On the von neumann entropy of graphs
Web15 de mai. de 2024 · 5. Conclusion. The behavior of von Neumann entropy is challenging to understand. While many rules, such as ‘adding an edge raises entropy’ work ‘most of … Web30 de dez. de 2010 · This work shows that the von Neumann entropy of a graph's trace normalized combinatorial Laplacian provides structural information about the level of …
On the von neumann entropy of graphs
Did you know?
Web15 de jan. de 2024 · The von Neumann graph entropy (VNGE) can be used as a measure of graph complexity, which can be the measure of information divergence and … Web14 de dez. de 2008 · The von Neumann entropy of networks. Filippo Passerini, Simone Severini. We normalize the combinatorial Laplacian of a graph by the degree sum, look at its eigenvalues as a probability distribution and then study its Shannon entropy. Equivalently, we represent a graph with a quantum mechanical state and study its von …
Web11 de abr. de 2024 · Download Citation Rigidity for von Neumann algebras of graph product groups II. Superrigidity results In \cite{CDD22} we investigated the structure of … Web30 de abr. de 2013 · The Rényi α-entropy Hα of complete antisymmetric directed graphs (i.e., tournaments) is explored. We optimize Hα when α=2 and 3, and find that as α …
WebPDF The von Neumann entropy of a graph is a spectral complexity measure that has recently found applications in complex networks analysis and pattern recognition. Two variants of the von Neumann entropy exist based on the graph Laplacian and normalized graph Laplacian, respectively. Due to its computational complexity, previous works have … Web1 de dez. de 2010 · We consider the von Neumann entropy (Du et al. 2010; Feng et al. 2024), also known as Laplacian graph entropy, which recently found notable applications in complex networks analysis and pattern ...
Web8 de abr. de 2024 · We shall consider both the classical Shannon and quantum von Neumann entropies, including models based on quantum decoherence, and analyse the …
WebThe von Neumann graph entropy (VNGE) is a measure of graph complexity based on the Laplacian spectrum. It has recently found applications in various learning tasks driven by … tsh elevationsWeb11 de dez. de 2024 · The von Neumann entropy was originally introduced by von Neumann around 1927 for proving the irreversibility of quantum measurement … t shell commandWeb1If we define the von Neumann entropy H(G) of a graph to be the von Neumann entropy of its trace normalized Laplacian, then - for unions of disjoint graphs we will not have the sub-additivity property that is typically required from entropic quantity be satisfied: i.e., the von Neumann entropy of the union philosopher\u0027s 1tWeb1 de nov. de 2012 · We pose the von Neumann entropy as a new graph complexity measure. We show how this entropy can be efficiently computed using node degree statistics. We reveal the link between the Estrada’s heterogeneity index and the commute time. We embed von Neumann entropy into the thermodynamic depth to characterize … tsh elisa principleWeb1 de out. de 2024 · Abstract The von Neumann entropy of a nonempty graph provides a mean of characterizing the information content of the quantum state of a physical … philosopher\\u0027s 1zWeb12 de mai. de 2014 · Moreover, we find approximate forms of the von Neumann entropy that apply to both weakly and strongly directed graphs, and that can be used to characterize network structure. We illustrate the usefulness of these simplified entropy forms defined in this paper on both artificial and real-world data sets, including structures from protein … philosopher\\u0027s 1vWebMoreover, we find approximate forms of the von Neumann entropy that apply to both weakly and strongly directed graphs, and that can be used to characterize network … philosopher\\u0027s 1w