Geometry of entanglement witnesses parameterized by SO(3) group
Quantum Physics
2013-02-06 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1204.4830,
title = {Geometry of entanglement witnesses parameterized by SO(3) group},
author = {Dariusz Chruściński and Filip A. Wudarski},
journal= {arXiv preprint arXiv:1204.4830},
year = {2013}
}
Comments
10 pages