"Quantum Machine Learning Algorithms for Complex Optimization Problems"
Keywords:
Quantum Machine Learning (QML), Complex Optimization Problems, Quantum Annealing, Variational Quantum Eigensolvers, Quantum Neural Networks, Hybrid Quantum-Classical AlgorithmsAbstract
In recent years, the intersection of quantum computing and machine learning has emerged as a promising frontier for addressing complex optimization problems that are computationally intractable for classical approaches. This paper presents a comprehensive review and analysis of quantum machine learning (QML) algorithms tailored for complex optimization tasks. We explore the theoretical foundations of quantum-enhanced algorithms, including quantum annealing, variational quantum eigensolvers, and quantum neural networks, highlighting their potential advantages over classical methods in terms of convergence speed and solution accuracy. The paper further investigates practical implementations and hybrid quantum-classical strategies that leverage quantum resources to tackle large-scale optimization problems in diverse fields such as combinatorial optimization, financial modeling, and structural design. We also discuss current challenges and limitations, including hardware constraints and algorithmic scalability, and propose future research directions to bridge the gap between theoretical potential and practical application. Our findings suggest that while QML holds substantial promise, significant advancements are required to fully realize its capabilities in solving complex optimization problems.
Downloads
References
Books:
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, 10th Anniversary ed. Cambridge, UK: Cambridge University Press, 2010.
Journal Articles:
L. K. Grover, "A fast quantum mechanical algorithm for database search," Proceedings of the Twenty-Eighth Annual ACM Symposium on Theory of Computing (STOC), pp. 212-219, 1996.
E. Farhi, J. Goldstone, and S. Gutmann, "A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem," Science, vol. 292, no. 5516, pp. 472-475, Apr. 2001.
A. Peruzzo et al., "A variational eigenvalue solver on a photonic quantum processor," Nature, vol. 534, no. 7606, pp. 529-533, Jun. 2016.
E. Farhi, J. Goldstone, and S. Gutmann, "Quantum algorithms for fixed points," arXiv:1411.4028, Nov. 2014.
M. Cerezo, E. Corrigan, and P. J. Coles, "Variational quantum algorithms," Nature Reviews Physics, vol. 3, no. 9, pp. 625-644, Sep. 2021.
J. Biamonte et al., "Quantum machine learning," Nature, vol. 549, no. 7671, pp. 195-202, Sep. 2017.
A. Jha, J. Liu, and M. Saffman, "Optimizing optimization: A quantum approach to solving optimization problems," arXiv:1904.10581, Apr. 2019.
J. Preskill, "Quantum computing in the NISQ era and beyond," Quantum, vol. 2, p. 79, Aug. 2018.
S. Zohren and D. Cocks, "Quantum algorithms for optimization," Nature Reviews Physics, vol. 2, pp. 228-243, Jun. 2020
N. V. A. Ravikumar, R. S. S. Nuvvula, P. P. Kumar, N. H. Haroon, U. D. Butkar and A. Siddiqui, "Integration of Electric Vehicles, Renewable Energy Sources, and IoT for Sustainable Transportation and Energy Management: A Comprehensive Review and Future Prospects," 2023 12th International Conference on Renewable Energy Research and Applications (ICRERA), Oshawa, ON, Canada, 2023, pp. 505-511, doi: 10.1109/ICRERA59003.2023.10269421.
A. K. Bhaga, G. Sudhamsu, S. Sharma, I. S. Abdulrahman, R. Nittala and U. D. Butkar, "Internet Traffic Dynamics in Wireless Sensor Networks," 2023 3rd International Conference on Advance Computing and Innovative Technologies in Engineering (ICACITE), Greater Noida, India, 2023, pp. 1081-1087, doi: 10.1109/ICACITE57410.2023.10182866.
Downloads
Published
How to Cite
Issue
Section
License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
All papers should be submitted electronically. All submitted manuscripts must be original work that is not under submission at another journal or under consideration for publication in another form, such as a monograph or chapter of a book. Authors of submitted papers are obligated not to submit their paper for publication elsewhere until an editorial decision is rendered on their submission. Further, authors of accepted papers are prohibited from publishing the results in other publications that appear before the paper is published in the Journal unless they receive approval for doing so from the Editor-In-Chief.
IJISAE open access articles are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. This license lets the audience to give appropriate credit, provide a link to the license, and indicate if changes were made and if they remix, transform, or build upon the material, they must distribute contributions under the same license as the original.