arXiv:2110.10214 · Physical review. B./Physical review. B

Persistent homology of quantum entanglement

Bart Olsthoorn

Published Mar 31, 2023• 13 citations

Abstract

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.

DOI: 10.1103/physrevb.107.115174

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