arXiv:1204.4830 [quant-ph]AbstractReferencesReviewsResources
Geometry of entanglement witnesses parameterized by SO(3) group
Dariusz Chruściński, Filip A. Wudarski
Published 2012-04-21Version 1
We characterize a set of positive maps in matrix algebra of 4x4 complex matrices. Equivalently, we provide a subset of entanglement witnesses parameterized by the rotation group SO(3). Interestingly, these maps/witnesses define two intersecting convex cones in the 3-dimensional parameter space. The existence of two cones is related to the topological structure of the underlying orthogonal group. We perform detailed analysis of the corresponding geometric structure.
Comments: 10 pages
Journal: Open Sys. Inf. Dyn. 19, 1250020 (2012)
Keywords: entanglement witnesses, 4x4 complex matrices, perform detailed analysis, underlying orthogonal group, matrix algebra
Tags: journal article
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