An interactive Python notebook that visualizes the matrix exponential in real-time for $2 \times 2$ matrices. Built as a conceptual tool to illustrate the flow generated by a matrix in the plane, this project bridges linear algebra, differential equations, and Lie group theory.
Apr 20, 2025
An interactive visualization tool for exploring the Bloch sphere representation of qubit states and unitary operations. Built with ipywidgets, this app lets users intuitively rotate states on the sphere using SU(2) matrices and observe their geometric action in real time.
Apr 18, 2025
An interactive 3D notebook for visualizing the Lie bracket structure of 𝖘𝖚(2) using a geometric cross-product analogy. Developed as a demonstration for Lecture 3 (Matrix Lie Algebras) in the Lie Groups with Applications course at Quantum Formalism.
Jan 22, 2025