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 the time,’ as we saw in Proposition 4.1 adding an edge can decrease von Neumann entropy. Thus the Rényi-Quantum Star Test, which works for almost all graphs, seems natural for … Web1 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 …
On the von neumann entropy of graphs
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Web19 de fev. de 2024 · The von Neumann graph entropy is a measure of graph complexity based on the Laplacian spectrum. It has recently found applications in various learning … 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 …
WebThe denition of von Neumann entropy is equivalent to H = P n i=1 i ln i, where the convention 0ln0 = 0 is used due to lim x ! 0 + x ln x = 0 . Moreover, since P i i = 1 and i 0 for all i, the von Neumann entropy can be viewed as the Shannon entropy associated with the eigenspectrum f ign i=1. We consider the class of undirected weighted simple non- Web1 de out. de 2024 · A new definition of entropy for hypergraphs is introduced that takes into account the fine structure of a hypergraph by considering its partialhypergraphs, leading …
Web30 de dez. de 2010 · We prove that the von Neumann entropy of the typical Erdös–Rényi random graph saturates its upper bound. Since connected regular graphs saturate this … 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 …
Web20 de set. de 2024 · The von Neumann entropy of a graph is a spectral complexity measure that has recently found applications in complex networks analysis and pattern …
WebVon Neumann entropy is the extension of the classical Gibbs entropy in a quantum context. This entropy is constructed from a density matrix: historically, the first proposed candidate for such a density matrix has been an expression of the Laplacian matrix L associated with the network. The average von Neumann entropy of an ensemble is ... change dedicated gpu memoryWeb1 de out. de 2009 · It is remarkable that the von Neumann entropy depends on spectral properties and it can be computed efficiently. The analytical results described here and the numerical computations lead us to conclude that the von Neumann entropy increases under edge addition, increases with the regularity properties of the network and with the … changed edWeb8 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 … changed editionWeb20 de set. de 2024 · The von Neumann entropy of a graph is a spectral complexity measure that has recently found applications in complex … hardings motorcycle ohioWebFor example, the von Neumann graph entropy facilitates the measure of graph similarity via Jensen-Shannon divergence, which could be used to compress multilayer networks [13] and detect anomalies in graph streams [9]. As another example, the von Neumann graph entropy could be used to design edge arXiv:2102.09766v2 [cs.SI] 6 Jan 2024 hardings market three oaks michiganWebPDF 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 … changed educationWeb30 de abr. de 2013 · This provides an interpretation of the von Neumann entropy of the (normalized)\ Laplacian as the amount of quantum entanglement between two systems … hardings news putney