Description
TQFTBox is an iOS computing application for topological quantum field theory, aimed at mathematical and physics researchers, graduate students, and enthusiasts. Provide six core modules: TQFT Axiomatic Construction (constructing and verifying axioms by dimension, category type, and domain type), Edge Category Linearization (multiple edge inputs and generating linearization matrices), Jones Polynomial Calculator (supporting multiple knot types and visualizing knot graphs), 3-Manifold Invariant Calculator (calculating fundamental groups, homology groups, Euler eigenvalues, etc.), Braid Group Representation Tool (inputting braid words and calculating Burau representation matrices), Quantum Gate Simulator (interactive quantum circuit construction and 2-qubit system simulation).