Implementación Cuántica de un Algoritmo Genético

Mauricio Solar; Vicente Figueroa; Francisco Manriquez; Francisco Pizarro; Liuba Dombrovskaia

doi:10.36561/ING.27.14

Authors

Mauricio Solar Universidad Técnica Federico Santa María, Chile https://orcid.org/0000-0002-4433-4622
Vicente Figueroa Universidad Técnica Federico Santa María, Chile https://orcid.org/0009-0001-2391-8223
Francisco Manriquez Universidad Técnica Federico Santa María, Chile https://orcid.org/0009-0008-7045-4258
Francisco Pizarro Universidad Técnica Federico Santa María, Chile https://orcid.org/0009-0004-6317-6414
Liuba Dombrovskaia Universidad Técnica Federico Santa María, Chile https://orcid.org/0000-0001-6572-9765

DOI:

https://doi.org/10.36561/ING.27.14

Keywords:

Quantum Genetic Algorithm, Quantum Computing, Hybrid Quantum Genetic Algorithm

Abstract

This work provides a generalized view of the current state of quantum genetic algorithms (QGAs), showing the advances made in this research field over the last 24 years. QGAs combine concepts from quantum computing and classical genetic algorithms (CGAs), allowing them to address complex search and optimization problems efficiently. The main findings and contributions of these quantum algorithms are presented, highlighting the most promising trends and approaches, as well as the challenges and limitations that need to be overcome. New approaches and implementation techniques for QGAs are presented, including quantum genetic operators and efficient coding schemes that contribute to improving the performance and convergence of the algorithms. QGAs and other similar approaches, such as CGAs and pure quantum algorithms, are compared, highlighting the relative advantages and disadvantages of QGAs compared to their classical versions. An implementation of QGA using the Qiskit library is also shown. The selection of the methods used for the generation of the initial population, the crossing and the mutation of the different populations of the quantum circuits simulated in the experiments carried out are presented, exemplifying the significant advantages that these can bring in comparison with classical approaches.

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