ADVANCED APPLICATIONS OF QUANTUM COMPUTING IN MODERN SYSTEMS: PRINCIPLES, MATHEMATICAL FOUNDATIONS, AND FUTURE DIRECTIONS

Authors

  • Dipans Verma PhD Scholar, Department of Mathematics, Amity University Maharashtra, Mumbai, dipans.verma@s.amity.edu.in
  • Abhijeet Mukund Shinde B.Tech Student, Ajeenkya DY Patil University, Pune,
  • Naahar Ingley B.Tech Student, Ajeenkya DY Patil University, Pune
  • Atharva Appasaheb Vetal B.Tech Student, Ajeenkya DY Patil University, Pune
  • Ansh Agrawal B.Tech Student, Ajeenkya DY Patil University, Pune
  • Dr. Sandeep Kulkarni Assistant Professor, Ajeenkya DY Patil University, Pune

DOI:

https://doi.org/10.53555/h2qph672

Keywords:

Quantum Computing, Quantum Algorithms, Entanglement, Quantum Circuits, Quantum Machine Learning

Abstract

Quantum computing leverages the fundamental principles of quantum mechanics to address problems that are computationally infeasible for classical systems. This paper presents a comprehensive study of quantum computing with a focus on its mathematical foundations—superposition, entanglement, quantum gates, and quantum circuits. We explore the im- plementation and practical significance of core quantum algorithms, in- cluding Shor’s algorithm for integer factorization and Grover’s algorithm for unstructured search. Emerging domains such as quantum machine learning, quantum optimization, and quantum chemistry are also exam- ined. Mathematical examples are used to illustrate the operational mech- anisms of quantum systems in real-world applications. We further ana- lyze key challenges, including scalability, quantum error correction, and hardware constraints. The paper concludes with a discussion on future research directions and the evolving role of quantum computing in modern computational paradigms.

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Published

2023-12-20

Issue

Vol. 9 No. 4 (2023): EPH-International Journal of Applied Science (ISSN: 2208-2182)

Section

Articles

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How to Cite

ADVANCED APPLICATIONS OF QUANTUM COMPUTING IN MODERN SYSTEMS: PRINCIPLES, MATHEMATICAL FOUNDATIONS, AND FUTURE DIRECTIONS. (2023). EPH-International Journal of Applied Science, 9(4), 11-15. https://doi.org/10.53555/h2qph672