Quantum Computing Essentials: Bridging Theory and Practice for New Learners
Review Article  ·  Published: 06 November 2025
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ICCK Transactions on Machine Intelligence
Volume 1, Issue 3, 2025: 117-126
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Quantum Computing Essentials: Bridging Theory and Practice for New Learners

1 Amity School of Engineering and Technology, Amity University Punjab, Mohali 140306, India
2 School of Computer Science, University of Petroleum and Energy Studies, Dehradun 248007, India
* Corresponding Author: Shubhani Aggarwal, [email protected]
Volume 1, Issue 3
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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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Quantum Computing Essentials: Bridging Theory and Practice for New Learners

Keywords

quantum computing qubit and superposition quantum entanglement quantum algorithms

Data Availability Statement

Not applicable.

Funding

This work was supported without any funding.

Conflicts of Interest

The authors declare no conflicts of interest.

Ethical Approval and Consent to Participate

Not applicable.

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Cite This Article

APA Style
Aggarwal, V., Aggarwal, S., Bhardwaj, A., & Gupta, V. K. (2025). Quantum Computing Essentials: Bridging Theory and Practice for New Learners. ICCK Transactions on Machine Intelligence, 1(3), 117-126. https://doi.org/10.62762/TMI.2025.173543
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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  - 
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@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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