On the von neumann entropy of graphs
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 … WebOn 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 denoising. The Journal of Machine Learning Research, 21(1):10001–10038, 2024. Filippo Passerini and Simone Severini. The von neumann entropy of networks. arXiv preprint
On the von neumann entropy of graphs
Did you know?
http://proceedings.mlr.press/v97/chen19j/chen19j.pdf 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 …
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 … Web24 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 …
Web30 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 … 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 …
Web20 de fev. de 2024 · In this article, we introduce the Sharma-Mittal entropy of a graph, which is a generalization of the existing idea of the von-Neumann entropy. The well-known R{é}nyi, Thallis, and von-Neumann entropies can be expressed as limiting cases of Sharma-Mittal entropy. We have explicitly calculated them for cycle, path, and complete …
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 distance … canfield 220 sbc headsWebAttention Deficit Hyperactive Disorder Classification Using Spectral Graphs and Von Neumann Entropy May 2013 - Jun 2015 Mentored by Dr. Ravi … fit athonWeb30 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 … fit a thonWebThe 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- fit athletic river oaksWeb1 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 … fit at home lady bossWebentanglement entropy (also known as the Von Neumann entropy) of either subsystem. This is defined as S A( ψ ) = −Tr A(ρ Alog(ρ A)) (2) where ρ Ais the reduced density matrix of A. An essential result states that the entropy of both subsystems is the same for any state ψ . This result supports our definition for the entanglement entropy. S fit at hyland hillsWeb20 de set. de 2024 · The von Neumann entropy of a graph is a spectral complexity measure that has recently found applications in complex … canfield 3d