Symmetric laplacians, quantum density matrices and their Von-Neumann entropy

We show that the (normalized) symmetric Laplacian of a simple graph can be obtained from the partial trace over a pure bipartite quantum state that resides in a bipartite Hilbert space (one part corresponding to the vertices, the other corresponding to the edges). This suggests an interpretation of...

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Hlavní autoři: Simmons, D, Coon, J, Datta, A
Médium: Journal article
Vydáno: Elsevier 2017