## On the von neumann entropy of graphs

Web11 de dez. de 2024 · The von Neumann entropy was originally introduced by von Neumann around 1927 for proving the irreversibility of quantum measurement … Web1 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 …

On the von neumann entropy of graphs

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WebMoreover, 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 … 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 …
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 … WebThe 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 …
Web11 de abr. de 2024 · According to the AdS/CFT correspondence, the geometries of certain spacetimes are fully determined by quantum states that live on their boundaries — indeed, by the von Neumann entropies of portions of those boundary states. This work investigates to what extent the geometries can be reconstructed from the entropies in polynomial … Web20 de fev. de 2024 · Random graphs are also recognized in the literature of the von-Neumann entropy of graphs . The complexity of graphs is studied from the perspectives of thermodynamics in this direction [ 25 ] . To the best of our knowledge, this article is the first introduction of the Sharma-Mittal entropy based on graph Laplacian quantum …
WebThe entropy of entanglement (or entanglement entropy) is a measure of the degree of quantum entanglement between two subsystems constituting a two-part composite …
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 … how many inmates in the usaWeb14 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 … howard hanna binghamton nyWebThe 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- howard hanna borrower portalWeb24 de jan. de 2024 · Because of the relationship between relative entropy and the Theil index , this motivates us to refer to the bound as the graph’s von Neumann Theil index (Definition 2 below). A corollary to our main result (Corollary 3) also determines a relationship between graph von Neumann entropy and the graph entropy considered … howard hanna bought her realtorsWebOn the von neumann entropy of graphs. Journal of Complex Networks, 7(4):491–514, 2024. Francesco Ortelli and Sara Van De Geer. Adaptive rates for total variation image … how many inmates in usaWeb20 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 … how many inmates in us 2021Web30 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 … how many inmates on death row in idaho}