Conditions for separability in generalized Laplacian matrices and nonnegative matrices as density matrices

Simple item page
dc.creatorWu, Chai Wah
dc.date2005-08-22
dc.date.accessioned2026-07-07T06:25:40Z
dc.date.available2026-07-07T06:25:40Z
dc.descriptionRecently, Laplacian matrices of graphs are studied as density matrices in quantum mechanics. We continue this study and give conditions for separability of generalized Laplacian matrices of weighted graphs with unit trace. In particular, we show that the Peres-Horodecki positive partial transpose separability condition is necessary and sufficient for separability in ${\mathbb C}^2\otimes {\mathbb C}^q$. In addition, we present a sufficient condition for separability of generalized Laplacian matrices and diagonally dominant nonnegative matrices.
dc.description10 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/quant-ph/0508163
dc.identifierhttp://arxiv.org/abs/quant-ph/0508163
dc.identifierExpanded version in Physics Letters A, 251 (1-2), pp. 18-22, 2006
dc.identifierdoi:10.1016/j.physleta.2005.10.049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96889
dc.subjectQuantum Physics
dc.titleConditions for separability in generalized Laplacian matrices and nonnegative matrices as density matrices
dc.typetext

Files

Collections

arXiv