Symmetric Laplacians, quantum density matrices and their von-Neumann entropy

DOI10.1016/j.laa.2017.06.038zbMath1369.05138arXiv1703.01142OpenAlexW2605233041MaRDI QIDQ2401309

David E. Simmons, Justin P. Coon, Animesh Datta

Publication date: 8 September 2017

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01142

zbMATH Keywords

entropyboundsLaplacianquantumsymmetricRényi

Mathematics Subject Classification ID

Trees (05C05) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Structural characterization of families of graphs (05C75) Connectivity (05C40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (4)

Approximations for von Neumann and Rényi entropies of graphs using the Euler-Maclaurin formula ⋮ Approximations for the von Neumann and Rényi entropies of graphs with circulant type Laplacians ⋮ Condition for zero and nonzero discord in graph Laplacian quantum states ⋮ Permutation symmetric hypergraph states and multipartite quantum entanglement

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