Quantum Computing Essentials: Bridging Theory and Practice for New Learners
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Abstract
This paper investigates the core principles of quantum computation, providing an in-depth understanding of quantum phenomena and illustrating how these principles form the scientific foundation of the field. The pivotal physical concepts, such as properties of subatomic particles, including electrons and photons, as well as their mathematical description through linear algebra are examined. It focuses on the qubit, the quantum analogue of a classical bit, featuring properties like superposition, entanglement, and wave function collapse, which redefine the traditional concept of information processing. The mathematical structures that underlie quantum system modelling—vector spaces, tensor products, and Dirac notation—are also systematically explained. Essential components of quantum computation involve logic gates such as Pauli matrices and Hadamard gates, which demonstrate the novel application of qubits in unique ways. This sets up an important theme of the interdependence and potential for transformation of quantum states through the illustration of advanced ideas of quantum entanglement and teleportation. Quantum circuits serve as an outstanding example of how reversibility and superposition are exploited to solve complex problems at unprecedented levels of efficiency. The paper also highlights the Deutsch-Jozsa algorithm as a compelling example of quantum superiority over traditional computational approaches. Together, these findings emphasize the transformative potential of quantum computing for science and industry.
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References
- Griffiths, D. J., & Schroeter, D. F. (2018). Introduction to Quantum Mechanics (3rd ed.). Cambridge University Press.
[CrossRef] [Google Scholar] - Rietsche, R., Dremel, C., Bosch, S., Steinacker, L., Meckel, M., & Leimeister, J. M. (2022). Quantum computing. Electronic Markets, 32(4), 2525-2536.
[CrossRef] [Google Scholar] - Rieffel, E., & Polak, W. (2000). An introduction to quantum computing for non-physicists. ACM Computing Surveys (CSUR), 32(3), 300-335.
[CrossRef] [Google Scholar] - Nielsen, M. A., & Chuang, I. L. (2010). Quantum computation and quantum information. Cambridge University Press.
[Google Scholar] - Ladd, T. D., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C., & O’Brien, J. L. (2010). Quantum computers. Nature, 464(7285), 45-53.
[CrossRef] [Google Scholar] - Mathew, S. (2014). The Spooky World of Quantum Entanglement. In Essays on the Frontiers of Modern Astrophysics and Cosmology (pp. 149-162). Cham: Springer International Publishing.
[CrossRef] [Google Scholar] - Yin, J., Cao, Y., Li, Y. H., Liao, S. K., Zhang, L., Ren, J. G., ... & Pan, J. W. (2017). Satellite-based entanglement distribution over 1200 kilometers. Science, 356(6343), 1140-1144.
[CrossRef] [Google Scholar] - Pathak, A. (2013). Elements of quantum computation and quantum communication (pp. 92-98). Boca Raton: CRC Press.
[Google Scholar]
[Google Scholar]- 439(1907), 553-558.
[CrossRef] [Google Scholar] - IBM Quantum Platform. (n.d.). IBM Quantum Learning. Retrieved June 2025, from https://quantum.cloud.ibm.com/learning/en/courses/basics-of-quantum-information/quantum-circuits/introduction.
[Google Scholar] - Vathsan, R. (2015). Introduction to quantum physics and information processing. CRC Press.
[Google Scholar]
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Cite This Article
TY - JOUR AU - Aggarwal, Vansh AU - Aggarwal, Shubhani AU - Bhardwaj, Aanshi AU - Gupta, Vishan Kumar PY - 2025 DA - 2025/11/06 TI - Quantum Computing Essentials: Bridging Theory and Practice for New Learners JO - ICCK Transactions on Machine Intelligence T2 - ICCK Transactions on Machine Intelligence JF - ICCK Transactions on Machine Intelligence VL - 1 IS - 3 SP - 117 EP - 126 DO - 10.62762/TMI.2025.173543 UR - https://www.icck.org/article/abs/TMI.2025.173543 KW - quantum computing KW - qubit and superposition KW - quantum entanglement KW - quantum algorithms AB - This paper investigates the core principles of quantum computation, providing an in-depth understanding of quantum phenomena and illustrating how these principles form the scientific foundation of the field. The pivotal physical concepts, such as properties of subatomic particles, including electrons and photons, as well as their mathematical description through linear algebra are examined. It focuses on the qubit, the quantum analogue of a classical bit, featuring properties like superposition, entanglement, and wave function collapse, which redefine the traditional concept of information processing. The mathematical structures that underlie quantum system modelling—vector spaces, tensor products, and Dirac notation—are also systematically explained. Essential components of quantum computation involve logic gates such as Pauli matrices and Hadamard gates, which demonstrate the novel application of qubits in unique ways. This sets up an important theme of the interdependence and potential for transformation of quantum states through the illustration of advanced ideas of quantum entanglement and teleportation. Quantum circuits serve as an outstanding example of how reversibility and superposition are exploited to solve complex problems at unprecedented levels of efficiency. The paper also highlights the Deutsch-Jozsa algorithm as a compelling example of quantum superiority over traditional computational approaches. Together, these findings emphasize the transformative potential of quantum computing for science and industry. SN - 3068-7403 PB - Institute of Central Computation and Knowledge LA - English ER -
@article{Aggarwal2025Quantum,
author = {Vansh Aggarwal and Shubhani Aggarwal and Aanshi Bhardwaj and Vishan Kumar Gupta},
title = {Quantum Computing Essentials: Bridging Theory and Practice for New Learners},
journal = {ICCK Transactions on Machine Intelligence},
year = {2025},
volume = {1},
number = {3},
pages = {117-126},
doi = {10.62762/TMI.2025.173543},
url = {https://www.icck.org/article/abs/TMI.2025.173543},
abstract = {This paper investigates the core principles of quantum computation, providing an in-depth understanding of quantum phenomena and illustrating how these principles form the scientific foundation of the field. The pivotal physical concepts, such as properties of subatomic particles, including electrons and photons, as well as their mathematical description through linear algebra are examined. It focuses on the qubit, the quantum analogue of a classical bit, featuring properties like superposition, entanglement, and wave function collapse, which redefine the traditional concept of information processing. The mathematical structures that underlie quantum system modelling—vector spaces, tensor products, and Dirac notation—are also systematically explained. Essential components of quantum computation involve logic gates such as Pauli matrices and Hadamard gates, which demonstrate the novel application of qubits in unique ways. This sets up an important theme of the interdependence and potential for transformation of quantum states through the illustration of advanced ideas of quantum entanglement and teleportation. Quantum circuits serve as an outstanding example of how reversibility and superposition are exploited to solve complex problems at unprecedented levels of efficiency. The paper also highlights the Deutsch-Jozsa algorithm as a compelling example of quantum superiority over traditional computational approaches. Together, these findings emphasize the transformative potential of quantum computing for science and industry.},
keywords = {quantum computing, qubit and superposition, quantum entanglement, quantum algorithms},
issn = {3068-7403},
publisher = {Institute of Central Computation and Knowledge}
}
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