Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773154 | Linear Algebra and its Applications | 2017 | 11 Pages |
Abstract
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 the symmetric Laplacian's Von Neumann entropy as a measure of bipartite entanglement present between the two parts of the state. We then study extreme values for a connected graph's generalized Rényi-p entropy. Specifically, we show that
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
David E. Simmons, Justin P. Coon, Animesh Datta,