Entanglement and separability of graph Laplacian quantum states

Abstract

In this article, we study the entanglement properties of multi-qubit quantum states using a graph-theoretic approach. For this, we define entanglement and separability for m-qubit quantum states associated with a weighted graph on 2 m vertices. We further explore the properties of a block graph and a star graph to demonstrate criteria for entanglement and separability of these graphs. � 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.