Persistent homology of quantum entanglement
Bart Olsthoorn · Physical review. B./Physical review. B · 2023
What shapes of entanglement are present in quantum states? Persistent homology provides an answer that contains both topological and geometrical information. This is a relatively new method from the field of topological data analysis, where shapes in discrete data are captured at varying length scales. In this case, the length scale is based on quantum mutual information, and the method is used to detect quantum phase transitions.