, vol. 55, pp. 4075–4080. DOI: 10.1007/s10773-016-3035-6.

3. Garcia Zavala Y. M., Martinez Reyes M., Avila Aoki M. A Simulation of a Virtual Qubits on a Classical Computer has Been Developed Recently. In: CIENCIA ergo sum, 2011, vol. 18, núm. 2, pp. 171–178.

4. Evdokimov N. V., Klyshko D. N., Komolov V. P., Yarochkin V. A. Bell's inequalities and EPR – Bohm correlations: working classical radiofrequency model. In: Physics – Uspekhi, 1996, vol. 39, iss. 1, pp. 83–98. DOI: 10.1070/PU1996v039n01ABEH000129.

5. Kamalov T. F., Rybakov Y. P. Probabilistic Simulation of Quantum Computation. In: Quantum Computers and Computing, 2006, vol. 6, no. 1, pp. 125–136.


Review

Views: 113


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2949-5083 (Print)
ISSN 2949-5067 (Online)