Visualizing Quantum Probabilities and Entanglement: A Computational Study.

  • Unique Paper ID: 189274
  • Volume: 12
  • Issue: 1
  • PageNo: 6341-6348
  • Abstract:
  • This study explores fundamental concepts of quantum computing through computational simulations and visualizations using Qiskit. A quantum coin toss is simulated to demonstrate the principle of superposition, with comparisons to classical coin toss outcomes highlighting the probabilistic nature of quantum states. A two-qubit entangled Bell state is then constructed and analyzed using measurements, histograms, state-city plots, and heatmaps to visualize correlations between qubits. Entanglement metrics, including concurrence and von Neumann entropy, are calculated to quantify quantum correlations. The evolution of measurement probabilities with increasing shots is also investigated to illustrate stabilization toward theoretical expectations. These simulations clearly demonstrate the differences between classical and quantum systems, emphasize the distinctive properties of entangled states, and provide accessible visual representations that enhance understanding of complex quantum phenomena.

Copyright & License

Copyright © 2026 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{189274,
        author = {Sift Kaur Chandi and Arup Kumar Harichandan},
        title = {Visualizing Quantum Probabilities and Entanglement: A Computational Study.},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {12},
        number = {1},
        pages = {6341-6348},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=189274},
        abstract = {This study explores fundamental concepts of quantum computing through computational simulations and visualizations using Qiskit. A quantum coin toss is simulated to demonstrate the principle of superposition, with comparisons to classical coin toss outcomes highlighting the probabilistic nature of quantum states. A two-qubit entangled Bell state is then constructed and analyzed using measurements, histograms, state-city plots, and heatmaps to visualize correlations between qubits. Entanglement metrics, including concurrence and von Neumann entropy, are calculated to quantify quantum correlations. The evolution of measurement probabilities with increasing shots is also investigated to illustrate stabilization toward theoretical expectations. These simulations clearly demonstrate the differences between classical and quantum systems, emphasize the distinctive properties of entangled states, and provide accessible visual representations that enhance understanding of complex quantum phenomena.},
        keywords = {Qiskit, Superposition, Entanglement, Bell State, Probability Visualization, Quantum Simulation.},
        month = {December},
        }

Cite This Article

  • ISSN: 2349-6002
  • Volume: 12
  • Issue: 1
  • PageNo: 6341-6348

Visualizing Quantum Probabilities and Entanglement: A Computational Study.

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