Study of the geometric structure of general rotation matrices using the Fubini–Study metric

Authors

  • mustafa .H Mustansiriya University
  • Sajjad Muhammad M.

DOI:

https://doi.org/10.32792/jeps.v16i2.761

Keywords:

Qubit state , Rotation gates, Fubini–Study metric, Matrix analysis

Abstract

   The research aims to study how we can measure the shape of other abstract mathematical tools that help us understand more generally. The components of the matrix representing rotation gates U( th,ph,lm),  on the initial qubit state |0>,|1>  were analyzed using the Fubini–Study Metric ds^2. The results showed that they are related to the pinching constant 1/4, which is the condition with the ratio gives a sphere in topological considerations for a complete Riemannian manifold. The study also proved that the metric includes only matrices with non-zero elements (superposition gates).

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Published

2026-06-01

Issue

Vol. 16 No. 2 (2026): JOURNAL OF EDUCATION FOR PURE SCIENCE

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Articles

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Copyright (c) 2026 Journal of Education for Pure Science

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