Authors :
Diwakar Mainali; Megan Nagarkoti; Bijen Shrestha; Deepika Puri; Pranish Bista; Ojaswi Adhikari; Aanchal Nagarkoti Shrestha; Dr. Om Prakash sharma
Volume/Issue :
Volume 9 - 2024, Issue 8 - August
Google Scholar :
https://tinyurl.com/fm2n89j9
Scribd :
https://shorturl.at/KgWPs
DOI :
https://doi.org/10.38124/ijisrt/IJISRT24AUG483
Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.
Abstract :
Quantum computing is quickly becoming a
field that can change the game. It can completely change
how businesses solve optimisation problems. We will be
looking at three different quantum algorithms in great
detail: the Quantum Approximate Optimisation
Algorithm (QAOA), the Variational Quantum
Eigensolver (VQE), and Grover's Algorithm. We look
into how these algorithms work on the inside, how they
compare to more traditional methods, and how they
might be used in areas like energy, banking, and
logistics. The piece then talks about current research
projects that are trying to fix the technical issues and
hardware limits of quantum technology. In the end, we
look ahead to possible future developments that might
help solve optimisation problems, such as better
quantum gear and more complex quantum algorithms.
By combining what has already been written with what
is new, this study aims to shed light on how quantum
computing could help solve tough optimisation problems
and spark new ideas.
Keywords :
Quantum Computing, Optimization Algorithms, Grover's Algorithm, Quantum Approximate Optimization Algorithm (QAOA), Variational Quantum Eigensolver (VQE), Quantum Hardware, Quantum Algorithms, Combinatorial Optimization, Quantum Error Correction, Future Directions.
References :
- M. Cerezo et al., "Variational quantum algorithms," Nature Reviews Physics, vol. 3, no. 9, pp. 625-644, 2021.
- P. Ronagh, "Quantum algorithms for solving dynamic programming problems," arXiv preprint arXiv:1906. 02229, 2019.
- K. Bharti et al., "Noisy intermediate-scale quantum algorithms," Reviews of Modern Physics, vol. 94, no. 1, p. 015004, 2022.
- L. Bittel and M. Kliesch, "Training variational quantum algorithms is NP-hard," Physical Review Letters, vol. 127, no. 12, p. 120502, 2021.
- A. Gilyén, S. Arunachalam, and N. Wiebe, "Optimizing quantum optimization algorithms via faster quantum gradient computation," in Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms, 2019, pp. 1425-1444.
- I. Kerenidis, A. Prakash, and D. Szilágyi, "Quantum algorithms for portfolio optimization," in Proceedings of the 1st ACM Conference on Advances in Financial Technologies, 2019, pp. 147-155.
- G. Verdon, J. M. Arrazola, K. Brádler, and N. Killoran, "A quantum approximate optimization algorithm for continuous problems," arXiv preprint arXiv:1902.00409, 2019.
- Y. H. Oh et al., "Solving multi-coloring combinatorial optimization problems using hybrid quantum algorithms," arXiv preprint arXiv:1911. 00595, 2019.
- D. Amaro et al., "Filtering variational quantum algorithms for combinatorial optimization," Quantum Science and Technology, vol. 7, no. 1, p. 015021, 2022.
- Z. C. Yang et al., "Optimizing variational quantum algorithms using pontryagin’s minimum principle," Physical Review X, vol. 7, no. 2, p. 021027, 2017.
- M. Lubasch et al., "Variational quantum algorithms for nonlinear problems," Physical Review A, vol. 101, no. 1, p. 010301, 2020.
- G. De Palma, M. Marvian, C. Rouzé, and D. S. França, "Limitations of variational quantum algorithms: a quantum optimal transport approach," PRX Quantum, vol. 4, no. 1, p. 010309, 2023.
- D. Pastorello, E. Blanzieri, and V. Cavecchia, "Learning adiabatic quantum algorithms over optimization problems," Quantum Machine Intelligence, vol. 3, pp. 1-19, 2021.
- D. Stilck França and R. Garcia-Patron, "Limitations of optimization algorithms on noisy quantum devices," Nature Physics, vol. 17, no. 11, pp. 1221-1227, 2021.
- C. Grange, M. Poss, and E. Bourreau, "An introduction to variational quantum algorithms for combinatorial optimization problems," 4OR, vol. 21, no. 3, pp. 363-403, 2023.
Quantum computing is quickly becoming a
field that can change the game. It can completely change
how businesses solve optimisation problems. We will be
looking at three different quantum algorithms in great
detail: the Quantum Approximate Optimisation
Algorithm (QAOA), the Variational Quantum
Eigensolver (VQE), and Grover's Algorithm. We look
into how these algorithms work on the inside, how they
compare to more traditional methods, and how they
might be used in areas like energy, banking, and
logistics. The piece then talks about current research
projects that are trying to fix the technical issues and
hardware limits of quantum technology. In the end, we
look ahead to possible future developments that might
help solve optimisation problems, such as better
quantum gear and more complex quantum algorithms.
By combining what has already been written with what
is new, this study aims to shed light on how quantum
computing could help solve tough optimisation problems
and spark new ideas.
Keywords :
Quantum Computing, Optimization Algorithms, Grover's Algorithm, Quantum Approximate Optimization Algorithm (QAOA), Variational Quantum Eigensolver (VQE), Quantum Hardware, Quantum Algorithms, Combinatorial Optimization, Quantum Error Correction, Future Directions.