QUANTUM OPTIMIZATION METHODS

Authors

  • Дилноз Мухамедиева National Research University "Tashkent Institute of Irrigation and Agricultural Mechanization Engineers", Uzbekistan
  • Дильфуза Васиева National Research University "Tashkent Institute of Irrigation and Agricultural Mechanization Engineers", Uzbekistan

Keywords:

quantum algorithms, mathematical model, Grover's algorithm, objective function, traveling salesman problem.

Abstract

The paper examines the application of quantum algorithms to optimize energy systems, focusing on solving the routing problem in the context of energy. A proposed quantum approach uses the principles of superposition and inversion concerning the mean to effectively search for optimal energy routes. The quantum algorithm is implemented as a quantum circuit, the results are visualized and an analysis of optimal energy routes is provided.

References

E. Farhi and A. W. Harrow, Quantum supremacy through the quantum approximate optimization algorithm, arXiv preprint arXiv:1602.07674 (2016).

D. Guery-Odelin, A. Ruschhaupt, A. Kiely, E. Torrontegui, ´ S. Mart´ınez-Garaot, and J. G. Muga, Shortcuts to adiabaticity: Concepts, methods, and applications, Reviews of Modern Physics 91, 045001 (2019).

E. Torrontegui, S. Ibanez, S. Mart ´ ´ınez-Garaot, M. Modugno, A. del Campo, D. Guery-Odelin, A. Ruschhaupt, X. Chen, ´ and J. G. Muga, Shortcuts to adiabaticity, Advances in atomic, molecular, and optical physics 62, 117 (2013).

X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Guery- ´ Odelin, and J. G. Muga, Fast optimal frictionless atom cooling in harmonic traps: Shortcut to adiabaticity, Physical Review Letters 104, 063002 (2010).

Published

2024-07-20

How to Cite

QUANTUM OPTIMIZATION METHODS. (2024). Universal International Scientific Journal, 1(7), 72-78. https://universaljurnal.uz/index.php/jurnal/article/view/875