Knot Morphing Algorithm for Quantum `Fragile Topology'
Kirk E. Jordan, Ji Li, Thomas J. Peters
TL;DR
This paper introduces a knot theoretic algorithm to model fragile topology in quantum physics, providing a new mathematical approach to understand complex quantum states.
Contribution
The paper presents a novel knot morphing algorithm specifically designed to represent fragile topological phases in quantum systems.
Findings
Successfully models fragile topology using knot theory
Provides a new computational tool for quantum topology analysis
Enhances understanding of quantum states with complex topological features
Abstract
A knot theoretic algorithm is proposed to model `fragile topology' of quantum physics.
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Taxonomy
TopicsQuantum Mechanics and Applications · Noncommutative and Quantum Gravity Theories · Topological and Geometric Data Analysis